Two people are standing on a horizontal platform that is rotating about its cent

Question

Two people are standing on a horizontal platform that is rotating about its center. The platform is rotating at a constant rate of 1 revolution in 6.5 seconds. Person K is standing 2.0 m from the center of the platform and person Z is standing 0.8 m from the center of the platform.

What is the difference between person K's linear (tangential) speed (in m/s) and person Z's speed? Give the answer in m/s to four significant figures.  Please show detailed work so that the process is easy to follow.  

Explanation / Answer

w = 6.28/6.5 = 0.96615 rad/s

VK = rK*w = 2*0.96615 = 1.9323 m/s

VZ = rZ*w = 0.8*0.96615 = 0.7729 m/s

VK - VZ = 1.1594 m/s

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