Answer :
When an Olympic sprinter runs around the curve of a circular track with a radius of 36.5 m, they experience centripetal acceleration of 3.31m/s2.
Given that the runner's speed(v) = 11 m/s
Circular track radius (r) equals 36.5 meters
Centripetal acceleration (ac) is calculated as follows:
(11x11)/36.5 = 3.31 m/s2.
Centripetal acceleration is a characteristic of an object's motion along a circular path. Centripetal acceleration applies to any item travelling in a circle with an acceleration vector pointing in the direction of the circle's center. The centripetal acceleration, denoted by the symbol AC, has a magnitude equal to the square of the velocity of the body along the curve divided by the radius of the circle, denoted by the symbol r. This is also known as the formula ac = v2/r.
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