If the length of the second's hand in a stop clock is 3 ,cm the a… - Vidyadip

MCQ

If the length of the second's hand in a stop clock is $3 \,cm$ the angular velocity and linear velocity of the tip is

A
$0.2047\, rad/sec, 0.0314 \,m / sec $
B
$0.2547 \,rad/sec, 0.314\, m/sec $
C
$0.1472\, rad/sec , 0.06314 \,m/sec $
✓
$0.1047 \,rad/sec, 0.00314 \,m/sec $

✓

Answer

Correct option: D.

$0.1047 \,rad/sec, 0.00314 \,m/sec $

d
(d) $\omega = \frac{{2\pi }}{T} = \frac{{2\pi }}{{60}} = 0.1047\;rad/s $

and $v = \omega r = 0.1047 \times 3 \times {10^{ - 2}} = 0.00314\;m/s $

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