First slide

The two types of acceleration

Question

The angular velocity of a particle moving in a circle of radius 50 cm is increased in 5 min from 100 revolutions per minute to 400 revolutions per minute. Find the tangential acceleration of the particle.

Difficult

A

60 ms^-2
B

$π / 30 {ms}^{- 2}$
C

$π / 15 {ms}^{- 2}$
D

$\frac{π}{60} m s^{- 2}$

Solution

$α = (ω_{2} - ω_{1}) / t = (400 - 100) / 5 = 60 rev \min^{- 2} = \frac{60 \times 2 π}{(60)^{2}} = \frac{2 π}{60} {rads}^{- 2} a_{t} = αr = \frac{2 π}{60} \times \frac{50}{100} = \frac{π}{60} {ms}^{- 2}$

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