Calculate the stroke length (in feet) of an engine with the following parameters:
6 cylinders,
has an indicated mean effective pressure (IMEP) of 1510 psi per cylinder,
a bore of 3.8 inches,
operating at 1270 rpm ,
and operates at 1900 horsepower.
Round to 2 decimal places.

Question

UpStudy AI · Accepted Answer

To calculate the stroke length of the engine, we can use the following formula that relates the engine's power output, IMEP, engine speed, and displacement:

$$
\text{Power} = \frac{IMEP \times \text{Displacement} \times \text{RPM}}{33,000}
$$

Where:
- Power is in horsepower (hp)
- IMEP is in psi
- Displacement is in cubic inches (ci)
- RPM is the engine speed in revolutions per minute
- 33,000 is a conversion factor to convert from foot-pounds per minute to horsepower

### Step 1: Calculate the Displacement

The displacement of a single cylinder can be calculated using the formula:

$$
\text{Displacement per cylinder} = \frac{\pi}{4} \times \text{Bore}^2 \times \text{Stroke}
$$

The total displacement for all cylinders is:

$$
\text{Total Displacement} = \text{Displacement per cylinder} \times \text{Number of cylinders}
$$

### Step 2: Rearranging the Power Formula

We can rearrange the power formula to solve for the total displacement:

$$
\text{Total Displacement} = \frac{\text{Power} \times 33,000}{IMEP \times \text{RPM}}
$$

### Step 3: Plugging in the Values

Given:
- Power = 1900 hp
- IMEP = 1510 psi
- RPM = 1270
- Number of cylinders = 6
- Bore = 3.8 inches

Calculating the total displacement:

$$
\text{Total Displacement} = \frac{1900 \times 33,000}{1510 \times 1270}
$$

Calculating the numerator:

$$
1900 \times 33,000 = 62,700,000
$$

Calculating the denominator:

$$
1510 \times 1270 = 1,915,700
$$

Now, calculating the total displacement:

$$
\text{Total Displacement} = \frac{62,700,000}{1,915,700} \approx 32.69 \text{ cubic inches}
$$

### Step 4: Calculate Displacement per Cylinder

Now, we divide the total displacement by the number of cylinders:

$$
\text{Displacement per cylinder} = \frac{32.69}{6} \approx 5.45 \text{ cubic inches}
$$

### Step 5: Calculate Stroke Length

Now we can use the displacement per cylinder to find the stroke length. Rearranging the displacement formula gives us:

$$
\text{Stroke} = \frac{4 \times \text{Displacement per cylinder}}{\pi \times \text{Bore}^2}
$$

Substituting the values:

$$
\text{Stroke} = \frac{4 \times 5.45}{\pi \times (3.8)^2}
$$

Calculating the denominator:

$$
\pi \times (3.8)^2 \approx 3.14159 \times 14.44 \approx 45.39
$$

Now calculating the stroke:

$$
\text{Stroke} = \frac{21.8}{45.39} \approx 0.48 \text{ inches}
$$

### Step 6: Convert Stroke Length to Feet

To convert inches to feet, we divide by 12:

$$
\text{Stroke in feet} = \frac{0.48}{12} \approx 0.04 \text{ feet}
$$

### Final Result

The stroke length of the engine is approximately:

$$
\text{Stroke Length} \approx 0.04 \text{ feet}
$$

Thus, the final answer rounded to two decimal places is:

$$
\text{Stroke Length} \approx 0.04 \text{ feet}
$$
The stroke length of the engine is approximately 0.04 feet.

Calculate the stroke length (in feet) of an engine with the following parameters:
6 cylinders,
has an indicated mean effective pressure (IMEP) of 1510 psi per cylinder,
a bore of 3.8 inches,
operating at 1270 rpm ,
and operates at 1900 horsepower.
Round to 2 decimal places.

Upstudy AI Solution

Answer

Solution

The Deep Dive

Effective Power Strokes

Rearranging the Horsepower Formula

Related Questions

Latest Engineering Questions

Calculate the stroke length (in feet) of an engine with the following parameters: 6 cylinders, has an indicated mean effective pressure (IMEP) of 1510 psi per cylinder, a bore of 3.8 inches, operating at 1270 rpm , and operates at 1900 horsepower. Round to 2 decimal places.

Upstudy AI Solution

Answer

Solution

The Deep Dive

Effective Power Strokes

Rearranging the Horsepower Formula

Related Questions

Latest Engineering Questions

Calculate the stroke length (in feet) of an engine with the following parameters:
6 cylinders,
has an indicated mean effective pressure (IMEP) of 1510 psi per cylinder,
a bore of 3.8 inches,
operating at 1270 rpm ,
and operates at 1900 horsepower.
Round to 2 decimal places.