Question

Determine the torque applied to the shaft of a car that transmits 450 hp and rotates at a rate of 3000 rpm.

Answer 1

Explanation:

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Answer 2

Concept:

Torque or moment of a force is the tendency of a force to cause or change the rotational motion of a body.

The amount of work done in a unit time is defined as power.

Now, power(the rate of doing work) is dependent on torque and rpm by a relation,

Horse Power(hp) = Torque x rpm ÷ 5252

Given:

the shaft of a car transmits 450 hp.

It rotates at a rate of 3000 rpm.

Find:

The torque that is applied to the shaft of a car.

Solution:

Using the formula given in the concept we get,

Horse Power(hp) = Torque x rpm ÷ 5252

Putting these values in the given formula,

450 = Torque x 3000 ÷ 5252

450 = Torque x 0.57

By rearranging,

Torque = 450 / 0.57

            = 789.47 lb-ft

Final answer:

The torque 789.47 lb-ft is applied to the shaft of a car that transmits 450 hp and rotates at a rate of 3000 rpm.

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