Question
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Calculate the RPM for an engine with the following parameters:
4 cylinders,
a stroke length of 0.66 feet,
a bore of 3.1 inches,
has an indicated mean effective pressure (IMEP) of 1100 psi per cylinder,
and operates at 5500 horsepower.
Round to 1 decimal place. Remember, RPM

Ask by Graham Evans. in Canada
Dec 09,2024

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Tutor-Verified Answer

Answer

The RPM of the engine is approximately 1379.0.

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The Deep Dive

To calculate the RPM, we first need to find the displacement and then use the given horsepower and IMEP to find the engine speed.
  1. Convert the bore and stroke to consistent units:
    • Stroke = 0.66 feet = 0.66 x 12 = 7.92 inches
    • Bore = 3.1 inches (no conversion needed)
  2. Calculate the engine displacement for one cylinder:
  3. Total displacement for 4 cylinders:
  4. Calculate the work done per cycle per cylinder using IMEP and displacement:
  5. Convert work done to horsepower:
    The formula for horsepower can be given as:
    To find the work done in ft-lbs, convert the work done in psi-cubic inches:
  6. Relate horsepower to RPM:
    Substituting values and solving for N (which is RPM/2):
  7. Solve for N:
  8. Convert N to RPM:
After rounding, the RPM is approximately 659.8.

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