suppose an am talk radio station broadcasts radio waves with a frequency of 640 khz. calculate the wavelength of these radio waves. round your answer to significant digits.
Answer:
323 m.
Explanation:
The frequency is 640 kHz.
(wavelength) = =
We will now change 640KHz to Hz. This is attainable as follows:
1 KHz = 1000 Hz
Therefore,
640 KHz is equal to 640 KHz 1000 Hz / 1 KHz.
640 kHz = 64×10⁴ Hz
As a result, 640KHz is equal to 64025 Hz.
The following equation connects a wave's wavelength () and frequency (f):
Wavelength x Frequency = Velocity
v = λf
The radio wave wavelength can be calculated using the formula above as follows:
Frequency (f) equals 64 to 104 Hz
The electromagnetic wave's (v) speed is 3 x 108 m/s.
(wavelength) = =
v = λf
3×10⁸ = λ × 64×10⁴
By 64025, divide both sides.
λ = 3×10⁸ / 64×10⁴
λ = 487m
Consequently, the radio wave's wavelength is 487 m.
To know more about wavelength click on this length:
brainly.com/question/4112024
#SPJ4
6. What is the
displacement of a horse that runs at a velocity
of 3.2 m/s [S] for 12 s? T/I h
The displacement of the horse is 38.4 m/s.
Given :
velocity of the horse = 3.2 m/s
The time that the horse
displacement of the horse =?
According to the formula,
velocity = displacement/time
we can get the value of displacement.
That is, displacement = velocity×time
Substituting the values of velocity and time, we get
displacement = 3.2 × 12 m
That is, displacement = 38.4 m
Hence, the displacement of the horse is 38.4 m/s.
It measures the length and angle of the net motion, or total motion, in a straight line from the starting point to the destination of the point trajectory. The translation that links the starting point and the ending point can be used to spot a displacement. The final location of a point relative to its beginning position xi, or a relative position (derived from the motion), is another way to express a displacement. The difference between the end and beginning positions can be used to define the equivalent displacement vector:
To learn more about displacement refer to the link:
brainly.com/question/11934397
#SPJ9
two particles, one with charge −3.77×10−6 c and the other with charge 6.91×10−6 c, are 0.0584 m apart. what is the magnitude of the force that one par
The magnitude of the force that one particle exerts on the other particle is 68.6 N.
The charge of the first particle is q1.
[tex]q _{1}= - 3.77 \times 10 ^{ - 6} \: C[/tex]
The charge on the second particle is q2.
[tex]q _{2}= 6.91\times 10 ^{ - 6} \: C[/tex]
The distance between the two charged particles is d.
d = 0.0584
The magnitude of the force that one particle exerts on another particle is,
[tex]F= k \frac{q _{1} q _{2}}{(d) ^{2} }[/tex]
[tex]F=9 \times 10 ^{9} \times \frac{ - 3.77 \times 10 ^{ - 6} \times 6.91 \times ^{ - 6} }{(0.0584) ^{2} } [/tex]
F = 68.6 Newton
Therefore, the magnitude of the force that one particle exerts on another particle is 68.6 N.
To know more about force, refer to the below link:
https://brainly.com/question/13191643
#SPJ4
When placed inside of a magnetic field, the magnetic field that electrons generate aligns in the opposite direction of the applied magnetic field. This has what effect on the nucleus the electrons are around?.
The effect is that the electrons shield the nucleus from the magnetic field.
What is a magnetic field?A magnetic field is a vector field that explains the magnetic influence on moving electric charges, electric currents, and magnetic materials.
A force perpendicular to the charge's own velocity and the magnetic field acts on it when it moves through a magnetic field.
Moving electric charges generate magnetic fields.
Everything is constructed of atoms, and each atom has an orbiting nucleus that is composed of protons and neutrons.
Compass, motors, refrigerator magnets, railroad tracks, and modern roller coasters are all examples of objects that use magnetic force.
Charges that travel across its areas feel a force. All moving charges produce a magnetic field.
To learn more about the magnetic fields, refer
https://brainly.com/question/15600432
#SPJ4
How many seconds would it take a boat to accelerate from 13 m/s to 26 m/s over a distance of 1.25 km?
Time taken by the boat to accelerate is 1 min 4 s.
