An experimental car is designed to work by accumulating energy in a flywheel shaped as a solid disc. To make the car move, the flywheel is "charged" by attaching it to an external machine able to exert a torque on the wheel ofr = 1000 Nm, so that the flywheel is accelerated and accumulates rotational kinetic encrgy. The friction of the flywheel with its axle bearings is negligible, and it has a radius R = 1.2 m and a mass m = 631.5 kg. a) If the flywheel is "charged" for 10 minutes from rest, determine its final angular velocity. Wf : 1319.61rad/s b) Determine the total rotational kinetic energy accumulated by the flywheel during this time. RKE - 3.958 X 10 Nm c) If all the energy contained in the flywheel is used to accelerate (from rest) a car of mass M = 2523.4 kg, determine the final velocity of the car. To make the calculation casier, ignore the friction between the car and the asphalt and air resistance. Vf : 560.IS m/s

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An experimental car is designed to work by accumulating energy in a flywheel' shaped
as a solid disc. To make the car move, the flywheel is "charged" by attaching it to an
external machine able to exert a torque on the wheel of t = 1000 Nm, so that the flywheel
is accelerated and accumulates rotational kinetic encrgy. The friction of the flywheel with
its axle bearings is negligible, and it has a radius R = 1.2 m and a mass m = 631.5 kg.
a) If the flywheel is "charged" for 10 minutes from rest, determine its final angular
velocity.
b) Determine the total rotational kinetic energy accumulated by the flywheel during
this time. RKE - 3.958 X 10 Nm
c) If all the energy contained in the flywheel is used to accelerate (from rest) a car of
mass M = 2523.4 kg, determine the final velocity of the car. To make the
calculation casier, ignore the friction between the car and the asphalt and air
resistance.
Wf = 1319.6l rad/s
V¢ : 560.1s m/s
Transcribed Image Text:An experimental car is designed to work by accumulating energy in a flywheel' shaped as a solid disc. To make the car move, the flywheel is "charged" by attaching it to an external machine able to exert a torque on the wheel of t = 1000 Nm, so that the flywheel is accelerated and accumulates rotational kinetic encrgy. The friction of the flywheel with its axle bearings is negligible, and it has a radius R = 1.2 m and a mass m = 631.5 kg. a) If the flywheel is "charged" for 10 minutes from rest, determine its final angular velocity. b) Determine the total rotational kinetic energy accumulated by the flywheel during this time. RKE - 3.958 X 10 Nm c) If all the energy contained in the flywheel is used to accelerate (from rest) a car of mass M = 2523.4 kg, determine the final velocity of the car. To make the calculation casier, ignore the friction between the car and the asphalt and air resistance. Wf = 1319.6l rad/s V¢ : 560.1s m/s
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