Grinding Wheels
An electric motor rotating a workshop grinding wheel at a rate of 110 rev/min is switched off. Assume constan?
An electric motor rotating a workshop grinding wheel at a rate of 110 rev/min is switched off. Assume constant negative angular acceleration of magnitude 1.90 rad/s^2.
(a) How long does it take for the grinding wheel to stop?
_____ s
(b) Through how many radians has the wheel turned during the interval found in (a)?
______ rad
For Constant Acceleration (or deceleration, in this case):
(a) Vf = Vi + a * t
t = time to stop
Final velocity (Vf) = 0
a = – 1.90 rad/sec^2
Initial velocity (Vi) = 110 rev/min * 2π rad/rev / 60 sec/min
= 110 rev/min * 6.28 rad/rev / 60 sec/min
= 11.5 rad/sec
Vf = Vi + a * t
0 = 11.5 rad/sec – 1.9 rad/sec^2 * t
t = -11.5 / -1.9 = 6.05 sec
(b) d = 1/2 (Vf+Vi) * t
Radians turned = d
Initial velocity (Vi) = 11.5 rad/sec
Final velocity (Vf) = 0
t = 6.05 sec
d = 1/2 (Vf+Vi) * t
d = 1/2 (0+11.5 rad/sec) * 6.05 sec
= 34.79 rad
A good way to thank someone for answering your question is to pick a best answer.
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The Grinding Wheels