Answer to Question #121581 in Physics for salma

Question #121581

An object of mass 0.01 kg is moving in a circular path of radius 150 cm. if it takes 3 sec to make one complete revolution. calculate the magnitude and the direction of the centripetal force.


1
Expert's answer
2020-06-12T11:16:11-0400

The centripetal force will be


F=mv2R=m(2πR/T)2R=4mπ2RT, F=40.01π21.53=0.20 N.F=m\frac{v^2}{R}=m\frac{(2\pi R/T)^2}{R}=\frac{4m\pi^2R}{T},\\\space\\ F=\frac{4\cdot0.01\pi^2\cdot1.5}{3}=0.20\text{ N}.

The force is directed into the center of the circle perpendicularly to the object's velocity.


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