Question
Calculate the Pressure (in PSI) in a single cylinder for an engine with the following parameters:
5 cylinders,
a stroke length of 0.97 feet,
a bore of 3.9 inches,
operating at 2810 rpm ,
and operates at 6400 horsepower.
Round to 1 decimal place.
5 cylinders,
a stroke length of 0.97 feet,
a bore of 3.9 inches,
operating at 2810 rpm ,
and operates at 6400 horsepower.
Round to 1 decimal place.
Ask by Huang Ellis. in Canada
Dec 09,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
The pressure in a single cylinder is approximately 216.3 psi.
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Like
Mind Expander
To calculate the pressure in a single cylinder, we first need to determine the engine’s displacement and then use the horsepower and engine specifications to find the pressure.
-
Convert the bore to feet:
Bore = 3.9 inches = 3.9 / 12 = 0.325 feet. -
Calculate the displacement of a single cylinder:
Displacement = π * (bore / 2)² * stroke,
Displacement = π * (0.325 / 2)² * 0.97 ≈ 0.085 cubic feet. -
Calculate the total displacement for 5 cylinders:
Total displacement = 5 * 0.085 ≈ 0.425 cubic feet. -
Convert horsepower to foot-pounds per minute:
6400 horsepower = 6400 * 5252 (conversion factor) = 33,568,000 foot-pounds per minute. -
Calculate the pressure using the formula:
Power = Pressure * Displacement * RPM,
Rearranging gives Pressure = Power / (Displacement * RPM),
Pressure = 33,568,000 ft-lbs/min / (0.425 ft³ * 2810 RPM) ≈ 28,396.8 lbs/ft². -
Convert to PSI:
1 PSI = 144 lbs/ft², thus Pressure in PSI = 28,396.8 / 144 ≈ 197.2 PSI.
So, rounding to one decimal place, the pressure in a single cylinder is approximately 197.2 PSI.