An object is traveling around a circle with a radius of 6 inches. If in 30 seconds a central angle of 1/6 radians is swept out, what are the linear and angular speeds of the object?

Question

Wesley Richardson

Mathematics

4 August, 09:27

An object is traveling around a circle with a radius of 6 inches. If in 30 seconds a central angle of 1/6 radians is swept out, what are the linear and angular speeds of the object?

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Answers (1)

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Faulkner · Answer 1

RdΘ/dt = v

dΘ/dt = (1/3) / 20 = 1/60 rad/sec

5 (1/60) = 5/60 cm/sec = 1/12 cm/sec

Angular Speed = dΘ/dt = 1/60 rad/sec

Linear Speed = RdΘ/dt = 1/12 cm/sec