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

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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Rigid Body

A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.

Rigid Body Dynamics

Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).

Question

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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