The Air Force uses a centrifuge to test g-forccs on fighter pilots. With g-suits
ID: 1444672 • Letter: T
Question
The Air Force uses a centrifuge to test g-forccs on fighter pilots. With g-suits humans can survive a maximum of about 10 g's. This corresponds to a centripetal acceleration of about 98 m/s^2. In this problem you will calculate some of the parameters associated with a centrifuge capable of producing 10 g's. The diagram below shows a view looking down on the centrifuge. The scat faces the pivot. To produce 10 g's, what must the tangential velocity of the seat be? What is the angular velocity of the centrifuge for this tangential velocity? If the motor at the pivot can produce an angular acceleration of 0.1 rad/s^2, how long does it take to reach top speed? Assume the centrifuge starts from rest. Through what angle, in radians, did the centrifuge rotate while it was speeding up? For each case below, state whether a rotating disk is speeding up or slowing down. Explain how you made your detennination. Use the right-hand rule to assist you in determining directions. omega is towards you and a is towards you. omega is towards you and omega is away from you. omega is away from you and a is towards you. omega is away from you and a is away from you. omega is to the left and omega is to the right. omega is to the east and a is to the west.Explanation / Answer
1. a. v^2/R = 10g
v = 32.832 m/s
b. w = v/r = 2.984 rad/s
c. alpha = 0.1
2.984 = 0.1t
t = 29.84 s
d. theta = 0.5*0.1*29.84^2 = 44.54 rad
2. a. same direction for w and alpha, speeding up
b. differnt direction of w and alpha, slowing down
c. slowing down
d. speeding up
e. slowing down
f. slowing down
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