An engineer places a small sample of a material on a horizontal disk whose surface is made of another material and then rotates the disk from rest with a constant angular acceleration of 4 rad/s2. Assuming that the coefficient of static friction between the sample and disk is 0. 2, what is the angular velocity of the disk at the time instant when the sample starts slipping on the disk?.

Answers

Answer 1

The critical value of the angular velocity obtained just before the slipping starts is the answer to this question and it is [tex]\bold{\omega = \sqrt{\frac{\mu.g}{r}}}[/tex].

Let's consider the sample to be a point object.There are 2 forces acting upon the sample when it is on the plane and rotating: the normal force from the plane and the friction force directed to the centre of the rotating axis.This friction force provides the centripetal force needed to continue the rotation on the disk keeping itself at rest on the disk relative to it.The reason for a slip is due to the lacking of this friction so that it is no longer capable of providing the required amount of centripetal force in the form of friction.The maximum friction is simply [tex]f_{max} = \mu_s.R[/tex] where [tex]R[/tex] is the normal force on the sample and [tex]\mu_s[/tex] the coefficient of static friction. By the vertical equilibrium [tex]R = mg[/tex] and that gives [tex]f_{max} = \mu_s. mg[/tex]The proper condition to continue the rotation without slipping is as follows and the critical value of angular velocity can be found from it.

                                         [tex]\begin{aligned}\\\\F &= ma\\\\f_{max} &\geq ma\\\\ \mu_s.mg &\geq m.r\omega^2\\\\\omega &\leq \sqrt{\frac{\mu_sg}{r}}\\\\\omega_{critical} &= \sqrt{\frac{\mu_sg}{r}}\end{aligned}[/tex]

The critical angular velocity depends only on these parameters and for a given system it is dependent on where it is primarily placed from the centre of rotation (this question lacks this piece of data by the way).So this is the answer to this question and with the data for the constant angular acceleration, you can calculate how long it would take from the startup or how many rotations it would take until the point of slipping.For that, you can employ the formulae  [tex]\omega = \omega_0+\alpha.\Delta t[/tex] and [tex]\omega^2 = \omega^2_0+2\alpha .\Delta \theta[/tex] respectively by putting [tex]\omega = \omega_{critical}[/tex].

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Related Questions

A vehicle comes into the shop for repairs. technician a says to check with the service writer for the details of the customer complaint. technician b says to check with the shop supervisor to get information on the complaint. who is correct? group of answer choices neither techs tech a tech b both techs

Answers

When a vehicle comes to a shop for repairs, the details of the customer complaint is checked with the service writer. Thus , the correct option is (b) i.e tech a.

Service writer in an auto repair workshop handles tough situations like customers complaints. The service writer listens to customers’ complaint about repairs, determines the kind of services required, prepares orders for service with labor, cost and time estimates, schedules service oppoitments, reviews and closes repairs and complaints orders to ensure that the orders are completed. When a vehicle for repairs comes to the shop, it is essential for technicians to check the details of the customer complaint with the service writer so that the required rapair services with appropriate technicians can be offered.

Technician b is not correct that the information of the complaint needs to checked with the shop supervisor. It is because the duty of a supervisor in an auto repair workshop is to determine, supervise, and inspect the work of service writer and  technicians.

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BOOLEAN datatype is used for an attribute that takes a single character value.

Answers

It is incorrect to say that a Boolean datatype is used for an attribute with a single character value.

What exactly is the Boolean datatype?

The Boolean data type is used in computer science to represent the two truth values of logic and Boolean algebra. It has one of two possible values (usually stated as true or false).

The Boolean Data Type can be used to represent two-state values such as true/false, yes/no, or on/off.

Boolean's default value is usually False. Boolean values are not grabbed as numbers, and the stored values are not required to be numerically equivalent.

Thus, the given statement is false.

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Fill in the missing words below:

The I in immigration is just like the I in the word ______?
The E in emigration is just like the E in ______?
Better be Correct

Answers

Answer:

1. illegal. 2. expand

Explanation:

I am assuming that you want the sound to be the same and so I have given you an example each. Not much to explain.

the -- resistance fault cause an abnormally_ current flow in the circuit and may cause the circuit protection devices, such as fuses or circuit breakers, to _ the circuit.

