A ball on the end of a string is moving in circular motion as a conical pendulum

Question

A ball on the end of a string is moving in circular motion as a conical pendulum as in the figure. The length L of the string is 1.70 m, the angle ? is 37.0 degrees and the ball completes one revolution every 2.65 seconds.

(a) What is the speed (m/s) of the ball?

(b) What is the acceleration (m/s^2) of the ball?

A ball on the end of a string is moving in circular motion as a conical pendulum as in the figure. The length L of the string is 1.70 m, the angle ? is 37.0 degrees and the ball completes one revolution every 2.65 seconds. (a) What is the speed (m/s) of the ball? (b) What is the acceleration (m/s^2) of the ball?

Explanation / Answer

a) sin37 = 3/5 = R/L =R/1.7
R=1.02 m
V=R =(1.02*2)/(2.65) =2.41843 m/s

b) acceleration =v^2.R = 5.73414 m/s^2

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