question archive Your roommate is working on his bicycle and has the bikeupside down

Your roommate is working on his bicycle and has the bikeupside down

Subject:PhysicsPrice:2.85 Bought3

Your roommate is working on his bicycle and has the bikeupside down. He spins the 62.0 cm-diameter wheel, and you notice that a pebble stuck in thetread goes by three times every second.

What is the pebble's speed? and what is thepebbles acceleration? are the two questions I must answer. I haveno idea how to set up this problem.

pur-new-sol

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If the pebble goes by 3 times per second, then the angularspeed is given in radian by:

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3 rev/s*2π = 18.84 rad/s

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Tangential speed is found with:

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v = rω

v = (0.62/2)18.84 rad/s

v = 5.84 m/s

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Acceleration is found with:

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a = v^2/r

a = 5.84^2/(0.62/2)

a = 110 m/s^2

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