p111_lecture20

p111_lecture20 - 9.5 Rotational Work and Energy s = r! W =...

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9.5 Rotational Work and Energy ! Fr Fs W = = r s = Fr = !" = W Consider the work done in rotating a wheel with a tangential force, F , by an angle θ .
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9.5 Rotational Work and Energy DEFINITION OF ROTATIONAL WORK The rotational work done by a constant torque in turning an object through an angle is !" = R W Requirement: The angle must be expressed in radians. SI Unit of Rotational Work: joule (J)
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9.5 Rotational Work and Energy ( ) ( ) 2 2 1 2 2 2 1 2 2 2 1 ! I mr mr KE = = = " " 2 2 2 1 2 2 1 mr mv KE T = = r v T = According to the Work-Energy theorem: W = KE f - KE 0 So W R should be able to produce rotational kinetic energy. Calculate the kinetic energy of a mass m undergoing rotational motion at radius r and moving with tangential speed v T For a system of rotating masses, the total kinetic energy is the sum over the kinetic energies of the individual masses,
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9.5 Rotational Work and Energy 2 2 1 ! I
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p111_lecture20 - 9.5 Rotational Work and Energy s = r! W =...

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