A bus contains a 1480 kg flywheel (a disk that has 0.61m radius) and has a total

Question

A bus contains a 1480 kg flywheel (a disk that has 0.61m radius) and has a total mass of 11000kg.

Help for part A and B please.

(3%) Problem 13. A bus contains a 1480 kg flywheel (a disk that has a 0.61 m radius) and has a total mass of 11 000 kg Randomized Variables m= 1480 kg r 0.61 m m 11000 kg v 18 m/s 2 2.85 m/s 50% Part (a) Calculate the angular velocity the flywheel must have to contain enough energy to take the bus from rest to a speed of 18 m/s in rads, assuming 90.0% of the rotational kin etic energy can be transformed into translational energ Grade Summa Deductions Potential ry 090 100% cosO cotanasin0 tan() | ? acosO Sin Submissions Attempts remaining: 35 (3% per attempt) detailed view acotanOsinh atan cosh0 tanh cotanhO Degrees Radians END «? DELI CLEAR Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 3 Feedback: 0% deduction per feedback. 50% Part (b) How high a hill can the bus climb with this stored energy and still have a speed of 2.35 m/s at the top of the hill in m?

Explanation / Answer

part A)

let the angular speed of the wheel is w

Using energy conservation

0.50 * (0.50 * 1480 * 0.61^2) * w^2 * 0.90 = 0.50 * 11000 * v^2

when v = 18 m/s

0.50 * (0.50 * 1480 * 0.61^2) * w^2 * 0.90 = 0.50 * 11000 * 18^2
solving for w

w = 120 rad/s

the angular speed is 120 rad/s

part B)

let the height is h

0.50 * 11000 * 18^2 = 0.50 * 11000 * 2.85^2 + 11000 * 9.8 * h

solving for h

h = 16.1 m

the height reached can be 16.1 m

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