Question

What is the angular speed of the minute hand of the clock? If the minute hand is 7cm what is the linear speed at its tip

Answer 1

Angular speed = 2 π / T [where T = Time taken by minute hand to take one rotation]

ω = 2 π / T
= 2 π / (60 min × 60 s/min)
= 2 π / 3600 rad/s
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Linear speed at its tip
v = r ω
= 7 cm × 2 π / 3600 rad/s
= (22 / 3600) cm/s
= 0.0122 cm/s
= 122 μm/s