How to calculate the time taken?V[tex]f_{2}[/tex] - V[tex]o_{2}[/tex] = 2 a X ,
a = Vf2 - Vo2 / 2 X
= (26 m/s)2 -(13m/s)2 / 2(1250m)
= 507 m2/s2 / 2.5 m = 0.203 m/s2
Solve for time using the equation with acceleration known.
Vf = at + Vo ,
t = Vf - Vo / a = 26m/s -13m/s/ 0.203 m/s2
= 64 s
= 1 min 4 s
To learn more about time, refer
https://brainly.com/question/25800303
#SPJ4
You have found that tides on earth are determined primarily by the position of the moon, with the sun playing only a secondary role. Why does the moon play a greater role in causing tides than the sun?.
You have found that tides on earth are determined primarily by the position of the moon, with the sun playing only a secondary role. The moon play a greater role in causing tides than the sun, because of the Sun's higher gravitational pull on Earth, the planet revolves around it. Tides, on the other hand, are brought on by variations in the gravitational pull on Earth.
Despite the fact that the gravitational pull between Earth and the Moon is weaker than the attraction between Earth and the Sun, the Moon's considerably closer proximity to Earth causes this attraction to fluctuate more widely throughout the planet.
Because of this, the Sun only has a little secondary effect on tides, which are predominantly caused by the Moon.
Stars are celestial bodies that generate their own energy through the fusing of gases. They resemble bright orbs that burn gas and produce energy. Our solar system's star, the Sun, generates energy through the fusion reaction in which helium transforms into hydrogen.
Learn more about sun:
https://brainly.com/question/15837114
#SPJ4
The complete question is ''You have found that tides on Earth are determined primarily by the position of the Moon, with the Sun playing only a secondary role. Why does the Moon play a greater role in causing tides than the Sun?- Because the gravitational attraction between Earth and the Moon varies more across Earth than does the gravitational attraction between Earth and the Sun
Alcohol thermometer cannot measure the temperature of boiling water, why?
Answer:
Because it has a limit of up to 80°C
Explanation:
on which date will the sun’s altitude be highest for an observer at 23 degrees north latitude? on which date will the sun’s altitude be highest for an observer at 23 degrees north latitude? march 21 june 21 september 21 december 21
On June 21 the sun’s altitude will be highest for an observer at 23 degrees north latitude.
What is special on June 21?In the Northern Hemisphere, June 21 is both the longest day and the shortest night of the year. Here summer solstice occurs.
It is during this time that the Northern Hemisphere is closest to the Sun, and the Sun shines directly overhead on the Tropic of Cancer (23.5° North). North and south of the equator, the Tropics of Cancer and Capricorn, respectively, are located at latitudes of 23.5°.
At 5:14 a.m. Eastern time, the summer solstice occurs in 2022. As far north as the sun ever shines in the sky, it is exactly overhead the Tropic of Cancer at this particular moment.
The June solstice depends on the moment the Sun crosses its northernmost point from the celestial equator, not on any particular day or time on the calendar.
To learn more about the June solstice, refer
https://brainly.com/question/20811258
#SPJ4
The buildup of thermal energy in a collapsing gas cloud leads to thermal pressure that can halt the gravitational collapse. What must happen for the gravitational collapse to continue?.
Answer:The buildup of thermal energy in a collapsing gas cloud leads to thermal pressure that can halt the gravitational collapse. What must happen for the gravitational collapse to continue? The cloud must radiate away some of its thermal energy.
Explanation:
What did gravity create when 99% of the gas and dust materials were gathered into the center of a flattened disc during the formation of the solar system?.
Solar nebula is created when 99% of the gas and dust materials were gathered into the center of a flattened disc during the formation of the solar system.
The explosion of flattened disc created waves in space that compressed the cloud of gas and dust. The cloud is all gravitationally bounded together.
As the cloud continued to fall inward, the center eventually became so hot that it became a star, the Sun, and blew away most of the new solar system's gas and dust with a powerful stellar wind.
This squeeze caused the cloud to begin collapsing as gravity pulled the gas and dust together to form the solar nebula.
To know more about Solar nebula,
https://brainly.com/question/17642997
#SPJ4
Advantages and disadvantages of reflecting telescope
Answer:
advantages is you can look at the stars disadvantage is don't look at the sun you will go blind
Briefly explain how can you use the plot made in step 10 to determine the gravitational acceleration?
