The volumetric efficiency of a certain engine is 87.9​%. This means the actual airflow is 87.9​% of the theoretic airflow. If the actual airflow is 228.7 cfm​ (cubic feet per​ minute), what is the theoretic airflow of this​ engine? answer Round to the nearest tenth

The volumetric efficiency \( VE \) is defined as the ratio of actual airflow to theoretical airflow, expressed as a percentage:

\[
VE = \frac{\text{Actual Airflow}}{\text{Theoretical Airflow}} \times 100
\]

Given:
- \( VE = 87.9\% \)
- Actual Airflow \( = 228.7 \, \text{cfm} \)

We need to find the theoretical airflow, \( T \). Rearranging the formula to solve for \( T \):

\[
T = \frac{\text{Actual Airflow}}{VE / 100}
\]

Substitute the given values:

\[
T = \frac{228.7}{87.9 / 100} = \frac{228.7}{0.879}
\]

Now, calculating:

\[
T \approx 260.2 \, \text{cfm}
\]

So, the theoretical airflow is approximately \( 260.2 \, \text{cfm} \).

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the importance of volumetric efficiency in engine performance?
2. How does temperature affect volumetric efficiency?
3. What other factors might influence an engine’s actual airflow?
4. How is actual airflow measured in real-world applications?
5. Can volumetric efficiency exceed 100% in forced induction engines?

**Tip:** A well-maintained engine often shows higher volumetric efficiency, indicating better fuel and air combustion.

The volumetric efficiency of a certain engine is 87.9%. This means the actual airflow is 87.9% of the theoretic airflow. If the actual airflow is 228.7 cfm (cubic feet per minute), what is the theoretic airflow of this engine? Round to the nearest tenth.

Solve for the theoretical airflow of an engine with 87.9% volumetric efficiency when the actual airflow is 228.7 cfm. This problem involves using ratios, percentages, and unit conversion to find the solution. Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation