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 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?
A car is designed to get its energy from a rotating flywheel (solid disk) with a radius of 1.00 m and
mass of 475 kg. Before a trip, the flywheel is attached to an electric motor, which brings the flywheel's
rotational speed up to 5000 rev/min.
(a) Find the kinetic energy stored in the flywheel.
(b) If the flywheel is to supply energy to the car as would a 10.0-hp motor, find the length of time the car could run before the flywheel would have to be brought back up to speed.
When turning on a motor, it reaches a nominal speed of 2,500 rpm in a time of 12 s; when the motor is turned off it takes 42 s to come to a complete stop. If we start from the angular motion is uniformly accelerated, determine the number of revolutions that performs the motor to reach the rated speed and then to stop.
University Physics with Modern Physics (14th Edition)
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