Question

A wheel rotating at the same angular speed undergoes constant angular retardation. After the revolution, angular velocity reduces to half its initial value. It will make ______ revolution before stopping.

Options

• 1.00

• 2.00

• 3.00

• 4.00

Answer 1

A wheel rotating at the same angular speed undergoes constant angular retardation. After the revolution, angular velocity reduces to half its initial value. It will make 3.00 revolutions before stopping.

Explanation:

`(omega_0^2 - (omega_{0"/"2})^2)/(omega_0^2) = 9/theta_2`

⇒ `3/4 = 9/theta_2`

⇒ θ₂ = 12

∴ Required No. of revolution = 12 - 9 = 3