A model train is a scale model created from actual measurements. The scale factor for HO or Half Zero model trains is 1:87. A typical engine is 50mm in height and 200mm in length. Determine the actual dimensions of the train engine. Help Please
If the model is 1, multiply the model dimensions by 87. After multiplying, you also might want to change your units from mm to m.
To determine the actual dimensions of the train engine, we need to use the given scale factor of 1:87 and the measurements of the model train engine.
Let's start by converting the height. The model train engine has a height of 50mm, so we can multiply this by the scale factor:
Actual height = Model height x Scale factor
Actual height = 50mm x 1/87
To simplify the calculation, we can convert the scale factor into a decimal by dividing 1 by 87:
Actual height = 50mm x 0.0115
Actual height ≈ 0.575mm
Therefore, the actual height of the train engine is approximately 0.575mm.
Now let's do the same calculation for the length.
Actual length = Model length x Scale factor
Actual length = 200mm x 1/87
Actual length = 200mm x 0.0115
Actual length ≈ 2.3mm
Therefore, the actual length of the train engine is approximately 2.3mm.
In summary, the actual dimensions of the train engine are approximately 0.575mm in height and 2.3mm in length.