A particle moves in a circle with radius 10 cm and with a uniform speed 1. 3 m/s. What is the centripetal acceleration of this particle?.



Answer :

The centripetal acceleration of the particle is found to be 16.9m/s².

When a body moves in a circular motion it poses some centripetal acceleration.

This centripetal acceleration is given by

A = v²/r

Where A is the centripetal acceleration,

v is the uniform speed and,

r is the radius of the circle in which the particle is moving.

The uniform speed is given to be 1.3m/s. and radius of the circle is 10 cm.

Converting centimetre into metre,

The radius of the circle is 0.1m.

Now, putting all the values,

a = 1.3 × 1.3/0.1

a = 16.9 m/s².

So, the centripetal acceleration of the particle is 16.9m/s².

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