A small object with mass 0.200 kg moves with constant speed in a vertical circle

Question

A small object with mass 0.200 kg moves with constant speed in a vertical circle of radius 0.500 m. It takes the object 0.250 s to complete one revolution.

(a) What is the translational speed of the object?

(b) What is the frequency?

(c) As the object passes through the lowest point in its motion, what is the direction of the acceleration of the object?

downward

upward   

The acceleration is zero and has no direction.

(d) As the object passes through the lowest point of its motion, what is the magnitude of the acceleration of the object?

Explanation / Answer

angular frequency w = 2*pi/T = 2*3.142/0.25 = 25.136 rad/s

A) translational speed is v = R*w = 0.5*25.136 = 12.568 m/s

B) frequency f = 1/T = 1/0.25 = 4 Hz

C) upward

D) a = v^2/R = 12.568*12.568/0.5 = 315.9 = 316 m/s^2

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