Answers

The low-resistance fault causes abnormally high current flow in the circuit and may cause the circuit protection devices, such as fuses or circuit breakers, to open the circuit.

What is an open circuit fault?

An open circuit fault is any error that prevents a machine from operating because a wire or other component is exposed.

An open circuit is typically brought on by a conductor breaking. If the circuit is not closed and there is a break somewhere in the loop, no current can pass. A circuit becomes open as a result o the above.

Therefore, The low-resistance fault causes abnormally high current flow in the circuit and may cause the circuit protection devices, such as fuses or circuit breakers, to open the circuit.

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2.1.2. List TWO design specifications for the- a) Structure that houses the electrical system?​

Answers

The two design specifications for the structure that houses the electrical system are Electrical system design and mini-pat electronic systems.

What are design specifications?

The design specification is a system by which the specific design and set exactly the procedure and or the product will come out. Design specifications contain environmental factors and dimensions.

The two designs are electrical system design and mini-pat electronic systems for the structure of the electrical system of a house.

Thus, the two systems are electrical system design and mini-pat electronic systems.

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What
head has revolving turrets with direct-
reading double graduations with a full 0 to 180° in
opposite directions.

Answers

Answer:

i just need points

Explanation:


The purpose of the Roadway Worker Protection program is to:

Answers

Answer: The objective of an RWP program is to create conditions in which workers may perform duties on or near the right-of-way with consistent and strong programs in place to ensure worker safety.

A picture showing the actual parts of a circuit and their connection is called_______ diagram

Answers

Answer:

a picture showing the actual parts of a circuit and their connection is call a Circuit diagram

15. The overwhelming reasons vehicles fall from lifts are because technicians don't spot
vehicles properly, miscalculate the center of gravity, or don't use wheel chocks.
A) True
B)O False

Answers

The answer is true, the overwhelming reasons vehicles fall from lifts are because technicians don't spot the vehicle properly and miscalculate the center of gravity.

What is the procedure to place the vehicle on the automotive lift?

Close all the doors, put the engine off, shift into neutral, and look up for obstructions like radio aerials if necessary.Before raising a car on a drive-on or runway lift, make sure the automated chock devices are set. Make sure there are enough permanent barriers to halt a car. Make sure the automated chocks at the drive-on end of the lift runners function properly as the lift is lifted.Use the mechanical locking device to lock the lift, or use the proper jack stands.Be alert to circumstances that can change the vehicle's center of gravity and make it tumble.Recheck to make sure that all adapters and contact pads are correctly configured and that no loads are being applied to any vulnerable vehicle components.

These are some measures can be taken to protect the vehicle from lift fall.

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A Concrete has a height of 5 meters and mass of 30,000kg, Determine the Stress, the strain and the change height.​

Answers

Answer:98000Explanation:a concrete has a height of 5m and has unit area 3m² supports a mass of 30000 kg. Determine the stress, strain and change in height ​ 98000 N/m^2 strain = 3.92 x 10^-6 change in height = 0.0196 Explanation:Height, h = 5 m Area, A = 3 m²mass, m = 30000 kg Stress is defined as the force per unit area.

Tech a states that the scrub braking system worked well in rubber tires. tech b states that the scrub braking system worked reasonably well on dry wheel surfaces made of wood or steel. who is correct?

select one:
a. tech a
b. tech b
c. both a and b
d. neither a nor b

Answers

Tech A  is correct with respect to the scrub braking system that really worked well in rubber tires. Thus, the correct option for this question is A.

What is a Scrub braking system?

A scrub braking system may be defined as a type of system that significantly utilizes leverage to force a friction block against one or more wheels and allow it to stop from movement.

This scrub braking system actually works well on rubber tires because it involves a diagonal braking system. The suspension of this geometry typically compensates for the sudden braking of the rubber tires.

Therefore, tech A  is correct with respect to the scrub braking system that really worked well in rubber tires. Thus, the correct option for this question is A.

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The US navy recently funded the development of submersible drones to investigate shipwrecks located
on the ocean floor of the Marianas Trench. In this region of the world the ocean floor is located about
7.0 miles below sea level. Calculate the pressure a submersible drone would need to withstand 7 miles
below the surface of the ocean.

