An object moves uniformly around a circular path of radius 23.5 cm, making one complete revolution every 1.95 s. (a) What is the translational speed of the object? (b) What is the frequency of motion in hertz? (c) What is the angular speed of the object?

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Physics

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13 June, 09:00

An object moves uniformly around a circular path of radius 23.5 cm, making one complete revolution every 1.95 s. (a) What is the translational speed of the object? (b) What is the frequency of motion in hertz? (c) What is the angular speed of the object?

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Josh Day · Answer 1

a)

The circumference of the path is:

C = 2πr

C = 2π (0.235 m)

C = 1.48 m

Velocity = displacement / time

v = 1.48 m / 1.95 s

v = 0.757 m/s

b)

1 rev / 1.95 s = 0.513 Hz

c)

1 rev / 1.95 s * (2π rad / rev) = 3.22 rad/s