Problem 34P

A grinding wheel is a uniform cylinder with a radius of 8.50 cm and a mass of 0.580 kg. Calculate (a) its moment of inertia about its center, and (b) the applied torque needed to accelerate it from rest to 1500 rpm in 5.00 s if it is known to slow down from 1500 rpm to rest in 55.0 s.

Solution:Step 1The young’s modulus is the ratio of longitudinal stress and longitudinal strain. Y = FL AeWhere, F is the force,L is the length,A is the cross sectional area,e is the elongation.