A solid cylinder of mass 2 k g and radius 4 c m is rotating about its axis at the rate of 3 rpm . The torque required to stop after 2 π revolutions is

Question

A solid cylinder of mass 2 k g and radius 4 c m is rotating about its axis at the rate of 3 rpm . The torque required to stop after 2 π revolutions is, 2 × 10 - 6 N m, 2 × 10 - 3 N m, 12 × 10 - 4 N m, 2 × 10 6 N m

MARKS App · Accepted Answer

From rotational kinematic equations, ω f 2 - ω i 2 = 2 α θ 0 2 - 3 2 π 60 2 = 2 α 2 π 2 π α = - 1 800 r a d s - 2 ∴ Torque required τ = I α = 2 4 × 10 - 2 2 2 × 1 800 = 16 × 10 - 4 800 = 2 × 10 - 6 N m

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