Chapter 4, Problem 1P

Calculate ratios.

1. (a) Find the ratio of the pulley diameters. ____________________

1. (b) Automotive Trades A small gasoline engine has a maximum cylinder volume of 520 cu cm and a compressed volume of 60 cu cm. Find the compression ratio. ____________________

To determine

The ratio of the diameters of the pulley.

Answer to Problem 1P

The ratio of the diameters of the pulley is $\underset{\_}{\text{5:2}}$.

Explanation of Solution

Given that the diameter of the one circle is 10 inch and the diameter of another circle is 4 inch.

Find the ratio of the diameters of the pulley as follows.

$\begin{array}{c}\frac{10\text{ in}}{4\text{ in}}=\frac{5}{2}\\ =5:2\end{array}$

Thus, the ratio of the diameters of the pulley is $\underset{\_}{\text{5:2}}$.

To determine

The ratio between the maximum cylinder volume and the compressed volume of the engine.

Answer to Problem 1P

The ratio between the maximum cylinder volume and the compressed volume of the engine is $\underset{\_}{26:3}$.

Explanation of Solution

Given that the maximum cylinder volume is 520 cu cm and the compressed volume is 60 cu cm.

Find the compression ratio of the engine as follows.

$\begin{array}{c}\frac{520\text{ cu cm}}{60\text{ cu cm}}=\frac{26}{3}\\ =26:3\end{array}$

Thus, the ratio between the maximum cylinder volume and the compressed volume of the engine is $\underset{\_}{26:3}$.