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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 object0.150 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? upwarddownward    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?
A small object with mass 0.200 kg moves with constant speed in a vertical circle of radius 0.500 m. It takes the object0.150 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? upwarddownward    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?
(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? upwarddownward    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?
upwarddownward    The acceleration is zero and has no direction. Additional Materials

Explanation / Answer

(a) time period = 0.150 s

w = 2pi/T = 2*3.14/0.150 = 41.867 rad/s

V = rw = 0.50 * 41.467 = 20.93 m/s

(b) frequency = 1/T = 1/0.150 = 6.67 per s

(c) Direction of acceleration at lowest point : Upwards

(d) Magnitude of acceleration

= r*w^2

= 0.50 * 41.867^2

= 876.42 rad/s^2

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