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
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