A) \[850\,cm/{{s}^{2}}\]
B) \[996\,cm/{{s}^{2}}\]
C) \[720\,cm/{{s}^{2}}\]
D) \[650\,cm/{{s}^{2}}\]
Correct Answer: B
Solution :
Time period \[\text{=}\frac{\text{No}\text{.of}\,\text{revolutions}}{\text{time}}\text{=}\frac{\text{25}}{\text{14}}\text{=1}\text{.79}\,\text{sec}\] Now angular speed\[\omega =\frac{2\pi }{T}=\frac{2\times 314}{1.79}=3.51\,\text{rad/sec}\] Now magnitude of acceleration is given by \[a={{\omega }^{2}}l={{(3.51)}^{2}}\times 80\] \[=985.6\,cm/{{\sec }^{2}}\] \[\approx 996\,cm/{{\sec }^{2}}\]
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