Answers

The pressure a submersible drone would need to withstand 7 miles is given to be 114.49 MPA

How to solve for the pressure of the submersible drone

Wer have P = rho x H

Where Rho s is the Sp x the weight of the sea water

= 10163 . 16n/m²

We are to proceed to find the value of H

H = 7. 0 miles below sea water

= 11265.408m

P = 11265.408m x 10163 . 16n/m²

= 114,492.144

= 114.49 MPA

Hence we can say that  the pressure of the submersible drone should be equal to 114.49 MPA

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A town has two fire engines operating independently. The probability that a
specific engine is available when needed is 0.96.

a. What is the probability that neither is available when needed?

b. What is the probability that a fire engine is available when needed?

Answers

If  town has two fire engines operating independently. The probability that a specific engine is available when needed is 0.96. The probability that neither is available when needed is 0.0016  and  the probability that a fire engine is available when needed is 0.9984 .


Probability

A. Probability that neither is available

Probability that a fire engine is unavailable when needed= 1−0.96

Probability that a fire engine is unavailable when needed=0.04

Hence,

P (A’ ∩ B’) = P (A’) P(B’)

P (A’ ∩ B’) =0.04×0.04

P (A’ ∩ B’) =0.0016

                                                                                                   

b. Probability of fire engine available when needed

P(atleast one engine is available )=1−P(Engine unavailable )

Or

1 – P(A’ ∩ B’) = 1 – P (A’) P(B’)

1 – P(A’ ∩ B’)= 1− (0.04×0.04)

1 – P(A’ ∩ B’)= 1−0.0016

1 – P(A’ ∩ B’)= 0.9984

Therefore If  town has two fire engines operating independently. The probability that a specific engine is available when needed is 0.96. The probability that neither is available when needed is 0.0016  and  the probability that a fire engine is available when needed is 0.9984 .

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what is the purpose of a cold solvent

Answers

Answer:

Cold solvent cleaning is a process used to remove grease, wax and other impurities from metal and other parts. The process is also called degreasing or parts washing.

Explanation:

help protect the lower legs and feet from heat hazards like molten metal and welding sparks

Answers

Answer:

i think its called leggings thats wut my shop teacher told me

Explanation:

Leggings protect the lower legs and feet from heat hazards such as molten metal or welding sparks.

In addition to having a first aid kit, osha recommends that shop owners also have an automated external defibrillator (aed) nearby to be used in case of an emergency.

Answers

It is true that in addition to having a first aid kit, osha recommends that shop owners also have an automated external defibrillator (AED) nearby to be used in case of an emergency.

What is OSHA?

The Occupational Safety and Health Administration (OSHA) is a sizable compliance agency of the United States Department of Labor with federal visitorial powers to inspect and examine workplaces.

OSHA recommends that shop owners have an automated external defibrillator (AED) nearby in case of an emergency, in addition to a first aid kit.

Thus, the given statement is true.

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4.11 LAB: Mileage tracker for a runner Given the MileageTrackerNode class, complete main() in the MileageTrackerLinkedList class to insert nodes into a linked list (using the insertAfter() method). The first user-input value is the number of nodes in the linked list. Use the printNodeData() method to print the entire linked list. DO NOT print the dummy head node. Ex. If the input is:

Answers

Using the knowledge of computational language in C++ it is possible to write a code that user-input value is the number of nodes in the linked list

Writting the code:

#include "MileageTrackerNode.h"

#include <string>

#include <iostream>

using namespace std;

int main(int argc, char *argv[]) {

   // References for MileageTrackerNode objects

   MileageTrackerNode *headNode;

   MileageTrackerNode *currNode;

   MileageTrackerNode *lastNode;

   double miles;

   string date;

   

   // Front of nodes list

   headNode = new MileageTrackerNode();

   lastNode = headNode;

   // Read in the number of nodes

   int no_nodes;

   cin >> no_nodes;

   // For the read in number of nodes, read in data and insert into the linked list

   MileageTrackerNode *tail = headNode;

   for (int i = 0; i < no_nodes; ++i) {

       double milesInit;

       cin >> milesInit;

       cin >> date;

