The length of second's hand in watch is $1 \,cm.$ The change in velocity of its tip in $15$ seconds is
The length of second's hand in watch is $1 \,cm.$ The change in velocity of its tip in $15$ seconds is
Zero
$\frac{\pi }{{30\sqrt 2 }}\,\,cm/\sec $
$\frac{\pi }{{30}}\,\,cm/\sec $
$\frac{{\pi \sqrt 2 }}{{30}}\,\,cm/\sec $
The length of second's hand in watch is $1 \,cm.$ The change in velocity of its tip in $15$ seconds is
$\Delta v = 2v\sin \left( {\frac{{90^\circ }}{2}} \right) = 2v\sin 45^\circ $
$ = 2v \times \frac{1}{{\sqrt 2 }} = \sqrt 2 v$
$ = \sqrt 2 \times r\omega = \sqrt 2 \times 1 \times \frac{{2\pi }}{{60}} = \frac{{\sqrt 2 \pi }}{{`30}}\;cm/s$