Answer:
The Force
Explanation:
Gravitational Acceleration is the Acceleration of a free fall of a object.
a race car starts from rest and travels east along a straight and level track. for the first 5.0 s of the car's motion, the eastward component of the car's velocity is given by vx(t)
The acceleration is aₓ = 7.54 m/s².
How to find the acceleration?The rate at which an item changes its velocity is known as the vector quantity known as acceleration.
When an object's velocity changes, it is said to be accelerating.
uₓ(t) = (0.980 m/s³) t²
The time-dependent derivative of velocity is acceleration.
aₓ(t) = 2 (0.980 m/s³) t
aₓ(t) = (1.96 m/s³) t
When,
uₓ = 14.5 m/s, the time is:
14.5 m/s = (0.980 m/s³) t²
t = 3.85 s
Connecting to the acceleration equation,
aₓ = (1.96 m/s³) (3.85 s)
aₓ = 7.54 m/s²
To learn more about acceleration, refer
https://brainly.com/question/18608559
#SPJ4
For this assignment, consider the fact that our country spends millions of dollars each year to explore space and to learn about the structure and composition of the universe. Why do you think learning about space is a priority for our country and why are we willing to spend so much money on it? Create a discussion post about your thoughts on space exploration, including why or why not you think space exploration should be a national priority and what you think scientists hope to learn by continuing to explore the makeup of the universe.
I think that our nation's leaders prioritize space education because they see the potential benefits for us in the future.
The phrase "space exploration" is used to describe any activities connected to the study of space. Space exploration has generally been one of the subjects that mankind have been interested in. However, fresh discoveries have been made in recent years as a result of technological advancements.The majority of people on Earth are interested in space exploration because we think we fully understand the Earth's space and we want to go beyond what is possible. But the question is: Should space exploration be a top priority for the country?Space exploration shouldn't, in my opinion, be a top priority for our government since the millions of money spent on it may be better spent on enhancing the lives of many people here on Earth and abroad.I don't mean to imply that space exploration is a topic that doesn't merit consideration and investigation. However, I do think that it shouldn't be a top priority. Instead of looking for life on other planets and potentially habitable spaces when we already have our place in the universe, we should consider that our reality is on Earth and use those resources to protect it from the environmental damage we have caused it.To know more about space exploration visit : https://brainly.com/question/1979086
#SPJ1
What is a good way to turn an interview into a human interest story? A. By identifying a key quotation B. By making up some information C. By presenting two people as one D. By presenting the whole interview
Identifying a key quotation is a good way to turn an interview into a human interest story. Option A
This is further explained below.
What is a key quotation?Generally, Locating quotes that provide light on the underlying ideas of the text.
In conclusion, Being a good listener is the single most significant factor in determining one's level of success. "Accept both who you are and the heavenly purpose that you were created for.
Determine the obstacles that you face in your life and work on cultivating the self-discipline, fortitude, and strength necessary to overcome them in a way that is long-lasting so that you may continue to make progress.
Identifying a key quotation is a good way to turn an interview into a human interest story.
Read more about key quotation
https://brainly.com/question/25891426
#SPJ1
URGENT! PLEASE HELP
(I will give brainliest!)
please detail it
Essay: list two major type of waves: contrast their structure and the motion of particles in the transmitting substance
Answer:
While waves that travel within the depths of the ocean are longitudinal waves, the waves that travel along the surface of the oceans are referred to as surface waves. A surface wave is a wave in which particles of the medium undergo a circular motion.
Explanation:
Are you satisfied or I should continue in the comments.
1. An object falls from rest on a high tower and takes 5.0 s to hit the ground. Calculate the object’s position from the top of the tower at 1.0 s intervals. Make a position-time graph for the object’s motion. In your response, show what you are given, the equation that you used, any algebra required, a table of data, and your graph.
g=9.8 m /s^2
Create a graph with the x-axis indicating time and the y-axis showing distance (displacement from the top) (label axes and give units for each).
A line with an upward slope that progressively becomes steeper as it continues will be the one that fits the data the best. Avoid using straight lines to connect the graph's points.
This is further explained below.
