Question

What is the angular speed of the minute hand of a clock? If the minute hand is 5 sec long. What is the linear speed of its tip?

Answer 1

For minute hand $T=60min=60\times 60s$.

$w_m=\frac{2\pi }{T_m}=\frac{2\times 3.14}{60\times 60}=1.746\times {10}^{-3}rad/sec$

The length of minute hand serves as radius of the circle clock

circumcenter of Distance covered $=2\pi r$

$=2\times 3.14\times \frac{5}{100}$

$=0.314$

$T=60min=3600sec$

Speed $=$ distance /time

$=0.314/3600=8.72\times {10}^{-5}m/sec$