The linear speed of the tip of the seconds ha | vedclass

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(C) The seconds hand of a clock completes one full rotation in $T = 60 \, s$. The distance traveled by the tip in one rotation is the circumference of

Vedclass · Accepted Answer

$10$

Vedclass · Answer

(C) The seconds hand of a clock completes one full rotation in $T = 60 \, s$. The distance traveled by the tip in one rotation is the circumference of the circle,$2 \pi \ell$,where $\ell$ is the length of the seconds hand.Linear speed $v$ is given by $v = \frac{2 \pi \ell}{T}$.Given $v = 1.05 \, cm \, s^{-1}$ and $T = 60 \, s$,we have:$1.05 = \frac{2 	imes 3.14159 	imes \ell}{60}$.Rearranging for $\ell$:$\ell = \frac{1.05 	imes 60}{2 	imes 3.14159} \approx \frac{63}{6.283} \approx 10.027 \, cm$.Thus,the length of the seconds hand is nearly $10 \, cm$.

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

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