A futuristic design for a car is to have a large disk -like flywheel within the

Question

A futuristic design for a car is to have a large disk -like flywheel within the car storing kinetic energy. The flywheel has mass 370 kg with a radius of 0.50 m and can rotate up to 200 rev/s. Assuming all of this stored kinetic energy could be transferred to the linear velocity of the 1500-kg car, find the maximum attainable speed of the car. A futuristic design for a car is to have a large disk -like flywheel within the car storing kinetic energy. The flywheel has mass 370 kg with a radius of 0.50 m and can rotate up to 200 rev/s. Assuming all of this stored kinetic energy could be transferred to the linear velocity of the 1500-kg car, find the maximum attainable speed of the car.

Explanation / Answer

inertia of the flywheel = m.r^2

angular speed = w = 2pi.N = 2 x pi x 200 = 400pi rad/s

then using enrgy balancew :

1/2.I.w^2 = 1/2.m.v^2

so 1/2 x m x r^2 x w^2 1/2 x m x v^2

so 1/2 x 370 x 0.5^2 x (400pi)^2 = 1/2 x 1500 x V^2

so max velocity = V = 312.05 m/s

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.