Question

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Allen rides his bike at a constant speed around a circular track. If the radius of the track is 45.0 m and Allen's centripetal acceleration is 5.0 m/s2, what is his tangential speed?

Answer 1

a = v2/r, for an object moving with a constant speed, v, around a circle of radius, r. We will also verify that the direction of the acceleration vector is toward the center of the circle.

substitute your numbers into the formula

5.0 = v2/45.0

then cross multiply to get your final answer