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natulia [17]
3 years ago
8

The 4.5 cm long second hand on a watch rotates smoothly. What is its angular velocity? What is the speed of the tip of the hand?

Physics
1 answer:
Vlada [557]3 years ago
5 0
Angular velocity means how many radians/degrees is this hand passing by every second.
First, you realize it goes through a whole revolution (2\pi in radians) in 60 seconds.
This means for every second, it passes by:
\frac{2 \pi }{60 s} = 0.105  \frac{rad}{sec}

For the next part, you need to know this equation:
Tangential velocity=Angular velocity x radius (meters)
velocity=0.105 \frac{rad}{sec} *0.045m
velocity=0.004725  \frac{meters}{sec}
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