A) \[0.2047\text{ }rad/s,\text{ }0.0314\text{ }m{{s}^{-1}}\]
B) \[0.2547\text{ }rad/s,\text{ }0.314\text{ }m{{s}^{-1}}\]
C) \[0.1472\text{ }rad/s,\text{ }0.06314\text{ }m{{s}^{-1}}\]
D) \[0.1047\text{ }rad/s,\text{ }0.00314\text{ }m{{s}^{-1}}\]
E) \[0.347\text{ }rad/s,\text{ }0.314\text{ }m{{s}^{-1}}\]
Correct Answer: D
Solution :
Angular velocity of seconds hand \[=\frac{2\pi }{60}\] \[=\frac{\pi }{30}\] \[=\frac{3.14}{30}\] \[=0.1047\text{ }rad/s\] Linear velocity, \[v=r\omega \] \[=3\times {{10}^{-2}}\times 0.1047\] \[=0.00314\,m/s\]
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