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$\cdot$ What is the power output in horsepower of an electric motor turning at 4800 rev/min and developing a torque of 4.30 $\mathrm{N} \cdot \mathrm{m}$ ?

2.9 $\mathrm{hp}$

Physics 101 Mechanics

Chapter 10

Dynamics of Rotational Motion

Newton's Laws of Motion

Rotation of Rigid Bodies

Equilibrium and Elasticity

Cornell University

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

Simon Fraser University

Lectures

02:34

In physics, a rigid body is an object that is not deformed by the stress of external forces. The term "rigid body" is used in the context of classical mechanics, where it refers to a body that has no degrees of freedom and is completely described by its position and the forces applied to it. A rigid body is a special case of a solid body, and is one type of spatial body. The term "rigid body" is also used in the context of continuum mechanics, where it refers to a solid body that is deformed by external forces, but does not change in volume. In continuum mechanics, a rigid body is a continuous body that has no internal degrees of freedom. The term "rigid body" is also used in the context of quantum mechanics, where it refers to a body that cannot be squeezed into a smaller volume without changing its shape.

02:21

In physics, rotational dynamics is the study of the kinematics and kinetics of rotational motion, the motion of rigid bodies, and the about axes of the body. It can be divided into the study of torque and the study of angular velocity.

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What is the power output i…

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An electric motor consumes…

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What power is developed by…

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So we want the power in horsepower. So we have, Ah, angular velocity of 48 100 rpm's. We're going to convert this to radiance per second. So to pi, radiance for everyone revolution. And then for every one minute there are 60 seconds and this is giving us 502.65 radiance per second. Now for the power. This is peopling the torque times the angular velocity. We know the torque is going to be 4.30 Newton meters and we know the angular velocity is 502.65 And we're going to have to multiply this by one horsepower for every 746 watts. And we're getting that. The power is equaling 2.90 horsepower. This will be our final answer. That is the end of the solution. Thank you for watching

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