What is the pebble speed? Answer with the appropriate units

What is the pebble speed? Answer with the appropriate units

What is the pebble speed? Answer with the appropriate units:  Your roommate is working on his bicycle despite the fact that it is upside down. A pebble passes by three times every second as your friend spins the wheel with a diameter of 62.0 cm. How fast is the pebble moving? Can you tell me what its speed is?

Answer

The angular speed is given in radians if the pebble goes by 3 times per second:

3 rev/s*2π = 18.84 rad/s

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What is the pebble’s speed? Express your answer with the appropriate units

The following formula can be used to calculate tangential speed:

v = rω v = (0.62/2)18.84 rad/s v = 5.84 m/s

Acceleration can be found with:

a = v^2/r

a = 5.84^2/(0.62/2)

a = 110 m/s^2

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