A Futuristic design for a car is to have a large disk-like flywheelwithin the ca

Question

A Futuristic design for a car is to have a large disk-like flywheelwithin the car storing kinetic energy. The flywheel has mass 370 kg with a radius of0.50 m and can rotate up to 520 rev/s. Assuming all of this stored kinetic energy could betransferred to the linear velocity of the 2800 kg car, find the maximum attainable speed of the car. energy. The flywheel has mass 370 kg with a radius of0.50 m and can rotate up to 520 rev/s. Assuming all of this stored kinetic energy could betransferred to the linear velocity of the 2800 kg car, find the maximum attainable speed of the car.

Explanation / Answer

Mass of wheel m = 370 kg

Radius r= 0.5 m

Angular speed w = 520 rev / s

                           = 520 * 2(pi) rad /s

                           = 3267.25 rad/ s

Kinetic energy of the wheel K = ( 1/ 2) I w^2

Where I = moment of inertia of the wheel = ( 1/ 2) mr ^2

              = 46.25 kg m^ 2

Plug the values we get K = 246.85 * 10 ^ 6 J

This is equal to kinetic energy of the car

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