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11:59:00 PM (8%) Problem 3: A flywheel is a mechanical device used to store rotational kinetic energy for later use. Consider a flywheel in the form of a uniform solid cylinder rotating around its axis, with moment of inertia I= 1/2 m². 1
33% Part (a) If such a flywheel of radius ₁ = 0.65 m and mass mi maximum amount of energy, in joules, that this flywheel can store. Emax sin cotan sin() atan()) cosh() cos()) asin() acotan() tanh() O Degrees Hints: 4% deduction per hint. Hints remaining: 2 Submit 7 8 9 5 6 tan()) acos() E 4 sinh() cotanh() 1 2 3 + 0 VO BACKSPACH Radians Hint 16 kg can spin at a maximum speed of v= 45 m/s at its rim, calculate the TU Feedback - = DE I give up! HOME Feedback: 5% deduction per feedback. All content 2032 Expert TA LIC END CLEAR Grade Summary Deductions Potential 0% 100% 33% Part (b) Consider a scenario in which the flywheel described in part (a) (r₁ = 0.65 m, mass m₁ = 16 kg, v = 45 m/s at the rim) is spinning freely at its maximum speed, when a second flywheel of radius r2 = 2.8 m and mass m₂ 21 kg is coaxially dropped from rest onto it and sticks to it, so that they then rotate together as a single body. Calculate the energy, in joules, that is now stored in the wheel. 33% Part (c) Return now to the flywheel of part (a), with mass m₁, radius r₁, and speed v at its rim. Imagine the flywheel delivers one third of its stored kinetic energy to car, initially at rest, leaving it with a speed year. Enter an expression for the mass of the car, in terms of the quantities defined here. Submissions Attempts remaining: (4% per attempt) detailed view