a 1,698 lb car is traveling at 77 ft/sec (the weight given includes the body and 4 wheels). each of its four 39 lb wheels have a radius of gyration of 9.6 in. the distance from the wheel's center of rotation to the road is 11.5 in. determine what percentage



Answer :

Percentage of the vehicle's kinetic energy is stored in the wheels is 9.64%

Kinetic energy is the energy possessed by the object due to its motion. [ It is defined as the work required to accelerate a body of specified mass from rest to a specified velocity. After the body acquires this energy during acceleration, it retains this kinetic energy as long as the velocity does not change. The same work is done when the body slows down from its current speed to rest. Formally, kinetic energy is any term in the Lagrange of a system that includes the time derivative.

 In relativistic mechanics, this is a good approximation only if v is much smaller than the speed of light. The standard unit for kinetic energy is the joule, while the British unit for kinetic energy is the foot-pound.

I = rg2*m

rotational KE of wheels  = 0.5Iω2= 0.5(rg2*m)*(v/r)2

4KE = 2(rg2*m)*(v/r)2 = 2(9.92*34)(792/11.12) = 337588.41

total kinetic of wheel = 4(0.5mv2) + Rotational KE = 761976.41

KE of car = 0.5mv^2 + Rotational KE wheel = 7904800.91

% =(Total KE of wheel / Total KE of car)*100 = 9.64%

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