Circular motion

In designing circular rides for amusement parks, mechanical engineers must consider how small variations in certain parameters can alter the net force on a passenger. Consider a passenger of mass m riding around a horizontal circle of radius r at speed v. What is the variation dF in the net force magnitude for (a) a variation dr In the radius with v held constant. (b) a variation dv in the speed with r held constant, and (c) a variation dT in the period with r held constant?

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