If an object moves in uniform circular motion in a circle of radius R = 1.0 meter, and the object takes 4.0 seconds to complete ten revolutions, calculate the magnitude of the velocity around the circle. (Note: Remember, 10 revolutions is a counting number and not a measurement.)

Question

Physics

Floyd

23 December, 00:52

If an object moves in uniform circular motion in a circle of radius R = 1.0 meter, and the object takes 4.0 seconds to complete ten revolutions, calculate the magnitude of the velocity around the circle. (Note: Remember, 10 revolutions is a counting number and not a measurement.)

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Reeve · Answer 1

Radius = 1.0 meter

Diameter = 2.0 meters

Circumference = 2 π meters

10 revolutions = 20 π meters

Speed = (10 revs) / (4 sec)

= (20 π meters) / (4 seconds)

= 5 π m/s

= 15.708 m/s (rounded)