Question

What is the displacement volume for a four-stroke engine, with a 10 cm bore diameter and 8 cm stroke length?

• A. 2512 cm\(^3\)
• B. 25.12 cm\(^3\)
• C. 251.2 cm\(^3\)
• D. 25120 cm\(^3\)

Hint:

Use the formula \( V = \frac{\pi}{4} D^2 L \) to find displacement volume in a single-cylinder engine.

Answer 1

The Correct Option is C

Step 1: Understanding Displacement Volume Formula
The displacement volume of a single cylinder in a four-stroke engine is given by: \[ V = \frac{\pi}{4} D^2 L \] where: - \( D \) = Bore diameter (cm) - \( L \) = Stroke length (cm)
Step 2: Substituting Given Values
Given \( D = 10 \) cm and \( L = 8 \) cm, we calculate: \[ V = \frac{\pi}{4} \times (10)^2 \times 8 \] \[ V = \frac{3.1416}{4} \times 100 \times 8 \] \[ V = 3.1416 \times 200 \] \[ V = 251.2 \text{ cm}^3 \]
Step 3: Eliminating Incorrect Options
- \( 2512 \) cm\(^3\) is 10 times the correct answer. - \( 25.12 \) cm\(^3\) is 1/10th of the correct answer. - \( 25120 \) cm\(^3\) is an incorrect magnitude.