The formula to determine the period of one swing of a simple pendulum is T=2\pi\sqrt{\frac{L}{g}},T=2 g L , where LL is the length of the string and gg is the acceleration due to gravity. Solve the formula to solve for LL in terms of \pi,, TT and g.G.

Mathematics High School

The formula to determine the period of one swing of a simple pendulum is T=2\pi\sqrt{\frac{L}{g}},T=2π g L , where LL is the length of the string and gg is the acceleration due to gravity. Solve the formula to solve for LL in terms of \pi,π, TT and g.G.

Answers

Answer 1

Answer:

L = (T² × g) / 4π²

Step-by-step explanation:

T = 2π√L/g

Where,

L = length of the string

g = acceleration due to gravity

T = 2π√L/g

square both sides of the equation to eliminate the square root

T² = (2π)²√(L/g)²

T² = (2π)²(L/g)

(2π)²

= 2π × 2π

= 4π²

T² = 4π²(L/g)

Multiply both sides by g

T² × g = 4π²(L/g) × g

T² × g = 4π²L

Divide both sides by 4π² to get L

L = (T² × g) / 4π²

$The Formula To Determine The Period Of One Swing Of A Simple Pendulum Is T=2\pi\sqrt{\frac{L}{g}},T=2$

Related Questions

At Superior Engraving, a trophy costs $12.50 and engraving on the trophy costs $0.40 per letter. At another store, Duluth Trophy, the same trophy costs $14.75 and engraving costs $0.25 per letter. How many letters must be engraved for the costs to be the same at both places?

Answers

Answer:

The answer is 15 words

Step-by-step explanation:

Taking the problem as a algebraic expression, we get

[tex]12.50 + 0.40x = 14.75 + 0.25x[/tex]

Now, subtracting 12.50 + 0.25x from both sides, we get

[tex]0.15x = 2.25[/tex]

Therefore,

No of words = 2.25/0.15 = 15

what was the ratio of the number of sedans to the number of suvs produced by company x last year? 1) last year, if the number of sedans produced by company x had been 8 percent greater, the number of sedans produced would have been 150 percent of the number of suvs produced by company x 2) last year, company x produced 565,000 sedans and 406,800 suvs

Answers

The ratio is 25:18.

This problem is related to the ratio and proportion.

here it's miles given that if the number of sedans produced by organisation x have been extra by using 8% then the quantity would be one hundred fifty % of the quantity of SUVs.

1) Let that the number of sedan produced be x and number of SUVs be y.

Now according to question,

[tex]x+\frac{8}{100}*x =\frac{150}{100}*y[/tex]

⇒[tex]\frac{108x}{100}=\frac{150y}{100}[/tex]

⇒[tex]\frac{x}{y} =\frac{150}{108}[/tex]

∴ x : y=25 : 18

2) Now again the ratio =[tex]\frac{565000}{406800}[/tex]

=[tex]\frac{5650}{4068}[/tex]

= [tex]\frac{25}{18}[/tex]

So, the ratio of the number of sedans to the number of SUVs is 25:18.

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write in standard form if needed classify the polynomial 14y^2-x^2-3xy

Answers

Therefore, we can classify the polynomial as a quadratic polynomial.

What is polynomial?

A polynomial is a mathematical expression that consists of variables and coefficients, and involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and may contain multiple terms. Each term consists of a coefficient and a variable raised to a power. The degree of a term is the power to which the variable is raised, and the degree of a polynomial is the highest degree of any of its terms. Polynomials are used in many areas of mathematics, science, and engineering, such as algebra, calculus, geometry, and physics. They are used to model real-world phenomena, to solve equations, and to approximate complex functions.

Here,

To write the polynomial 14y² - x² - 3xy in standard form, we need to arrange the terms in descending order of degree (highest degree term first) and combine like terms.

First, let's rearrange the terms:

x² - 3xy + 14y²

Now, the polynomial is in descending order of degree. We don't need to do anything else to put it in standard form.

