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An object of mass 50 g moves uniformly a...

An object of mass 50 g moves uniformly along a circular orbit with an angular speed of 5 rad/s. If the linear speed of the particle is 25 m/s, what is the radius of the circle? Calculate the centripetal force acting on the particle.

Text Solution

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The linear speed and angular speed are related by `v= omega r`
`:. R = v//omega = 25//5 m = 5 m` .
Centripetal force acting on the object `= (mv^2)/r = (0.05 xx 25^2)/5 = 6.25 N`.
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