Exam 3: Basic Theories and Math

Correct Answer:

Answered by Examlex AI Copilot

To calculate the horsepower generated by an engine, you can use the following formula, which relates torque (in pound-feet), rotational speed (in revolutions per minute or rpm), and horsepower (HP):

Horsepower (HP) = (Torque (lb-ft) × RPM) / 5252

This formula is derived from the relationship between these units and the definition of horsepower. The constant 5252 is a conversion factor that comes from the equation HP = Torque × RPM ÷ (33,000 ft-lb/min), which is simplified by the fact that 33,000 ft-lb/min is equivalent to one horsepower. The number 5252 is the rpm value at which torque and horsepower intersect numerically in the imperial system.

Given the values from your question:

Torque = 265 lb-ft
RPM = 5800

We can plug these values into the formula to find the horsepower:

Horsepower (HP) = (265 lb-ft × 5800 RPM) / 5252
Horsepower (HP) = 1,537,000 / 5252
Horsepower (HP) ≈ 292.6

Therefore, an engine running at 5800 rpm while producing 265 lbs./ft. of torque generates approximately 292.6 horsepower.