Question

A point on the rim of a 0.25 m radius rotating wheel has a centripetal acceleration...

A point on the rim of a 0.25 m radius rotating wheel has a centripetal acceleration of 4.0m/s2. What is the angular speed of the wheel?

4.0 rad/s is the correct answer.
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SOLUTION:
A point on the rim of a with radius rotating of wheel. r = 0.25 m
wheel has a centripetal acceleration, ac = 4.0 m/s2
It is known by the formula for centri-petla acceleration,
                           ac= rω2
Angualr speed,   ω= √(a/r)
                              =√(4.0 m/s2/ 0.25 m)
                              = 4 rad/s
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