Calculate the Pressure (in PSI) in a single cylinder for an engine with the following parameters: 4 cylinders, a stroke length of 0.86 feet, a bore of 3.7 inches, operating at 1850 rpm , and operates at 6200 horsepower. Round to 1 decimal place.
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To calculate the pressure in a single cylinder, we first need to find the engine displacement and the power per cylinder. Each cylinder's displacement can be computed using the bore and stroke. 1. **Calculate the cylinder volume (displacement)**: - Volume of one cylinder (in cubic inches) = π × (bore/2)² × stroke - Bore = 3.7 inches, Stroke = 0.86 feet = 0.86 × 12 inches/foot = 10.32 inches - Volume = π × (3.7/2)² × 10.32 ≈ 108.68 cubic inches. 2. **Total displacement for 4 cylinders**: - Total displacement = 4 × 108.68 ≈ 434.72 cubic inches. 3. **Convert the power to watts**: - 6200 horsepower = 6200 × 745.7 watts ≈ 462,604 watts. 4. **Pressure (P in PSI)** can be found from the relationship between horsepower, displacement, and RPM: - P = (HP × 33,000) / (RPM × Displacement). - Convert displacement to cubic feet = 434.72 / 1728 cubic feet (1 cubic foot = 1728 cubic inches) ≈ 0.2512 cubic feet. - P = (6200 × 33,000) / (1850 × 0.2512) ≈ 4530.1 PSI. Thus, rounding to one decimal place, the pressure in a single cylinder is approximately **4530.1 PSI**.