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 of the engine, we can use the following steps:

1. **Calculate the displacement of a single cylinder**:
   The formula for the volume of a cylinder is:
   $$
   V = \pi \times \left(\frac{d}{2}\right)^2 \times h
   $$
   where:
   - $$d$$ is the bore (diameter) of the cylinder,
   - $$h$$ is the stroke length.

First, we need to convert the bore from inches to feet:
   $$
   d = 3.7 \text{ inches} = \frac{3.7}{12} \text{ feet} \approx 0.3083 \text{ feet}
   $$

Now, we can calculate the volume of a single cylinder:
   $$
   V = \pi \times \left(\frac{0.3083}{2}\right)^2 \times 0.86
   $$
   $$
   V \approx \pi \times (0.15415)^2 \times 0.86
   $$
   $$
   V \approx \pi \times 0.0237 \times 0.86 \approx \pi \times 0.020362 \approx 0.0640 \text{ cubic feet}
   $$

2. **Calculate the total displacement for all cylinders**:
   Since there are 4 cylinders:
   $$
   V_{\text{total}} = 4 \times V \approx 4 \times 0.0640 \approx 0.2560 \text{ cubic feet}
   $$

3. **Convert the total displacement to cubic inches**:
   There are 1728 cubic inches in a cubic foot:
   $$
   V_{\text{total}} \text{ (in cubic inches)} = 0.2560 \times 1728 \approx 442.368 \text{ cubic inches}
   $$

4. **Calculate the engine's power in terms of pressure**:
   The power output of the engine is given as 6200 horsepower. We can convert horsepower to foot-pounds per minute:
   $$
   1 \text{ horsepower} = 33000 \text{ foot-pounds per minute}
   $$
   $$
   \text{Power} = 6200 \times 33000 \text{ foot-pounds per minute} = 204600000 \text{ foot-pounds per minute}
   $$

5. **Calculate the work done per cycle**:
   The engine operates at 1850 RPM, which means it completes 1850 revolutions per minute. Since it is a 4-cylinder engine, each cylinder fires once every two revolutions (assuming a 4-stroke engine):
   $$
   \text{Cycles per minute} = \frac{1850}{2} = 925 \text{ cycles per minute}
   $$

The work done per cycle is:
   $$
   \text{Work per cycle} = \frac{\text{Power}}{\text{Cycles per minute}} = \frac{204600000}{925} \approx 220000 \text{ foot-pounds}
   $$

6. **Calculate the pressure in a single cylinder**:
   The pressure can be calculated using the formula:
   $$
   P = \frac{\text{Work per cycle}}{V} = \frac{220000}{0.0640} \text{ pounds per square foot}
   $$
   $$
   P \approx 3437500 \text{ pounds per square foot}
   $$

To convert this to PSI (pounds per square inch), we use the conversion factor $$1 \text{ square foot} = 144 \text{ square inches}$$:
   $$
   P \text{ (in PSI)} = \frac{3437500}{144} \approx 23851.39 \text{ PSI}
   $$

7. **Round to 1 decimal place**:
   $$
   P \approx 23851.4 \text{ PSI}
   $$

Thus, the pressure in a single cylinder is approximately **23851.4 PSI**.
The pressure in a single cylinder is approximately 23851.4 PSI.

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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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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Latest Engineering Questions

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.