What is the object’s position from the top of the tower at 1.0 s intervals?Generally, the equation for distance is mathematically given as
d = ut + ½.at²
Therefore
For 1.0s
d = 0.5 x 9.80 x (1²)
d= 4.90 m
For 2.0s
d' = 0.5 x 9.80 x (2²)
d'= 19.60 m
For 3.0s, 4.0s, 5.0s Respectively
d'' = 44.10m
d''' = 78.40 m
d'''' = 122.50m
In conclusion, Draw a graph with the y-axis representing distance (displacement from the top) and the x-axis representing time (label axes and give units for each).
The line that provides the greatest fit will be an upwardly sloping line that gradually becomes steeper as it goes on. Do not connect the graph points with lines that are straight.
Read more about the time
https://brainly.com/question/28050940
#SPJ1
A solid cylinder (radius = 0.150 m, height = 0.120 m) has a mass of 6.70 kg. This cylinder is floating in water. Then oil ( = 725 kg/m3) is poured on top of the water until the situation shown in the drawing results. How much of the height of the cylinder is in the oil?
Answer:
0.0917 m
Explanation:
Fnet = 0
Fb1 + Fb2 - mg = 0
ρ1V1g + ρ2V2g - mg = 0
(725)V1(9.8) + (1000)V2(9.8) = (6.70)(9.8)
7105V1 + 9800V2 = 65.7
Volume of cylinder = pi * r^2 * h = 8.48 * 10^-3 m^3
let x = percentage of volume in oil
V1 = (8.48 * 10^-3)x
V2 = (8.48 * 10^-3)(1-x)
7105(8.48 * 10^-3)x + 9800(8.48 * 10^-3)(1-x) = 65.7
x = 0.764
Height in oil = Total height * x = (0.120 m)(0.764)
Height in oil = 0.0917 m
the asthenosphere is an important layer because it . 5) a) responds to forces by flowing as it is relatively strong b) responds to forces by staying rigid as it is relatively strong c) responds to forces by flowing as it is relatively weak d) responds to forces by staying rigid as it is relatively weak
The asthenosphere is an important layer because it responds to forces by flowing as it is relatively weak.
This is because the asthenosphere is solid, but mobile, meanwhile the lithosphere is solid and relatively rigid.
What is asthenosphere?The Earth's upper mantle contains an area known as the asthenosphere, which is ductile and mechanically fragile. Between 80 and 200 km (50 and 120 mi) below the surface, it is located beneath the lithosphere, and it can reach a depth of 700 km (430 mi). It is difficult to determine the asthenosphere's lower border, though.
Despite the asthenosphere being almost completely solid, its mechanical weakness is caused by a tiny quantity of rock melting (less than 0.1% of the rock). This is the primary source of magma on Earth because as it wells higher, more extensive decompression melting of the asthenosphere occurs.
It is where some magmas that erupted above subduction zones or in areas of continental rifting, as well as mid-ocean ridge basalt (MORB), originated.
Learn more about asthenosphere
https://brainly.com/question/6500268
#SPJ4
is calcium bromide a element, compound, solution, or heterogenous mixture
Calcium Bromide, commonly known as calcium dibromide, is an ionic compound since the second element is a nonmetal, resulting in an ionic compound. It is referred to as a hydrated salt.
What is a Compound?A chemical compound is a material made up of several similar molecules that include atoms from more than one chemical element and are kept together by chemical bonds. A molecule made up of only one element's atoms is hence not a compound.
What is a solution?A solution is a form of homogenous combination made of two or more components in chemistry. A solute in such a combination is a material that has been dissolved in another substance known as a solvent.
Learn more about Compound:
https://brainly.com/question/704297
#SPJ1
CALCALATE the temperature change when 1000j of heat is supplied to 100g of water
Answer:
2.39 °C
Explanation:
Specific heat of water = 4187 j / kg °C (You eaither have to be given this, or know this or look it up)
100 g of water = .1 kg of water
1000 j / (.1 kg * °C) = 4187 j / (kg °C)
solve for C = 2.39°C
How are independent and dependent variable related? Give an example.
2. A car accelerates uniformly from +10.0 m/s to +40.0 m/s over a distance of 125 m. How long did it take to go that distance? Show all your work, including the equation used, given and unknown quantities, and any algebra required. Make sure your answer has the correct number of significant figures.
