A Wheel of moment of inertia 2 k g m 2 is rotating about an axis passing through centre and perpendicular to its plane at a speed 60 rad s - 1 . Due to friction, it comes to rest in 5 minutes. The angular momentum of the wheel three minutes before it stops rotating is

Question

A Wheel of moment of inertia 2 k g m 2 is rotating about an axis passing through centre and perpendicular to its plane at a speed 60 rad s - 1 . Due to friction, it comes to rest in 5 minutes. The angular momentum of the wheel three minutes before it stops rotating is, 24 k g m 2 / s, 48 k g m 2 / s, 72 k g m 2 / s, 96 k g m 2 / s

MARKS App · Accepted Answer

I = 2 k g m 2 , ω o = 60 rad s - 1 t = 5 min = 5 × 60 = 300 s ∝ = 0 - 60 300 = - 60 300 = - 1 5 rad s - 2 for 2min (from starting) (2 min = 120 sec) ω = ω 0 + ∝ t = 60 - 1 5 × 120 = 60 - 24 ω = 36 rad s - 1 a n d L = I ω = 2 × 36 = 72 k g m 2 s - 1

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