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Some European trucks run on energy stored in a rotating flywheel, with an electr

ID: 2212669 • Letter: S

Question

Some European trucks run on energy stored in a rotating flywheel, with an electric motor getting the flywheel up to its top speed of 490 ? rad/s. One such flywheel is a solid, uniform cylinder with a mass of 300 kg and a radius of 1.11 m. (a) What is the kinetic energy of the flywheel after charging? (b) If the truck uses an average power of 6.0 kW, for how many minutes can it operate between chargings? I found the first part and got 218983239.26 J, just having trouble with the second part. please help.

Explanation / Answer

moment of inertia = m*r^2/2 = 181.5 KE = 0.5*Iw^2 = 215049550.5 J this much amount of energy is to be supplied by power source => 6000*t = 215049550.5 => t = 9.95 hrs = 35841.59 s

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