question archive An electric motor rotating a grinding wheel at 100 rev/min is switched off
An electric motor rotating a grinding wheel at 100 rev/min is switched off
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An electric motor rotating a grinding wheel at 100 rev/min is switched off. The wheel then moves with a constant negative angular acceleration of magnitude 2.00 rad/s2. (a) During what time interval does the wheel come to rest? (b) Through how many radians does it turn while it is slowing down?
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Answer:
a) Angular velocity = 2pi*N/60
= 2pi*100 / 60 = 10.47 rad/s
= -2 rad/s2
w = wo + t
0 = 10.47 - 2t
t = 5.24 s
b) w^2 = wo^2 +2
0 = 10.47^2 + 2*-2*
=27.4 rad
