Question

The length of hour of a wrist watch is 1.5cm Find the magnitude of angular velocity and linear velocity ? ​

Answer 1

$\bold {\huge {Your ~answer :-}}$

W = 1.454 × 10¯⁴ rad/s

V = 2.18 × 10^¯6 m/s

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EXPLAINATION ➣

Length of hour hand of a wrist watch is 1.5cm.

we know, $\green{\texttt{angular velocity}}$ω = 2π/t

here t is time taken to complete a circle.

$\green{\texttt{angular velocity of wrist watch is}}$

$= > w = \frac{2\pi}{12 \times 60 \times 60} rad. {sec}^{ - 1} \\ = > w = \frac{\pi}{12 \times 1800}$

=> w = 1.454 × 10¯⁴

We also know that v = ωr

where v is the linear velocity, ω is the angular velocity and r is the radius of the hour hand.

Putting

$= > v = \frac{\pi}{12 \times 1800} \times 1.5 \\ \\ on \: soving \\ = > v = 2.18 \times {10 }^{ - 6} m. {sec}^{ - 1}$

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