Physics Question: A wheel has a radius of .5 m and a moment of inertia I...

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Physics

Physics Question:
A wheel has a radius of .5 m and a moment of inertia I = 3kgm^2. It is rotating at 20 rev/s about an ais through its centerwhen a stick, acting as a brake, is applied to the outer edge. Itis brought to rest in 30 seconds
a.) Find the angular acceleration of the wheel
b.) How many revolutions does it make before coming to rest?
c.) How much kinetic energy does it lose in coming to rest?
d.) How much force did the stick exert on the wheel?
e.) Find the linear distance covered by a speck of dust, locatedhalfway between the center of the wheel and the outer edge, duringthe time the wheel was coming to rest

Answer & Explanation Solved by verified expert

3.7 Ratings (511 Votes)

This problem uses rotational kinematics as the wheel slows to astopaStep 1 To find the angular acceleration of thewheel use the equation where is the finalangular speed is the intialangular speed is the angularacceleration and t is the time The intial angular speed is givento be Convert this into radians per second by multiplying by theconversion factor Step 2 Plug in and into to solve for the angular accelerationThe angular acceleration is 419 radians See Answer

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