Question

if the diameter of the front wheels on the locomotive is 4 ft what is the diameter of the front wheels on the model. Express the answer in inches?

Answer 1

Question is Incomplete, Complete question is given below.

Consider a model of a train locomotive that has a similarity transformation map of x arrow right 48x from the model to the actual locomotive when answering the question.

If the diameter of the front wheels on the locomotive is 4 feet, what is the diameter of the front wheels on the model? Express the answer in inches.

Answer:

The diameter of front wheel on the model is 1 inch.

Step-by-step explanation:

Given:

Let diameter of the front wheel on the model be 'x'.

Actual diameter of front wheel = 4 feet

Now given that ratio model to actual = $\frac{x}{48x}= \frac{1}{48}$

Now we can say that  ratio model to actual is equal to ratio of model diameter of front wheel to actual diameter of front wheel.

framing in equation form we get;

$\frac{x}{4}=\frac{1}{48}\\\\x=\frac{4}{48} = \frac{1}{12} \ ft.$

Now we know that;

$\frac{1}{12}\ ft = 1 \ in.$

Hence The diameter of front wheel on the model is 1 inch.