       MileageTrackerNode *newNode = new MileageTrackerNode(milesInit, date, nullptr);

       tail->InsertAfter(newNode);

       tail = newNode;

   }

   // Call the PrintNodeData() method to print the entire linked list

   MileageTrackerNode *cur = headNode->GetNext();

   while (cur != nullptr) {

       cur->PrintNodeData();

       cur = cur->GetNext();

   }

   // MileageTrackerNode Destructor deletes all following nodes

   delete headNode;

}

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which of the following statements best explains why we don't create micrometers with 10 times the discrimination they presently have

Answers

The statements that best explains why we don't create micrometers with 10 times the discrimination they presently have is option:

b) The diminutive size of the device would make it impractical to make measurements.

c) While gaining precision, the micrometer would have a much smaller range and be useful in very few applications.

What is a micrometer used for?

The  micrometer is known to be a tool that is used to measure solid objects' lengths, thicknesses, as well as other dimensions precisely and also linearly.

A micrometer is a tool that is known to have a calibrated screw that is frequently used for precise component measurement.

Therefore, The statements that best explains why we don't create micrometers with 10 times the discrimination they presently have is option:

b) The diminutive size of the device would make it impractical to make measurements.

c) While gaining precision, the micrometer would have a much smaller range and be useful in very few applications.

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Which of the following statements best explains why we don't create micrometers with 10 times the discrimination they presently have?

a) A micrometer with this type of precision would be much too difficult to read, therefore increasing the amount of errors

b) The diminutive size of the device would make it impractical to make measurements

c) While gaining precision, the micrometer would have a much smaller range and be useful in very few applications

d) The technology does not currently exist to increase the discrimination beyond its present level

When installing a new wiper arm on a splined post, if it is installed in the wrong position, what can happen?

Answers

Answer:

It can break the windshield or hit the side.

Explanation:

A distance was measured four times and the results are as follows: 125.9m,
125.8m, 125.9m and 125.6m. It was then revealed that the known distance is
135.9m +/- 0.3m. Determine (showing calculations) whether the results were
accurate and/or precise stating reason(s) for your answer

Answers

The accurate distance between particles is in the range of 136.2 to 135.6 m. But the average distance is 125.8 m.

What is the average distance?

The distance measured is 125.9 m, 125.8 m, 125.9 m, and 125. 6 m.

The known distance given is 135.9 +/- 0.3 m.

If we add  135.9 + 0.3 = 136.2

If we subtract 135.9 - 0.3 = 135.6

If we add all distance given = 125.9 + 125.8 + 125.9 + 125.6 / 4

                                               = 125.8

Therefore, The accurate distance between particles is in the range of 136.2 to 135.6 m. But the average distance is 125.8 m.

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Select a movement with which you are familiar and list at least five questions that you, as a movement analyst, might ask the performer of the movement to gain additional knowledge about a performance

Answers

A movement that I am familiar is  a religious movement known as Heavenly conscious movement and the things i want them to gain additional knowledge about a performance on:

The right way to live.The right way to pray.Becoming closer in our walk with God.Becoming closer in our work with God.Helping others to see the light.

What in history is a movement?

A movement is known to be one that make use of  planning as well as unpredictability. The movement is one that is given identity, leadership, as well as  coordination by one or more organizations.

Therefore, A movement that I am familiar is  a religious movement known as Heavenly conscious movement and the things i want them to gain additional knowledge about a performance on:

The right way to live.The right way to pray.Becoming closer in our walk with God.Becoming closer in our work with God.Helping others to see the light.

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____is a water supply system defect in which a loud noise is created when a quick-closing valve, such as a clothes washer valve or ball valve, is suddenly closed.

Answers

Answer:

Water Hammer

Explanation:

I come from a family of plumbers

Stress has the same dimensions as _______.

a. Temperature
b. strain
c. area
d. pressure
e. force

Answers

pressure is the correct answer

On a split hose lay, which water source does the initial attack engine use to fight the fire until the supply engine is ready to pump?

