Question

The 8.00-cm long second hand on a watch rotates smoothly.

What is its angular velocity?
What is the speed of the tip of the hand?

Answer 1

The watch hand covers an angular displacement of 2π radians in 60 seconds.

ω = 2π/60
ω = 0.1 rad/s

v = ωr
v = 0.1 x 0.08
v = 8 x 10⁻³ m/s