A) \[\frac{\pi }{4\omega }\]
B) \[\frac{\pi }{2\omega }\]
C) \[\frac{\pi }{\omega }\]
D) \[\frac{2\pi }{\omega }\]
Correct Answer: D
Solution :
Displacement\[x=A\cos \left( \omega t+\frac{\pi }{4} \right)\] \[v=\frac{dx}{dt}=-A\omega \sin \left( \omega t+\frac{\pi }{4} \right)\] For maximum speed, \[\sin \left( \omega t+\frac{\pi }{4} \right)=1\] Or \[\omega t+\frac{\pi }{4}=\frac{\pi }{2}\] Or \[\omega t=\frac{\pi }{2}-\frac{\pi }{4}=\frac{\pi }{4}\] \[t=\frac{\pi }{4\omega }\]You need to login to perform this action.
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