1.

To generate angular acceleration of 4 rad/s2 in a rotating body a torque of 2.0 × 10-4 Nm is applied. What is the moment of inertia of the body?

Answer»

Given; α = 4 rad/s2; T = 2.0 × 10-4 Nm; I = 1, The relation between τ, I and α is,
τ = Iα
∴ \(I=\frac{\tau}{\alpha}=\frac{2.0 \times 10^{-4}}{4}\)
\(=\frac{1}{4} \times 10^{-4}=0.5 \times 10^{-4}\)

or I = 5.0 × 10-5 kgm2


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