To classify the polynomial, we count the number of terms and the highest degree of those terms. In this case, there are three terms and the highest degree term is 14y², which has degree 2.

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Find the Volume of the shape

Answers

Step-by-step explanation:

V = πr²*(h/3)

diameter = 6, r=3

V = π*9*(24/3)

= 81π

which is approximately

254.5 in³

What is 130% of 56 lbs.

Answers

130% of 56=
(130\100)*56
(130*56)/100
7,280/100

=72.8

50 points and BRAINLIEST

Answers

Answer:

AZ = 12.80

Step-by-step explanation:

There are 2 triangles in the square XARS. Squares are always congruent, all sides are the same. Given that WT is 6, we can assume that RS is also 6 (because of congruency). RA is is the hypotenuse of the triangle ARS. To find AS, we can plug in the pythagorean theorem 6^2+x=^2=10^2. We end up getting square root of 64 which simplifies to 8. AS is now 8. We also know that ST is 6 since the square WRST has all congruent sides. 8+6=14 gives us line AT. TZ is 8 due to triangle XAR and the congruency theorem. Now we plug in pythagorean theorem to find AZ and we get 8^2+10^2=x^2. After simplifying the square root of 164, we see that AZ is equal to 12.80

Answer:

12.80

Step-by-step explanation:

SO IT IS 12.80 BECAUSE IT IS 12.80. SIMLIFY TO 12.8 SO YEAH!!

HOPE YOU UNDERSTAND.

what is a reciprocal for fractions?

Answers

Answer:

You just flip the fraction.

Step-by-step explanation:

For example the reciprocal of 4/9 is 9/4

Hopefully this helps you :) Have a great day. Good luck on your question.

a reciprocal is when you flip a fraction. ex: 1/2 the reciprocal is 2/1

Frank, Mauricio, Amber, and Tiana each set a goal to run 10 miles a week. This table shows how much of each runner's goal has been met. Which list shows the numbers in the table in order from least to greatest?

Answers

Answer:

Its 0.45, 67%, 4/5, 6/7

Step-by-step explanation:

4/5 - 0.80

0.45 - 0.45

6/7 - 0.85

67% - 0.67

Also I took the test

While practicing her foul kicks for soccer, Louisa made 85% of her shots. If she made 51 shots, how many shots did she kick in total?

Answers

Answer:

the exact answer is 58.65

Step-by-step explanation:

since she made 85% of her shots, that means in total from her 51 shots, she made 115% more than 51 (you add 15% to 100%). The 15% is from the difference of 100% and 85%. You then change 115% to fraction form (1.15) and multiply it by the amount of shots made, getting you 58.65. Since you can't make a fraction in terms of a real life scenario like this, you prob need to round or something. Diff teachers want diff things

The answer is 60 because you would do 100 divided by 85 multipled by 51

Can someone please help me with this!! I don't know how to do this

Answers

Answer:

length: 37

width: 11

Step-by-step explanation:

2(4x-7)+2x=96

8x-14+2x=96

10x-14=96

10x=110

x=11

Answer the two following question and will mark Brainliest

Answers

Answer:

The answer is C

Step-by-step explanation:

How do I know?

Well first you have to see where it is going with this. It is negative no? so cross out the postive numbers. Then you are left with infinite and (-4,-8). Now do you see the pattern. -4, -4, -8. It will not go to infinite so cross out that. Now what are you left with? That's right (-4,-8)

Please don't forget to mark me brainliest.

Please help! I need help i keep getting them wrong

Answers

Answer:

[tex]y = \frac{7}{4}x - \frac{5}{4}[/tex]

Step-by-step explanation:

Equation of line K: [tex]y = \frac{-4}{7}x + 1[/tex]

m₁ = -4/7

The slope of line I = -1 / m₁ = -1÷(-4/7)

= [tex]-1 * \frac{-7}{4}[/tex]

= 7/4

( -5 , -10) ; m = 7/4

y - y1 = m(x - x1)

y - [-10] = [tex]\frac{7}{4}(x -[-5])[/tex]

y + 10 = [tex]\frac{7}{4}(x +5)\\[/tex]

y + 10 = [tex]\frac{7}{4}x+5*\frac{7}{4}\\[/tex]

