First slide

Dynamics of rotational motion about fixed axis

Question

A wheel is rotating at 900 rpm about its axis. When power is cut-off, it comes to rest in 1 min. The angular retardation (in rad s^-2) is

Easy

A

$\frac{π}{2}$
B

$\frac{π}{4}$
C

$\frac{π}{6}$
D

$\frac{π}{8}$

Solution

Angular velocity, $ω_{0} = \frac{900 \times 2 π}{60} {rads}^{- 1} = 30 π {rads}^{- 1}$
Now, $0 = ω_{0} - α t$
$∴$ Angular retardation, $α = \frac{ω_{0}}{t} = \frac{30 π}{60} {rads}^{- 2} = \frac{π}{2} {rads}^{- 2}$

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