Q&A: an automobile engine develops a torque of 310 Nm and is rotating at a speed of 1000 rev/min. What horsepower d?

by Arlo Bates

Question by josh: an automobile engine develops a torque of 310 Nm and is rotating at a speed of 1000 rev/min. What horsepower d?
n automobile engine develops a torque of 310 Nm and is rotating at a speed of 1000 rev/min. What horsepower does the engine generate?

Best answer:

Answer by Algol
Just as power equals force times velocity, it also equals torque times angular velocity. Torque is the rotational analog of force and angular velocity is the rotational analog of velocity:

P = τω

Convert the given angular velocity to SI units (radians per second):

1000 RPM = 1000rev/min(2πrad/1.00rev)(1.00mim/60.0s)
= 105rad/s

Then the power generated is:

P = 310N∙m(105rad/s)
= 32600W (about 44 horsepower).

Hope this helps.

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