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The engine of a car has three cylinder with total displacement of 770 cc. The compression ratio is 8.7. What is the clearance volume of each cylinder?
- a)34.4 cc
- b)33.33 cc
- c)32.33 cc
- d)35.2 cc
Correct answer is option 'B'. Can you explain this answer?
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The engine of a car has three cylinder with total displacement of 770 ...
Now total displaced volume for three cylinders is 770 cc. So for one cylinder the VS = 770/3 cc
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The engine of a car has three cylinder with total displacement of 770 ...
To find the clearance volume of each cylinder, we need to understand the concept of compression ratio and displacement.
Compression Ratio:
The compression ratio is the ratio of the total volume of the cylinder when the piston is at the bottom dead center (BDC) to the total volume when the piston is at the top dead center (TDC). It is an important parameter that affects the performance and efficiency of an engine.
Displacement:
The displacement of an engine is the total volume swept by all the pistons in all the cylinders during one complete cycle. It is usually measured in cubic centimeters (cc) or liters.
Given Data:
Number of cylinders (n) = 3
Total displacement (D) = 770 cc
Compression ratio (CR) = 8.7
Calculations:
The displacement of each cylinder can be calculated by dividing the total displacement by the number of cylinders:
Displacement per cylinder = Total displacement / Number of cylinders
Displacement per cylinder = 770 cc / 3
Displacement per cylinder = 256.67 cc
The clearance volume (CV) can be calculated using the formula:
CV = (Displacement per cylinder) / (Compression ratio - 1)
Substituting the given values into the formula:
CV = 256.67 cc / (8.7 - 1)
CV = 256.67 cc / 7.7
CV ≈ 33.33 cc
Therefore, the clearance volume of each cylinder is approximately 33.33 cc.
Compression Ratio:
The compression ratio is the ratio of the total volume of the cylinder when the piston is at the bottom dead center (BDC) to the total volume when the piston is at the top dead center (TDC). It is an important parameter that affects the performance and efficiency of an engine.
Displacement:
The displacement of an engine is the total volume swept by all the pistons in all the cylinders during one complete cycle. It is usually measured in cubic centimeters (cc) or liters.
Given Data:
Number of cylinders (n) = 3
Total displacement (D) = 770 cc
Compression ratio (CR) = 8.7
Calculations:
The displacement of each cylinder can be calculated by dividing the total displacement by the number of cylinders:
Displacement per cylinder = Total displacement / Number of cylinders
Displacement per cylinder = 770 cc / 3
Displacement per cylinder = 256.67 cc
The clearance volume (CV) can be calculated using the formula:
CV = (Displacement per cylinder) / (Compression ratio - 1)
Substituting the given values into the formula:
CV = 256.67 cc / (8.7 - 1)
CV = 256.67 cc / 7.7
CV ≈ 33.33 cc
Therefore, the clearance volume of each cylinder is approximately 33.33 cc.
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The engine of a car has three cylinder with total displacement of 770 cc. The compression ratio is 8.7. What is the clearance volume of each cylinder?a)34.4 ccb)33.33 ccc)32.33 ccd)35.2 ccCorrect answer is option 'B'. Can you explain this answer?
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