A bus contains a 1500 kg, 0.600 m radius flywheel (a disk) and has a total mass of 10,000 kg. (a) Calculate the angular velocity the flywheel must have, in rad/s, to contain enough energy to take the bus from rest to a speed of 16.5 m/s, assuming 90.0% of the rotational kinetic energy can be transformed into translational energy. rad/s (b) How high a hill, in meters, can the bus climb with this stored energy and still have a speed of 5.00 m/s at the top of the hill? m

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Chapter1: Units, Trigonometry. And Vectors
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**Problem Statement:**

A bus contains a 1500 kg, 0.600 m radius flywheel (a disk) and has a total mass of 10,000 kg.

**(a)** Calculate the angular velocity the flywheel must have, in rad/s, to contain enough energy to take the bus from rest to a speed of 16.5 m/s, assuming 90.0% of the rotational kinetic energy can be transformed into translational energy.

\[ \text{______ rad/s} \]

**(b)** How high a hill, in meters, can the bus climb with this stored energy and still have a speed of 5.00 m/s at the top of the hill?

\[ \text{______ m} \]
Transcribed Image Text:**Problem Statement:** A bus contains a 1500 kg, 0.600 m radius flywheel (a disk) and has a total mass of 10,000 kg. **(a)** Calculate the angular velocity the flywheel must have, in rad/s, to contain enough energy to take the bus from rest to a speed of 16.5 m/s, assuming 90.0% of the rotational kinetic energy can be transformed into translational energy. \[ \text{______ rad/s} \] **(b)** How high a hill, in meters, can the bus climb with this stored energy and still have a speed of 5.00 m/s at the top of the hill? \[ \text{______ m} \]
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