A) \[\frac{2\pi }{3}rad/s\]
B) \[\frac{\pi }{3}rad/s\]
C) \[\pi \,\,rad/s\]
D) \[2\pi \,\,rad/s\]
Correct Answer: B
Solution :
Angular displacement \[{{\theta }_{1}}=\frac{2\pi }{2}=\pi \,\,(first\,\,half)\] Angular displacement \[{{\theta }_{2}}=\frac{2\pi }{2}=\pi \,\,(\sec ond\,\,half)\] and total time \[\operatorname{T} =\left( 4 + 2 \right) s = 6s\] \[\therefore \,\,\,\,\,\,\,\,{{\omega }_{av}}=\frac{{{\theta }_{1}}+{{\theta }_{2}}}{T}=\frac{\pi +\pi }{6}=\frac{2\pi }{6}=\frac{\pi }{3}\,\,rad/s\]
You need to login to perform this action.
You will be redirected in
3 sec
