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

November 16, 2021 by moyways Leave a Comment

In spite of its upside down position, your roommate is working on his bicycle. As he spins the 62.0 cm-diameter wheel, you notice a pebble goes by three times every second. what is the pebble’s speed

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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

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