Question

The angular momentum of a body is 3.14 is and its rate of revolution is 10 cycles per second. Calculate the moment of inertia of the body about the axis of rotation.

(a) 5 kgm^2

(b) 0

(c) 31.4 kgm^2

(d) 0.5 kgm^2

This question was addressed to me in homework.

The query is from Significance of Rotational Motion in chapter System of Particles and Rotational Motion of Engineering Physics I

Answer 1

Correct choice is (d) 0.5 kgm^2

The explanation: L = 3.14 Js v = 10 rps

ω=2πv=2×3.14×10/rad

As L = Iω

I = L/ω = 3.14/(2×3.14×10)=0.5kgm^2.