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Physics Question on Motion in a plane

A wheel is rotating at 900 rpm900 \,rpm about its axis. When the power is cut off it comes to rest in 11 min. The angular retardation in rad/s−2rad/s^{-2} is

A

π2\frac{\pi}{2}

B

π4\frac{\pi}{4}

C

π6\frac{\pi}{6}

D

π8\frac{\pi}{8}

Answer

π2\frac{\pi}{2}

Explanation

Solution

Use ω=ω0+αt\omega= \omega_0 + \alpha t Here , ω0=900 rpm=(2π×900)60rad/s\omega_0= 900 \,rpm = \frac{(2\pi \times 900)}{60}rad/s ω=0\omega =0 and t=60t = 60 0=2π×90060+α×600= \frac{2\pi \times 900}{60} + \alpha \times 60 α=2π×90060×60\alpha = \frac{2\pi \times 900}{60 \times 60} = π2\frac{\pi}{2}