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Your roommate is working on his bicycle and has the bike upside down. He spins the 60-cm-diameter wheel, and you notice that a pebble stuck in the tread goes by four times every second. What are the pebble's speed and acceleration?

speed (in m/s) =

acceleration (in m/s^2) =

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4 revolutions (2 pi rad) per second

angular velocity w = 2 xpi /4 =1.57 rad/s

speed = w.r = 1.57 x (0.30) =0.47 m/s

acc = w^2 .r = 1.57^2 x 0.30 =0.74 m/s

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