Linear speed of tip of seconds hand of a wall clock is 1.05,cm,s^{-1}. length of seconds hand is nea

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3-2.Motion in Plane

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The linear speed of the tip of seconds hand of a wall clock is $1.05\,cm\,s^{-1}.$ The length of the seconds hand is nearly ........ $cm$

A$1$

B$5$

C$10$

D$60$

Solution

In $60$ sec the tip of seconds hand travels a distance $2 \pi \ell$
i.e., $\quad \frac{2 \pi \ell}{60}=1.05$
or $\quad \ell=\frac{60 \times 1.05 \times 7}{2 \times 22}=\frac{63 \times 7}{44}$
$=\frac{441}{44} \cong 10 \mathrm{cm}$

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Solution

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