Answers

Answer:

Booster tank

Explanation:

I come from a family of people who like water supplies

What arethe two tag codes for performing ordered and un ordered lits using HTML​

Answers

Answer:

The HTML ul tag is used for the unordered list. There can be 4 types of bulleted list: To represent different ordered lists, there are 4 types of attributes in <ul> tag. This is the default style. In this style, the list items are marked with bullets.

Answer:

Ordered

[tex]{ \tt{ < ol > .... < / ol > }}[/tex]

Unordered

[tex]{ \tt{ < ul > .... < /ul > }}[/tex]

Which of the following best describes a desktop computer?
Responses

a portable personal computer with a screen and keyboard

a very large and powerful computer used for intensive computing tasks

a personal computer designed to be used on an office desk

a portable personal computer with a touchscreen

Answers

The option that is the best option to describes a desktop computer is option C:  personal computer designed to be used on an office desk.

What qualities do desktop computers have?

A desktop computer is a piece of personal technology made to sit on top of an ordinary office desk. It links to input devices like the monitor, keyboard, and mouse that users use to talk with a computer's actual hardware.

Desktop computer is seen as a computer that can fit on or under a desk and is intended to be used as a stationary tool.

Therefore, based on the above, The option that is the best option to describes a desktop computer is option C:  personal computer designed to be used on an office desk.

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A large commercial truck has a 12 volt battery system with a very large starting load, the vehicles original system only has one 12 volt battery, but due to age, the truck is slow to start. how would you maintain the necessary starting voltage but increase the available current to turn over the motor? would you need additional batteries? if so, what connection type would be required.

Answers

The necessary voltage can be obtained by recharging the batteries if they are drained or replacing them if they are aged therefore, no additional batteries would be required beyond the number of them in the original design and to increase the current capabilities they should be connected parallel.

A battery develops internal resistance with the age and runs out of capability to provide the desired output. That is when they should be recharged if they are rechargeable and nevertheless the type should be replaced aged too much. With this, the truck may take too long or never start.There is an initially designated amount of batteries in a battery pack for each vehicle. That number cannot be changed at one's wish as it could cause many issues to the performance of the vehicle. If one wishes more amperage, he could use batteries of higher capacities of the same voltage outputs.A system of batteries connected in parallel is capable of running for an extended time compared to a single one as the drawn current is provisionally provided by each battery in the system. A vehicle needs more current only during the startup. As mentioned already in compliance with the original design one can use batteries of higher capacity if he wishes to improve the startup behaviour. Otherwise, if the battery pack comes in a set of several batteries (of 12V) they should be connected parallel.

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in this part you will generate a signal consisting of a sum of sinusoids with specified amplitudes, frequencies, and phases and analyze it using matlab’s built-in spectrogram command. you should be familiar with spectrogram from ece 201.

Answers

Answer:

Explanation:

A spectrogram is a Visual representation of the spectrum of frequencies in a sound or other signal as the vary with time or some other variable, hope this helps :)

D. heat fade and walek ase technician a/technician b-style que 1. technician a says that an antilock brake system prevents wheel lockup during hard braking. technician b says that a traction control system prevents tires from losing traction during acceleration. who is correct? a. technician a b. technician b c. both technician a and technician b d. neither technician a nor technician b

Answers

Since Technician a says that an antilock brake system prevents wheel lockup during hard braking and  technician b says that a traction control system prevents tires from losing traction during acceleration, option c. both technician a and technician.

How does an antilock brake system work?

In regards to the use of an anti-lock braking system, the car's wheel speed is one that is often monitored as well as if wheel lock is seen to be found or detected, a sensor is one that often helps to sends a message to the controller that helps to releases as well as it applies to the brake up to 20 times per second, and then hinders the lock up and helps a person to be able to keep control of their vehicle.

Therefore, Since Technician a says that an antilock brake system prevents wheel lockup during hard braking and  technician b says that a traction control system prevents tires from losing traction during acceleration, option c. both technician a and technician.

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What is the correct order of steps in the scientific method

Answers

Answer:

1) Make a hypothesis, about what u think will happen if you do something

2) conduct the experiment

3) analyze and see what happens

4) do it several more times and  compare ur answers

5) make a conclusion from ur answers

6) celebrate bc u done

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