On the application of a constant torque, a wheel is turned from rest to 400 rad in 10 s . If same torque…

On the application of a constant torque, a wheel is turned from rest to 400 rad in 10 s. If same torque continues to act, the angular velocity of the wheel after 20 s from the start is

  1. 160 rad s-1
  2. 150 rad s-1
  3. 120 rad s-1
  4. 130 rad s-1

Solution

By using the following equation,
θ=ω0t+12αt2

α=8 rad s-2

Alsoω=ω0+αt

Here ω0=0α=8 rad s-2 and t=20 s

ω=0+8×20=160rad s-1

Asked in: JEE Mains - Rotational Motion - Test 3

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