Please show all the steps. Thanks A centrifuge whose maximum rotation rate is 10

Question

Please show all the steps. Thanks

A centrifuge whose maximum rotation rate is 10,000 revolutions per minute (rpm) can be brought to rest in a time At 4.95 s Assume constant angular acceleration A) How far does a point R-813cm from the center travel during the deceleration B) What is the magnitude of the radial component of acceleration of the point just as the centrifuge begins its deceleration? C) What is the tangential component of acceleration of the point just as the centrifuge begins its deceleration?

Explanation / Answer

(A) w = 10,000 x 2pi /60 rad/s = 1047.2 rad/s

wf = w0 + alpah t

0 = 1047.2 + alpha(4.95)

alpha = - 211.6 rad/s^2

Applying wf^2 - wi^2 = 2 alphta theta

theta = 2591.8 rad

d = theta r =210.7 m ......Ans

(b) a_r = w^2 r = 89156 m/s^2

(c) at = alpha r = 17.2 m/s^2

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