Circular Motion: Centripetal Acceleration and Minimum Force

Please identify all variables used.

1) An engine flywheel initially spinning 2000 rpm has an angular acceleration of -10 rad/s2 as it slows down. How long does it take for the flywheel to turn through 100 revolutions? How long does it take to stop?

2) A 50 kg child stand at the rim of a merry go round with a radius of 2.00 m, rotating with an angular speed of 3.00 rad/s

a) What is the child's centripetal acceleration?
b) What is the minimum force between her feet and the floor of the carousel that is required to keep her feet in the circular path?
c) what minimum coefficeint of static friction is required? Is the answer reasonable? In other words, is she likely to stay on the merry go round?

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The equations of motion of angular motion are analogous to these apply to linear motion, only instead of distance we measure radians. Instead of linear velocity ...

Solution Summary

This solution provides calculations involving circular motion. The centripetal acceleration and minimum force is determined.

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A satellite of mass 150kg is launched into orbit above the surface of the Earth in a circular orbit. what is the speed of the satellite in its orbit? What is providing the centripetalforce on it? Find its value.

Please see attachment. Thank You your help is greatly needed.
1. A ball moves with a constant speed of 4 m/s around a circle of radius 0.25 m. What is the period of the motion?
2. A racecar is traveling at constant speed around a circular track. What happens to the centripetalacceleration of the car if the speed is doubled

In uniform circular motion, the acceleration is perpendicular to the velocity at every instant. Is this true when the motion is not uniform, that is, when the speed is not constant?

Hi. Can someone show me how to do the the following problem?
"A mass M of 2.71 kg is attached to the end of a string whose length is 0.640 m, and is whirled in a vertical circle in the same radius about a fixed point. Find the magnitude of the tension when the mass is at the top if its speed at the top is 5.73 m/s."
(I don

Conceptual Questions:
1. An object is thrown upward at an angle above the ground, eventually return to earth. (a) Is there any place along the trajectory where the velocity andacceleration are perpendicular? If so, where? (b) Is there any place where the velocity andacceleration are parallel? If so, where? In each case, ex

1.1 Acceleration
a. The intent of the problem is to determine the maximum acceleration of the train in which a box lying on its floor would remain stationary. Assume the coefficient of static friction between the block and the train's floor to be 0.15. See Fig.1
1.2 Static Friction
a. See Fig. 2 in the attached document wh