Question

A particle moves on the circumference of a circle of radius 'r’ with a constant speed. The centripetal acceleration of the particle
a)² when the radius of the circle is 5 cm and its period of revolution is 0.2 π seconds is if the particle moves with a speed equal to that which it would have acquired by falling freely, when dropped, through half the radius of the circle is
b)when the radius of the circle is 5 cm and its period of revolution is 0.2 π seconds is if the particle moves with a speed equal to that which it would have acquired by falling freely, when dropped, through half the radius of the circle is

Answer 1

Answer:

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Answer 2

Explanation:

ANSWER

To find speed acquired by free fall

Here s=

2

r

,a=g

⟹

2

r

=

2

1

gt

2

⟹t=

g

r

Therefore

v=gt=

rg

The following speed is same in circular motion of radius r

Centripetal acceleration ,a

c

=

r

v

2

=

r

rg

=g

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