First slide

Angular velocity, Angular acceleration

Question

A wheel rotates at 50 rpm about its axis. The angular retardation that can stop the wheel in one
minute ·is

Moderate

A

$\frac{π}{36} {rads}^{- 2}$
B

$\frac{π}{18} {rads}^{- 2}$
C

$\frac{π}{72} {rads}^{- 2}$
D

$\frac{π}{9} {rads}^{- 2}$

Solution

The initial angular velocity,
$ω_{0} = 50 rpm = \frac{5 π}{3} {rads}^{- 1}$
using $ω ∣ = ω_{0} + α t$
$∵ α = \frac{ω - ω_{0}}{t} = \frac{0 - \frac{5 π}{3}}{60} {rads}^{- 2} = - \frac{π}{36} {rads}^{- 2}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App