5 - University Physics with Modern Physics

Question

The most powerful engine available for the classic 1963 Chevrolet Corvette Sting Ray developed 360 horsepower and had a displacement of 327 cubic inches. Express this displacement in liters (L) by using only the conversions 1 L = 1000 cm³ and 1 in. = 2.54 cm.

 

Step-by-Step Solution

Answer

The displacement in liters is 5.35 L

Volume

Volume is unit to describe the amount of matter occupied by the object. The volume of the body also deals with the capacity of the system. There are many ways to measure the volume of body. The SI unit of volume is m³.

 

Given data:

The volume is $V=327 i{n}^3$  .

The conversions are,

 $$\begin{gathered} 1 L= 1000 c{m}^3 \\ 1 in =2.54 cm \end{gathered}$$

 

Conversion of volume in liter

The conversion of cubic inches  into litre is shown below,

 $$\begin{gathered} V=327 i{n}^3 \\ V=327 i{n}^3\times {\left(\frac{2.54 cm}{1 in}\right)}^3\times \left(\frac{1 L}{1000 c{m}^3}\right) \\ V=5.35 L \end{gathered}$$

 

Hence it is concluded that the displacement of the piston in liters is 5.35 L.