It is well known that runners run more slowly around a curved track than a straight one. One hypothesis to explain this is that the total force from the track on a runner’s feet— the magnitude of the vector sum of the normal force (that has average value mg to counteract gravity) and the inward-directed friction force that causes the runner’s centripetal acceleration— is greater when running around a curve than on a straight track. Runners compensate for this greater force by increasing the time their feet are in contact with the ground, which slows them down. For a sprinter running at 10 m/s around a curved track of radius 20 m, how much greater (as a percentage) is the average total force on their feet compared to when they are running in a straight line?

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Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.