A 0.74-m-diameter solid sphere can be rotated about an axis through its center by a torque of 10.8 m∗N which accelerates it uniformly from rest through a total of 150 revolutions in 16.0 s . What is the mass of the sphere? Express your answer to two significant figures and include the appropriate units.
Here,
let the mass of the sphere is m
let the angular acceleration is a
0.50 * a * t^2 = angle
0.50 * a * 16^2 = 150 * 2pi
a = 7.36 rad/s^2
Now, for the sphere
Using second law of motion
torque = I * a
10.8 = 2/5 * m * (0.74/2)^2 * 7.36
solving for m
m = 26.8 Kg
the mass of the sphere is 26.8 Kg
A 0.74-m-diameter solid sphere can be rotated about an axis through its center by a torque...
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