A) \[4{{\pi }^{2}}m/{{s}^{2}}\]
B) \[2{{\pi }^{2}}\,m/{{s}^{2}}\]
C) \[{{\pi }^{2}}\,m/{{s}^{2}}\]
D) \[4\,m/{{s}^{2}}\]
Correct Answer: A
Solution :
Here, radius of cycle wheel \[r=4m\] Frequency of revolution\[f=\frac{1}{2}rad/s\] The acceleration \[a=r{{\omega }^{2}}=r{{(2\pi f)}^{2}}\] \[=4\times {{\left( 2\pi \times \frac{1}{2} \right)}^{2}}\] \[=4{{\pi }^{2}}m/{{s}^{2}}\]
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