Question

Austin takes 1 minute and 45 seconds to run three-quarters of a circular track. His rate of motion is /

radians per second.

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Answer 1

Length of circular track is:

L = 2*r*pi

He run 3/4 of it so length is:
L' = 3*2/4*r*pi = 3/2*r*pi

To calculate speed of his movement we use formula:
v = s/t where s = L' and t = 1 minute 45 seconds = 105 seconds

v = L'/t = 3*r*pi/2*105

v = r* pi/70

If we take that r = 1

answer

`\pi /70`