A wheel whose moment of inertia is 12 Kg - m 2 has an initial angular velocity of 40 rad / sec. A constant torque of 20 N - m acts on the wheel. The time in which the wheel is accelerated to 100 rad / sec is :-

Question

A wheel whose moment of inertia is 12 Kg - m 2 has an initial angular velocity of 40 rad / sec. A constant torque of 20 N - m acts on the wheel. The time in which the wheel is accelerated to 100 rad / sec is :- (A) 72 seconds (B) 16 seconds (C) 8 seconds (D) 36 seconds

Tardigrade Admin · Accepted Answer

τ= I α α=(20/12)=(5/3) rad / s 2 t =( w f - w i /α)

Q. A wheel whose moment of inertia is $12 K g - m^{2}$ has an initial angular velocity of $40 r a d / sec$ . A constant torque of $20 N - m$ acts on the wheel. The time in which the wheel is accelerated to $100 r a d / sec$ is :-

72 seconds

16 seconds

8 seconds

36 seconds

$τ = I α$
$α = \frac{20}{12} = \frac{5}{3} r a d / s^{2}$
$t = \frac{w _{f} - w _{i}}{α}$

Q. A wheel whose moment of inertia is 12Kg−m2 has an initial angular velocity of 40rad/sec. A constant torque of 20N−m acts on the wheel. The time in which the wheel is accelerated to 100rad/sec is :-