an automobile engine develops a torque of 310 Nm and is rotating at a speed of 1000 rev/min. What horsepower d?
josh asked:
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?
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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?
March 25th, 2010 at 10:10 pm
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. Algol