Algebra problem

Question

The total volume of a cylinder with piston at bottom dead center is the sum of the piston displacement volume and the cylinder clearance volume. Thus, 

 

compression ratio= (piston displacem volume) + (clearance volume)/(clearance volume) or CR= Vp + Vc/Vc 

 

using algebra to find the clearance volume, we have Vc=Vp/CR-1

 

find the cylinder clearance volume (Vc) if the original engine. (Hint: Vp=2.0 liters divided by 4)

Answer 1

Given:

1. The total piston displacement volume (Vp) for the engine is 2.0 liters.
2. The engine has 4 cylinders, so the displacement volume for one cylinder (Vp) is 2.0 liters divided by 4.

First, calculate the displacement volume for one cylinder:

1. Vp = 2.0 liters / 4
2. Vp = 0.5 liters

Now, use the formula to find the cylinder clearance volume (Vc). The formula is:

1. Vc = Vp / (CR - 1)

Assume the compression ratio (CR) is 10.

Plug the values into the formula:

1. Vc = 0.5 liters / (10 - 1)
2. Vc = 0.5 liters / 9
3. Vc = 0.0556 liters

So, the cylinder clearance volume (Vc) is approximately 0.0556 liters.