[tex]y = \frac{7}{4}x + \frac{35}{4} - 10\\\\y = \frac{7}{4}x + \frac{35}{4} -\frac{40}{4}\\\\y = \frac{7}{4}x + \frac{35-40}{4}\\\\y = \frac{7}{4}x - \frac{5}{4}[/tex]

Peter makes $15 an hour working at the grocery store and $12 an hour babysitting. He needs to make a minimum of $325 for a new bike. Which inequality best represents the situation, where g represents the number of hours at the grocery store and b represents the number of hours babysitting?

Answers

Answer:

15g + 12b ≥ 325

Step-by-step explanation:

g represents the number of hours at the grocery store

b represents the number of hours babysitting?

We are told that he need to make a minimum of: $325 for a new bike

Minimum means at least $325

Therefore, our inequality equation that best represents the situation is:

15g + 12b ≥ 325

Plz help with number 18 thx

Answers

Answer:

Step-by-step explanation:

While on a business trip to Belleville, Cindy treated her co-workers to a meal that cost $2.86. Cindy knew that when the bill came, she would need to pay Belleville sales tax of 15% and would want to leave an 18% tip on the original $2.86. Including tax and tip, how much did Cindy's meal cost?

Answers

Answer:

i think about $3.80

Step-by-step explanation:

1). 7x+(-6)=6x-2 True or False
2). 7+2x=3x+3=4 True or False
SHOW WORK

Answers

The first equation given as 7x + ( -6 ) = 6x - 2 is True.

The second equation given as 7 + 2x = 3x + 3 = 4 is false

How to find if the equation is true or false

Given data

7x + ( -6 ) = 6x - 2

7 + 2x = 3x + 3 = 4

The first equation

7x + ( -6 ) = 6x - 2

solving for x gives

7x - 6 = 6x - 2

7x - 6x = 6 - 2

x = 4

checking for the value

7x + ( -6 ) = 6x - 2

7 * 4 - 6 = 6 * 4 - 2

28 - 6 = 24 - 2

22 = 22

Hence we say the expression in the first equation is true

The second equation

7 + 2x = 3x + 3 = 4

7 + 2x = 3x + 3

7 - 3 = 3x - 2x

4 = x

checking for the value of x

7 + 2x = 3x + 3

7 + 2 * 4 = 3 * 4 + 3

7 + 8 = 12 + 3

15 = 15

15 = 15 ≠ 4 false

The first equation is true while the second equation is false

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Which fraction has the same value as 3/5 + 1/3?

Answers

Answer:

4/15

Step-by-step explanation:

Answer:

Answer: If you find the common denominator of both fractions, it is 15!

Your answers are gonna be 9/15 + 5/15

If you add them, you get 14/15

Hope this helps!

Also please correct me if I am wrong aa

100 meters to 12 seconds for a runner to be on the team the ratio must be less thar or equal to 0.95 what is the slowest time 100 meters can be run to make the team

Answers

11.4 is the slowest time 100 meters can be run to make the team .

What in mathematics is a linear equation?

There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.

Total time we spent 100 meters track = 12 sec

he ratio must be less that or equal to = 0.95

slowest time 100 meters can be run to make the team = 12 × 0.95

= 11.4

Learn more about Linear equation

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The complete question is -

TRACK A college track coach compares the ratio of time it takes a runner to run 100 meters to 12 sec . For a runner to be on the team, the ratio must be less than or equal to 0.95 . What is the slowest time 100 meters can be run to make the team?

The company in the example on page 301 decides to increase the capacity of its large bottles from 32 fl oz to 40 fl oz. It plans to keep the ratio of capacity to cost the same. How much should the company charge for a bottle that holds 40 fl oz

Answers

Answer:

Cost of new bottle = 1.25a

Step-by-step explanation:

Given:

Volume of old bottle = 32 fl oz

Volume of new bottle = 40 fl oz

Computation:

Assume price ratio of old bottle = a

So,

Price ratio of new bottle [Compare by capacity] = [40/32]a

Cost of new bottle = 1.25a

suzanna need a borad that is a least 3.5 meters long.Is the board long enogh

Answers

Answer:

sweet god yes it is unless she 12 feet tall then no

Step-by-step explanation:

Answer: No.

