Please help. I tried reading through others that have answered this but all seem

Question

Please help. I tried reading through others that have answered this but all seemed to have certain assumptions that I didn't know. Please assume I know nothing. lol.

Mary is an avid game show fan and one of the contestants on a popular game show. She spins the wheel and after 1.5 revolutions the wheel comes to rest on a space that has a $1500.00 prize. If the initial angular speed of the wheel is 3.50 rad/s, find the angle through which the wheel has turned when the angular speed is 1.90 rad/s.
Answer in rev (and show how to get to rev).

Explanation / Answer

apply the kinamtic equation in rotational motion as

wf^2 - Wi^2 = 2 a theta

from first condn

angular accleration a = 3.5^2/(2*1.5*2pi)
a = 0.649 rad/s^2

now for 2nd condition use wf^2 = wi^2 + 2a theta

theta = 3.5^2 - 1.9^2/(2* 0.649)

theta = 6.65 rad

1 rev = 2pi radians

6.65 re v= 6.64/2pi

= 1.05 radians

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