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Question
A ball is connected to a rope and swung around in uniform circular motion. The tension in the rope is measured at 10 N and the radius of the circle is 1 m. How much work is done in one revolution around the circle?
A ball is connected to a rope and swung around in uniform circular motion. The tension in the rope is measured at 10 N and the radius of the circle is 1 m. How much work is done in one revolution around the circle?
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Solution
The correct option is A 0 (No Work)
From our study of uniform circular motion that centripetal force is always directed radially, or toward the center of the circle. Also, of course, the displacement at any given time is always tangential, or directed tangent to the circle,Clearly the force and the displacement will be perpendicular at all times. Thus the cosine of the angle between them is 0. Since W = Fx cos θ, no work is done on the ball.
From our study of uniform circular motion that centripetal force is always directed radially, or toward the center of the circle. Also, of course, the displacement at any given time is always tangential, or directed tangent to the circle,Clearly the force and the displacement will be perpendicular at all times. Thus the cosine of the angle between them is 0. Since W = Fx cos θ, no work is done on the ball.
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