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?