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An engine being tested is coupled to a dynamometer with a radius arm of 1.70 feet. The test data shows a speed of 5,000 rpm and a load of 100 pounds. What is the brake horsepower?

Answer :

Final answer:

To find the brake horsepower of an engine, the Torque (product of force and distance) is multiplied by RPM and divided by 5252. Using the data provided, the engine being tested has a brake horsepower of approximately 161.88 BHP.

Explanation:

The brake horsepower (BHP) represents the power output of an engine which is being gauged by a dynamometer. To calculate BHP, we can use the formula: BHP = (Torque x RPM) / 5252. First, we need to calculate the torque, which is the force applied (in this case, the load exerted on the dynamometer) times the radius arm's length. So, Torque = Force x Distance = 100 pounds x 1.70 feet = 170 foot-pounds.

Next, we substitute the torque and the engine's speed into the BHP formula: BHP = (170 foot-pounds x 5000 rpm) / 5252, which results in approximately 161.88 BHP. Therefore, the engine being tested has a brake horsepower of around 161.88 BHP.

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