Question

Horsepower developed by an engine varies directly as its displacement. How many horsepower will be developed with a displacement of 250 cubic in. if a 370 cup in. engine of the same kind develops 240 hp?

An engine with displacement of 250 cubic in will develop __ hp.

Answer 1

Given:

Horsepower (HP) varies directly as its displacement (d).

So,

HP = C d                               (1)

where

C is a constant and d is the displacement.

Given:

For d = 370, HP = 240

Substituting in (1), we get:

240 = C * 370

So,

C = 240/370

=0.6486

So,

(1) becomes

HP = 0.6486 d

Put d = 250, we get:

HP = 0.6486 X 250

= 162.1612

So,

An engine with displacement of 250 cubic in will develop 162.1612 hp.