Question

please explain ur answer.

rotating flywheel. The car a car that makes use of energy stored in a we were to design 8. Suppose is "charged" by using flywheel is a solid homogeneous cylinder with energy of the flywheel after it's been "charged" up? (b) If the car needs to operate with an average power of 8.13 kW, for how many minutes can it operate between chargings? an electric motor to get the flywheel up to its top speed of 624 rad/s. (a) If the a mass of 512 kg and a radius of 97.6 cm, what is the kinetic af 1 02 ha retates about its axis of symmetrv. Forces are applied as shown

Answer 1

Mass of the flywheel = M = 512 kg

Radius of the flywheel = R = 97.6 cm = 0.976 m

Moment of inertia of the cylindrical flywheel = I

I = MR²/2

I = (512)(0.976)²/2

I = 243.86 kg.m²

Speed of the flywheel when it is charged = $\omega$ = 624 rad/s

Kinetic energy of the flywheel when it is charged up = E

E = I$\omega$²/2

E = (243.86)(624)²/2

E = 4.747 x 10⁷ J

Average power needed by the car to operate = P = 8.13 kW = 8130 W

Time the car can operate between chargings = T

E = PT

4.747x10⁷ = (8130)T

T = 5838.86 sec

T = 97.32 minutes

a) Kinetic energy of the flywheel after it is charged up = 4.747 x 10⁷ J

b) Time the car can operate between chargings = 97.32 min