A technician is testing a computer-controlled, variable-speed motor. She attache
ID: 1366718 • Letter: A
Question
A technician is testing a computer-controlled, variable-speed motor. She attaches a thin disk to the motor shaft, with the shaft at the center of the disk. The disk starts from rest, and sensors attached to the motor shaft measure the angular acceleration ?z of the shaft as a function of time. The results from one test run are shown in (Figure 1) .
A) Through how many revolutions has the disk turned in the first 5.0 s?
B) Can you use the equation ?=?0 + ?0z t + 1/2 ?z t2 ?
C) What is the angular velocity, in rad/s, of the disk at t = 5.0 s.
D) What is the angular velocity, in rad/s, of the disk when it has turned through 2.00 rev.
Figure 1 of 1 . (rad/s2) 6 4 ,(s) 01 1.0 2.0 3.0 4.0 5.0 60 0 1.0 2.0 3.0 4.0 5.0 6.0Explanation / Answer
A) Angulardisplacement, = wt + ( 1/ 2) t ^ 2
= (1.2rad/s *5s )+ [ 0.5 * 6rad/s2 * 5^2 ]
= 6rad + 75
= 81 rad
No. of revolutions = 81rad/2pi
= 81rad/(2*3.14)
= 13 revolutions.
b)
=0 + 0z t + 1/2 z t2 is not used.
c)
Angular velocity= 6rad/s2*5s = 30rad/s
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