The cubic capacity of a four-stroke over-square spark-ignition engine ...
Calculating Bore of a Four-Stroke Over-Square Spark-Ignition Engine
Given Information:
- Cubic capacity of the engine (V) = 245 cc
- Over-square ratio (OSR) = 1.1
- Clearance volume (Vc) = 27.2 cc
We need to calculate the bore of the engine.
Formula:
The formula to calculate the cubic capacity of an engine is:
V = (π/4) x B^2 x S x (1 + (1/OSR)) + Vc
where,
V = Cubic capacity of the engine
B = Bore
S = Stroke
OSR = Over-Square Ratio
Vc = Clearance volume
We can rearrange the formula to calculate the bore as follows:
B = sqrt((4V - 4Vc)/(π x S x (1 + (1/OSR))))
Solution:
Substituting the given values in the formula,
B = sqrt((4 x 245 - 4 x 27.2)/(π x S x (1 + (1/1.1))))
B = sqrt(918.8/(π x S x 1.91))
B = sqrt(152.72/S)
We do not have the value of stroke (S) given in the question. Therefore, we need to make an assumption to proceed with the calculation.
Assumption:
Let us assume that the stroke is equal to 80% of the bore. i.e., S = 0.8B
Substituting this value in the above equation, we get:
B = sqrt(152.72/(0.8B))
B^2 = 191.44
B = 13.83 cm (approx)
Therefore, the bore of the engine is approximately 13.83 cm.
Conclusion:
In this question, we were given the cubic capacity, over-square ratio, and clearance volume of an engine, and we needed to calculate the bore. Using the formula for cubic capacity and assuming a value for stroke, we were able to calculate the bore of the engine to be approximately 13.83 cm.