Question

the length of second hand of a wall clock is 7cm find its angular and tangential velocity​

Answer 1

Explanation:

Minute hand take 1 hour to complete one rotation.

Time, t=1hour=3600sec

Angular displacement, θ=2π

Angular speed, ω =

$\frac{θ}{t} = \frac{2\pi}{3600} = 5.48 \times {10}^{ - 3} rad$

Tip velocity, v = rω

$= 0.07 \times \frac{2\pi}{3600} = 3.8 \times {10}^{ - 4} {ms}^{ - 1}$

Hence, angular speed 

$5.48 \times {10}^{ - 3} \: rad /s$

and tip velocity 

$= 3.8 \times {10}^{ - 4} {ms}^{ - 1}$