the bore of an engine cyclinder is the diameter of the piston and the stroke is the distance that the piston will travel up the cyclinder wall. The displacement is the volume of space that the piston goes thru. If the piston is 3.97" in dia. and the stroke is 4" what is the total cubic inch displacement for qn 8 cyclinder engine?
To calculate the displacement of an engine, you need to consider the bore (piston diameter) and the stroke (piston travel distance). For an 8-cylinder engine, you will need to calculate the displacement for each cylinder and then multiply it by the number of cylinders.
1. First, calculate the displacement of a single cylinder:
- The bore is given as 3.97 inches, which is the diameter of the piston. Since the bore is the diameter, we can use it directly in our calculations.
- The stroke is given as 4 inches, which is the distance the piston travels up and down the cylinder.
- To find the volume of the cylinder, you need to calculate the area of the bore (π * r^2) and multiply it by the stroke.
- The radius (r) is half of the bore, so r = 3.97 inches / 2 = 1.985 inches.
- The area (A) of the bore is then π * (1.985)^2.
- The volume of the cylinder (V) is A * stroke.
2. Calculate the displacement for a single cylinder using the volume formula:
- V = A * stroke
- V = π * (1.985)^2 * 4
3. Multiply the displacement of a single cylinder by the number of cylinders:
- To find the total displacement for an 8-cylinder engine, multiply the displacement of a single cylinder by 8.
Let's calculate the displacement for an 8-cylinder engine using these steps:
1. Calculate the volume of a single cylinder:
- r = 3.97 inches / 2 = 1.985 inches
- A = π * (1.985)^2
- V = A * stroke
- V = π * (1.985)^2 * 4
2. Calculate the total displacement for the 8-cylinder engine:
- Total displacement = V * 8
Now you can use these steps to calculate the displacement of the 8-cylinder engine.