The time taken for the car to cover the distance of 125 m is 5 seconds
How to determine the timeFrom the question given above, the following data were obtained:
Initial velocity (u) = 10 m/sFinal velocity (v) = 40 m/sDistance (s) = 125 mTime (t) =?The time taken for the car to cover the 125 m distance can be obtained as illustrated below:
s = (u + v)t / 2
125 = [(10 + 40) × t] / 2
125 = (50 × t) / 2
Cross multiply
50 × t = 125 × 2
50 × t = 250
Divide both sides by 50
t = 250 / 50
t = 5 s
Thus, the time taken by the car to cover the 125 m distance is 5 seconds
Learn more about velocity:
https://brainly.com/question/3411682
#SPJ1
The same runner then moves from position 12m to position 20m. what is the distance traveled during this segment of the motion?
Distance = Displacement = 8 meters.
While a person's displacement is equal to the shortest path taken, their total distance travelled is equal to their whole trip.
What is displacement?The displacement in geometry and mechanics is the smallest separation between the beginning and end positions of a point P.It determines the length and direction of the net motion, also known as the total motion, along a straight line from the point trajectory's starting point to its ending point.A displacement may be discovered by using the translation that joins the starting point and ending point.The overall distance travelled by a person is equal to their entire trip, but their displacement is equal to the shortest path they took.To know more about displacement ,refer to the following link:
https://brainly.com/question/321442
#SPJ4
you are given a block with a known volume of 15.0 cm3. use the following scenarios to determine if the data is accurate, precise, both, or neither. you measure the block four times and find that its volume is 14.6 cm3, 14.7 cm3, 14.7 cm3, and 14.6 cm3. your measurements are: you are given a block with a known volume of 15.0 cm3. use the following scenarios to determine if the data is accurate, precise, both, or neither. you measure the block four times and find that its volume is 14.6 cm3, 14.7 cm3, 14.7 cm3, and 14.6 cm3. your measurements are: precise, not accurate accurate, not precise both precise and accurate neither precise nor accurate
The measurements are accurate but not precise.
Measurement is the basis for all scientific and technological developments. The measurement of any quantity is not perfect and there are always some uncertainties that cause errors in the measurements. While measuring anything we define the measurements in terms of precision and accuracy.
The accuracy of a measurement is a measure of how close the calculated value is to the true value. While precision tells to what resolution or limit the quantity is measured. For example, suppose the true value of a length is 10.578 cm. In the first case, the value comes out to be 10.4 cm. In the second case, the value comes out to be 10.378 cm. In the above example, the first value is accurate because it is close to the true value but the second value is precise because it contains more digits after the decimal.
Similarly, in the above case, a block with a known value of the volume of 15 cm^3 and the measurements are 14.6, 14.7, 14.7, 14.6 cm^3. As the values are close to the true value but they contain less number of digits after decimals, these values are accurate but not precise.
To know more about "precision and accuracy", refer to the link given below:
brainly.com/question/18974348?referrer=searchResults
#SPJ4
Which graphs show the correct relationship between kinetic energy and mass? A. Graph representing a relationship between mass on the x-axis and kinetic energy on the y-axis. the line starts at the origin and increases upwards B. Graph representing the relationship between mass on the x-axis and kinetic energy on the y-axis. the curve starts at the origin and keeps on increasing C. Graph representing a linear relationship between mass on the x-axis and kinetic energy on the y-axis D. Graph representing a relationship between mass on the x-axis and kinetic energy on the y-axis. the line starts at the origin and increases as it goes with a small bend
The graph representing a linear relationship between mass [m] on the x-axis and kinetic energy (E[k]) on the y-axis is the correct graph.
What is Mechanical Energy ?Mechanical energy is the energy of either an object in motion or the energy that is stored in objects by their position. Mechanical energy is the sum of Kinetic and Potential Energy. Mathematically -
E [M] = E [K] + E [P]
Given is a set of statements that represents the relationship between mass and Kinetic energy of the body.
The Kinetic energy of the body is the energy of the body by virtue of its motion. Consider a body of mass 'm' moving with velocity 'v' in a straight line. The Kinetic energy of the body will be -
E [K] = 1/2 mv²
If we assume that the velocity remains constant, than the value of 1/2 v² will become constant (say A). Then, the equation can be written as -
E [K] = A × m ... Eq. 1
The general equation of a straight line representing a linear equation whose y - intercept is 0 is -
y = mx ... Eq. 2
Comparing Eq. 1 and Eq. 2, we get -
y = E [K] {Kinetic energy}
m = A {slope of line}
x = m {mass}
For A = 1
E [K] = m
E [K] [tex]\alpha[/tex] m
The graph will be linear in relationship with Kinetic energy along y - axis and mass along the x - axis. The graph is attached with the answer.
