The flywheel of a gasoline engine is required to give up 500 J of kinetic energy while its angular velocity decreases from 650 rev/min to 520 rev/min. What moment of inertia is required?

Solution 43E Step 1 of 4: In the given problem, we need to calculate the moment of inertia(I) required to change the Kinetic energy of the skywheel by KE =500 J by reducing the angular speed from = 650 i rev/min to =f500 rev/min. Given data, Change in kinetic energy, KE =500 J Initial angular speed, =i650 rev/min Final speed, = f00 rev/min To find, Initial kinetic energy, KE = i Final kinetic energy, KE =f Moment of inertia, I= Step 2 of 4 To convert angular speed from rev/min to rad/sec Using 1 rev = 2 rad and 1 min= 60 sec For = 650 rev/min = 650 ×2 rad/sec i i 60 = 68.03 rad/sec i 520 ×2 For =f520 rev/min f 60 rad/sec f 54.42 rad/sec