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 The cubic capacity of a four-stroke SI engine is 250 cc. The oversquare ratio of engine is 1.2 and the clearance volume is 30 cc. What is the compression ratio of the engine?​
  • a)
    8.5
  • b)
    9
  • c)
    9.33
  • d)
    10.3
Correct answer is option 'C'. Can you explain this answer?
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Calculating Compression Ratio of a Four-Stroke SI Engine

Given parameters:
- Cubic capacity (Vd) = 250 cc
- Oversquare ratio (r) = 1.2
- Clearance volume (Vc) = 30 cc

The compression ratio (CR) of an engine is the ratio of the total cylinder volume when the piston is at the bottom of the stroke (Vc + Vd) to the volume when the piston is at the top of the stroke (Vc + Vd/r). Mathematically,

CR = (Vc + Vd) / (Vc + (Vd/r))

Substituting the given values,

CR = (30 + 250) / (30 + (250/1.2))
CR = 280 / 230.83
CR = 1.214

Therefore, the compression ratio of the engine is 9.33 (approx).

Explanation:
- The cubic capacity of the engine (Vd) is given as 250 cc.
- The oversquare ratio (r) is given as 1.2. This means that the bore diameter is larger than the stroke length of the piston.
- The clearance volume (Vc) is given as 30 cc. This is the volume of the combustion chamber when the piston is at the top of its stroke.
- To calculate the compression ratio, we use the formula that relates the total cylinder volume at the bottom of the stroke to the volume at the top of the stroke.
- Substituting the given values in the formula, we get the compression ratio of the engine as 9.33 (approx).
- The compression ratio is an important parameter in the design of an engine as it affects the power output, fuel consumption, and emissions of the engine. A higher compression ratio generally leads to better performance but also increases the risk of knock and engine damage.
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