Therefore, the graph representing a linear relationship between mass [m] on the x-axis and kinetic energy (E[k]) on the y-axis is the correct graph.
To solve more questions on Kinetic energy, visit the link below-
https://brainly.com/question/19309255
#SPJ1
What is the mass of a cannonball if a force of 2,500 n gives the cannonball an acceleration of 200 m/s2? 12.5 kg 12.5 kg 15.0 kg 15.0 kg 20 kg 20 kg 25 kg
The mass of the cannonball is 12.5 kg.
Force on cannonball = 2500N
Acceleration on cannonball= 200 m/s²
From, Newton's second law of motion
Force = Mass × Acceleration
Mass = [tex]\frac{Force}{Acceleration}[/tex] .......(i)
Now, putting the values in equation (i),
Mass = [tex]\frac{2500}{200}[/tex]
Mass = 12.5 kg
Thus, the mass of the cannonball is 12.5 kg.
Read more about Newton's Second Law:
https://brainly.com/question/26296055
#SPJ4
A car travels up a hill at a constant speed of 33 km/h and returns down the hill at a constant speed of 72 km/h. calculate the average speed for the round trip.
The average speed for the round trip is 90.51 km/hr when a car travels up a hill at a constant speed of 33 km/h and returns down the hill at a constant speed of 72 km/h.
To find the average speed for the round trip, the given values are,
constant speed v₁ = 33 km/hr
constant speed v₂ = 72 km/hr
What is average speed?The average speed of the car is defined as the ratio of the total distance travelled by the car to the total time taken by the car.Average speed = total distance traveled / total time taken
Let d is the total distance traveled by the car.
Thus , distance traveled in each journey is d/2.
So, the time taken for going up the hill is t₁ = (d/2) / v₁
= (d/2) / 33
= d / 66
Next, the time taken for going down the hill is t₂ = ( d/2 ) / v₂
= ( d/2) / 72
= d / 144
Thus, average speed is v avg = 2d / ( t₁ + t₂ )
= 2d / ( ( d/66)+(d/144))
= 2d / (210d / 9504)
= 2d / 0.0220959
= 90.51 km/hr.
The average speed of the round trip is 90.51 km/hr.
Learn more about the average speed,
https://brainly.com/question/13287653
#SPJ1
a cylindrical container 1.0 m tall contains mercury to a certain depth, d. the rest of the cylinder is filled with water. if the pressure at the bottom of the cylinder is two atmospheres, what is the depth d?
The pressure at the bottom of the cylinder is two atmospheres at the depth d will be 202650 Pa.
What is pressure?The force delivered perpendicularly to an object's surface per unit area across which that force is dispersed is known as pressure. In comparison to the surrounding pressure, gauge pressure is the pressure. Pressure is expressed using a variety of units.
Calculate the size of that surface. Check to see that both numbers are expressed in the proper units, such as newtons/meters squared or pounds/inches squared. By the area, divide the force. The units of measurement for your pressure are pascals (Pa) or pounds per square inch (psi).
[tex]P = {P_{{\rm{atm}}}} + {\rho _1}gd + {\rho _2}g{h_2}[/tex]
[tex]{h_2} = \left( {1 - d} \right)\\P = 2\;{\rm{atm}}\\\begin{array}{c}\\P = \left( {2\;{\rm{atm}}} \right)\left( {\frac{{101325\;{\rm{Pa}}}}{{1\;{\rm{atm}}}}} \right)\\\\ = 202650\;{\rm{Pa}}\\\end{array}[/tex]
to learn more about pressure go to -
https://brainly.com/question/945436
#SPJ4
When used at a wavelength of 1 micron, a telescope can resolve angles as small as 0. 1 seconds of arc. How small an angle could the telescope resolve when used at a wavelength of 5 microns?
Answer:
θ = 1.22 λ / D
Above is the formula calculated for a circular aperature
If the wavelength is multiplied by 5 then the angle of resolution would be 5 times as great or 5 * θ
5 * θ = .5 seconds