A bicycle wheel was observed to rotate at 44 rotmin at t 0, Ask an Expert

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A bicycle wheel was observed to rotate at 44 rot/min at t = 0 s, and 229 rot/min at t = 7.0 s. Assume that the bicycle is moving on a horizontal flat road and that the wheels have a 0.33 m radius.

a) what is in rad/s the angualr velocity of the bicycle wheel at t= 7.0s?

b) what is in rad/s^2 the angular acceleration of the bicycle wheel during those 7.0s?

c) what angle in rad does the wheel rotate through during those 7.0s?

d) How far in m did the bicycle move during those 7.0s?
what if a small pebble of mass 1.8g gets stuck to the tire of the bike. e) what is in N, the magnitude of the centripetal force acting on the pebble at t=7.0s?

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