First slide

The two types of acceleration

Question

A particle is moving in a circular path of constant radius with constant speed of 4 m/s and constant angular velocity of 5 rad/sec. Then magnitude of its centripetal acceleration is

Easy

A

10 $m / s^{2}$
B

20 $m / s^{2}$
C

5 $m / s^{2}$
D

15 $m / s^{2}$

Solution

Centripetal acceleration $a_{η} = ω^{2} r = ω \times (ω r) = ω V$
$= 5 \times 4 m / s^{2} = 20 m / s^{2}$

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