To calculate the Compression Ratio (CR):
\[ CR = \frac{V_s + V_c}{V_c} \]
Where:
The compression ratio of an engine is the ratio between the volume of the cylinder and combustion chamber at the bottom of the stroke and the volume at the top of the stroke. It is a key factor in engine performance and efficiency.
Let's assume the following values:
Using the formula:
\[ V_s = \pi \times \left(\frac{3.5}{2}\right)^2 \times 3.5 \times 4 = 134.04 \text{ in}^3 \]
\[ V_c = 60 + 5 + \pi \times \left(\frac{3.5}{2}\right)^2 \times 0.04 + \pi \times \left(\frac{3.5}{2}\right)^2 \times 0.01 = 70.24 \text{ cc} \]
\[ CR = \frac{134.04 + 70.24}{70.24} = 2.91 \]
The compression ratio is 2.91.
Let's assume the following values:
Using the formula:
\[ V_s = \pi \times \left(\frac{4.0}{2}\right)^2 \times 3.8 \times 6 = 286.48 \text{ in}^3 \]
\[ V_c = 65 + 6 + \pi \times \left(\frac{4.0}{2}\right)^2 \times 0.05 + \pi \times \left(\frac{4.0}{2}\right)^2 \times 0.02 = 78.54 \text{ cc} \]
\[ CR = \frac{286.48 + 78.54}{78.54} = 4.65 \]
The compression ratio is 4.65.