A) \[360\,J\]
B) \[1440{{\pi }^{2}}J\]
C) \[4000{{\pi }^{2}}J\]
D) \[600{{\pi }^{2}}J\]
Correct Answer: B
Solution :
Angular velocity is given by \[\omega =600\text{ }rot/min\] \[=\frac{600\times 2\pi }{60}rad/s\] \[=20\pi \text{ }rad/s\] Kinetic energy of coin which is due to rotation and translation is \[K=\frac{1}{2}I{{\omega }^{2}}+\frac{1}{2}m{{v}^{2}}\] \[=\frac{1}{2}\times \frac{1}{2}m{{r}^{2}}{{\omega }^{2}}+\frac{1}{2}m{{(r\omega )}^{2}}\] \[=\frac{1}{2}\times 4.8\times {{(1)}^{2}}{{(20\pi )}^{2}}+\frac{1}{2}\times 4.8\times {{(20\pi \times 1)}^{2}}\] \[=480{{\pi }^{2}}+960{{\pi }^{2}}\] \[=1440{{\pi }^{2}}J\]
You need to login to perform this action.
You will be redirected in
3 sec
