A bus contains a 1500 kg flywheel (a disk that has a 0.600 m radius) and has a total mass of 10,000 kg. (a) Calculate the angular velocity the flywheel must have to contain enough energy to take the bus from rest to a speed of 20.0 m/s, assuming 90.0% of the rotational kinetic energy can be transformed into translational energy. (b) How high a hill can the bus climb with this stored energy and still have a speed of 3.00 m/s at the top of the hill? Explicitly show how you follow the steps in the Problem-Solving Strategy for Rotational Energy.
A bus contains a 1500 kg flywheel (a disk that has a 0.600 m radius) and has a total mass of 10,000 kg. (a) Calculate the angular velocity the flywheel must have to contain enough energy to take the bus from rest to a speed of 20.0 m/s, assuming 90.0% of the rotational kinetic energy can be transformed into translational energy. (b) How high a hill can the bus climb with this stored energy and still have a speed of 3.00 m/s at the top of the hill? Explicitly show how you follow the steps in the Problem-Solving Strategy for Rotational Energy.
A bus contains a 1500 kg flywheel (a disk that has a 0.600 m radius) and has a total mass of 10,000 kg. (a) Calculate the angular velocity the flywheel must have to contain enough energy to take the bus from rest to a speed of 20.0 m/s, assuming 90.0% of the rotational kinetic energy can be transformed into translational energy. (b) How high a hill can the bus climb with this stored energy and still have a speed of 3.00 m/s at the top of the hill? Explicitly show how you follow the steps in the Problem-Solving Strategy for Rotational Energy.
Definition Definition Rate of change of angular displacement. Angular velocity indicates how fast an object is rotating. It is a vector quantity and has both magnitude and direction. The magnitude of angular velocity is represented by the length of the vector and the direction of angular velocity is represented by the right-hand thumb rule. It is generally represented by ω.
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 23.5 m/s, assuming 88.5% 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
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 22.0 m/s, assuming 80.5% 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
Additional Materials
E Roading
A lawn mover has a flat, rod-like-shaped steel blade that rotates about its center. The mass of the blade is 0.65 kg
and its length is 0.55 m. (a) What is the rotational energy of the blade if the blade has an angular speed of 3500
rpm (revolution per minute)?
(b) If all of the rotational kinetic energy of the blade ocould be converted to gravitational energy, to what height
would the blade rise?
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