Total displacement

Calculate total displacement of the 4-cylinder engine with the diameter of the piston bore B = 6.6 cm and stroke S=2.4 cm of the piston.

Help: the crankshaft makes one revolution while the piston moves from the top of the cylinder to the bottom and back to the top. Since the piston is connected to the crankshaft, we can note the movement of the piston by the angle of rotation of the crankshaft.

Zero degrees occurs when the piston is at the top of the cylinder. Since there are 360 degrees in one revolution, the piston is at the bottom when the crank angle is 180 degrees. The distance traveled by the piston from zero degrees to 180 degrees is called the stroke - S of the piston. The piston makes four strokes and the crankshaft makes two revolutions between combustion firings. The diameter of the piston, and the inside diameter of the cylinder, is called the bore - B.

Result

V =  328.4 cm3

Solution:

$r = 6.6/2 = 3.3 \ cm^2 \ \\ V_1 = \pi r^2 S = \pi \cdot 3.3^2 \cdot 2.4 = 82.11 \ cm^3 \ \\ V = 4 \cdot V_1 = 328.4 \ \text{cm}^3$

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