Question

Calculate the angular velocity and linear velocity at the tip of the second hand of a timepiece.The second hand is 4 cm long.

Answer 1

Speed$=$distance/time

circumference$=2\pi r$

$r=4cm$

$\therefore$ time$=60$sec. to complete the circumference of watch

$\because$ speed$=\frac{2\times \pi \times 4}{60}=0.4cm/s$

$\because w=\frac{v}{r}+\frac{0.4}{4}=0.1rad/sec$