A wheel of mass 10 kg and radius 1 m rotates with a constant angular acceleratio

Question

A wheel of mass 10 kg and radius 1 m rotates with a constant angular acceleration of pi rad/s^2. During a certain time interval, its angular displacement is pi rad. What must have been its initial angular velocity if its final angular velocity is 2 pi rad/s? How long does this process take? You attempt to put a meter stick of mass 1 kg into rotational equilibrium. If you place a fulcrum at the 40 cm mark and a mass of 10 kg at the 20 cm mark, where should you place a mass of 5 kg? Give the answer in terms of the actual cm mark on the meter stick.

Explanation / Answer

4 )

here

by using the third equation of motion

v^2 - u^2 = 2 * a * s

u^2= (2 * pie)^2 - 2 * pie * pie

u = sqrt( 2 * pie^2)

u = sqrt(2) * pie rad/s

b)

then by using the first equation of motion

v = u + a * t

2*pie = pie * sqrt2 + pie * t

t = 0.58578 pie / pie

t = 0.58578 sec

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