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The engine displacement of an automobile is the volume through which the piston moves from high to low position. If an engine has n cylinders, the displacement is D = pi • (bore/2)^2  • stroke • n, where the bore is the diameter of the cylinder and stroke is the length of the piston's travel.

 

1. If bore = k/2 and stroke = h, simplify the expression, D, in terms of k and h for 8 cylinders.

 Jun 17, 2019
 #1
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+2

D = pi *  [ (k/2)/2]^2 * h * 8

 

D =  pi * [ k/4 ] ^2 * 8h

 

D = pi * k^2 / 16  * 8h

 

D = pi * k^2 * h *  8 / 16

 

D = (1/2)* pi* k^2 * h

 

 

cool cool cool

 Jun 17, 2019

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