A) \[\text{87}{{\pi }^{\text{2}}}\text{ m}/{{\text{s}}^{\text{2}}}\]
B) \[\text{8}0\text{ }{{\pi }^{\text{2}}}\text{ m}/{{\text{s}}^{\text{2}}}\]
C) \[\text{8}00\text{ }{{\pi }^{\text{2}}}\text{ m}/{{\text{s}}^{\text{2}}}\]
D) none of these
Correct Answer: C
Solution :
Given: \[n=1200\,\,re/\min \] \[=\frac{1200}{60}=20\,\,rev/s\] \[\omega =2\pi r=2\pi \times 20=40\pi \,\,rad/\sec \] \[\therefore \]Centripetal acceleration, \[a=r{{\omega }^{2}}\] \[=\frac{1}{2}\times {{(40\pi )}^{2}}=\mathbf{800}{{\mathbf{\pi }}^{\mathbf{2}}}\mathbf{m/}{{\mathbf{s}}^{\mathbf{2}}}\]
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