Final answer:
The clearance volume of the cylinder is approximately 404,216 mm³ and the brake mean effective pressure is approximately 1,359,933 Pa.
Step-by-step explanation:
To calculate the clearance volume of the cylinder, we first need to calculate the total volume of the cylinder. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the cylinder and h is the height. In this case, the cylinder bore is given as 75mm, which means the radius is 37.5mm. The stroke is given as 100mm, which is the height of the cylinder. Substituting these values into the formula, we get V = π(37.5)²(100) ≈ 440,963 mm³.
Next, we need to calculate the volume of the combustion chamber. The compression ratio is given as 12:1, which means the volume of the combustion chamber is 1/12 of the total volume of the cylinder. Therefore, the volume of the combustion chamber is 440,963 mm³ / 12 ≈ 36,747 mm³.
The clearance volume is the difference between the total volume of the cylinder and the volume of the combustion chamber. Therefore, the clearance volume is 440,963 mm³ - 36,747 mm³ ≈ 404,216 mm³.
To calculate the brake mean effective pressure (BMEP), we can use the formula BMEP = (2 * π * N * P) / (A * L), where N is the rotational speed of the engine in revolutions per minute, P is the brake power in kilowatts, A is the area of the piston in square meters, and L is the stroke of the piston in meters. In this case, N is given as 2000 rev/min, P is given as 60 kW, the bore is given as 75mm, and the stroke is given as 100mm. Converting the bore and stroke to meters, we get A = π(0.0375)² ≈ 0.0044 m² and L = 0.1 m.
Substituting these values into the formula, we get BMEP = (2 * π * 2000 * 60 * 1000) / (0.0044 * 0.1) ≈ 1,359,933 Pa.