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

Question

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

UpStudy AI · Accepted Answer

To calculate the RPM of the engine, we can use the following formula that relates horsepower, IMEP, engine displacement, and RPM:

$$
\text{Horsepower} = \frac{IMEP \times \text{Displacement} \times N}{33,000}
$$

Where:
- Horsepower is the power output of the engine (in HP).
- IMEP is the indicated mean effective pressure (in psi).
- Displacement is the total engine displacement (in cubic inches).
- $$ N $$ is the engine speed in RPM divided by 2.

### Step 1: Calculate the Displacement of One Cylinder

The displacement of one cylinder can be calculated using the formula:

$$
\text{Displacement} = \pi \times \left(\frac{\text{Bore}}{2}\right)^2 \times \text{Stroke}
$$

First, we need to convert the stroke length from feet to inches:

$$
\text{Stroke} = 0.66 \text{ feet} \times 12 \text{ inches/foot} = 7.92 \text{ inches}
$$

Now we can calculate the displacement of one cylinder:

$$
\text{Displacement} = \pi \times \left(\frac{3.1 \text{ inches}}{2}\right)^2 \times 7.92 \text{ inches}
$$

Calculating the radius:

$$
\frac{3.1}{2} = 1.55 \text{ inches}
$$

Now calculating the area:

$$
\text{Area} = \pi \times (1.55)^2 \approx 3.14159 \times 2.4025 \approx 7.554 \text{ square inches}
$$

Now calculating the displacement:

$$
\text{Displacement} = 7.554 \text{ in}^2 \times 7.92 \text{ in} \approx 59.8 \text{ cubic inches}
$$

### Step 2: Calculate Total Engine Displacement

Since there are 4 cylinders, the total displacement is:

$$
\text{Total Displacement} = 4 \times 59.8 \text{ cubic inches} \approx 239.2 \text{ cubic inches}
$$

### Step 3: Rearranging the Horsepower Formula

Now we can rearrange the horsepower formula to solve for $$ N $$:

$$
N = \frac{\text{Horsepower} \times 33,000}{IMEP \times \text{Displacement}}
$$

Substituting the values:

- Horsepower = 5500 HP
- IMEP = 1100 psi
- Displacement = 239.2 cubic inches

$$
N = \frac{5500 \times 33,000}{1100 \times 239.2}
$$

Calculating the numerator:

$$
5500 \times 33,000 = 181500000
$$

Calculating the denominator:

$$
1100 \times 239.2 = 263120
$$

Now calculating $$ N $$:

$$
N = \frac{181500000}{263120} \approx 689.5
$$

### Step 4: Calculate RPM

Since $$ N = \frac{\text{RPM}}{2} $$, we can find RPM:

$$
\text{RPM} = 2 \times N = 2 \times 689.5 \approx 1379
$$

### Final Answer

Rounding to one decimal place, the RPM of the engine is:

$$
\text{RPM} \approx 1379.0
$$
The RPM of the engine is approximately 1379.0.

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

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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

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Latest Engineering Questions

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