Step-by-step explanation: No, because 3.5 converted is 350 and you need 370. Might be to late but hopefully this can help someone else!

Triangle JKL has an area of in2 and a perimeter of in.

Answers

Answer:

Area = 24 in²

Perimeter = 24in

Step-by-step explanation:

To find the area given the length of the 3 sides:

a= 8in

b= 6.4in + 3.6in= 10in

c= 6in

Add them together:

8in + 10in + 6in

= 24in²

To find the perimeter you do the same thing:

a= 8in

b= 10in

c= 6in

Add them together

=24in

DO NOT SQUARE THE ANSWER WHEN FINDING PERIMETER

PLEASE HELP QUICK which relation could also represent a function

Answers

Answer:

I believe the answer is B

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

srry if i told u to late

PLS HURRY I NEED HELP FAST
The list shows the number of hours Adamma was at swimming practice on each of
four days.
3.2 ,3 2/3 , 3.25 , 3 1/2
Which list shows these values in order from greatest to least?
A
3 2/3, 3 1/2, 3.25, 3.2
B
3.2 , 3.25, 3 1/2, 3 2/3
C
3.25, 3 2/3, 3 1/2, 3.2
D
3.25, 3.2, 3 2/3, 3 1/2

Answers

Answer:

Step-by-step explanation:

Rewritten as decimals, the numbers are 3.66, 3.50, 3.25, 3.20

Fill in the blank to make the two fractions equivalent.

Answers

Answer:

Step-by-step explanation:

because 7 times 5 is 35 so 5 times 5 is 25.

Answer:

Step-by-step explanation:

Look at the denominators--35 ÷ 7 is 5

So multiply the numerator on the left by 5 to get the numerator on the right:

5 × 5 = 25

solve for h : 17 - 4h = -16 + 11h

Answers

Answer:

h=2.2

Step-by-step explanation:

Are the expressions 3/4a + 8 - 1/4a - 2 and 1/2(a + 12) equivalent? Show why or why not.

Answers

Answer:Yes they are equivalent.

Step-by-step explanation:

3/4a + 8 - 1/4a - 2 1/2(a + 12)

Combine like terms Distributive property

2/4a+6 1/2a+6

2/4=1/2 (simplify)

1/2+6=1/2+6

PLZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

What is the slope of the line represented by the equation y=- } - 5x?
0 -5
or win win
O 5
Hurry please!

Answers

Answer:

The slope of the line represented by y = -5x is "-5".

Step-by-step explanation:

y=mx+b

M=slope

b=Y-intecerpt

M=5 mabey don’t know for sure

Giving all points

Solve for the constant of variation.

Answers

2.5 to 4.8 that’s the answer it think

Which function represents the relationship shown in the table?

Answers

Answer:

Step-by-step explanation:

The normal absolute value notation " | x | " does not round the value on the inside up or down. If 5.6 was the input, 5.6 would be the output.

I have not seen the notation in B before, but it is the only option available that seems logical enough to represent the pattern in the chart. The hooks on the bottom of the "|"'s appear to represent that it rounds down. If I were to answer this question, that would be my choice.

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The formula to determine the period of one swing of a simple pendulum is T=2\pi\sqrt{\frac{L}{g}},T=2π g L ​ ​ , where LL is the length of the string and gg is the acceleration due to gravity. Solve the formula to solve for LL in terms of \pi,π, TT and g.G.

Answers

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The formula to determine the period of one swing of a simple pendulum is T=2\pi\sqrt{\frac{L}{g}},T=2π g L , where LL is the length of the string and gg is the acceleration due to gravity. Solve the formula to solve for LL in terms of \pi,π, TT and g.G.