a.)A rotating flywheel has been proposed as a means of temporarily storing mecha

Question

a.)A rotating flywheel has been proposed as a means of temporarily storing mechanical energy in an automobile, providing an energy source for the car. The energy that can be stored in this way is limited by the size and weight of the flywheel and by the maximum angular velocity it can attain without flying apart. Suppose a solid cylindrical flywheel of radius 85.0 cm and mass 70.0 kg rotates at a maximum angular velocity of 275 rad/s. Find the maximum rotational energy of the flywheel.


b.)How many liters of gasoline would provide the same mechanical energy given that each liter provides 8.50 x 10^6 J of mechanical energy?

Explanation / Answer

E=0.5I2

I is the moment of inertia of the solid cylinder is 0.5MR2=0.5*70kg*(0.85m)2=25.2875

E=0.5*25.2875*(2752)=956183.5938joules

for the amount of gallons you just need to divide the previous answer by 8.50 x 10^6 J

gallons=956183.5938/8.50 x 10^6=0.11gal

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