A model car has a scale factor of 1/64.The diameter of a tire on the model is 0.4 inches. What is the diameter of a tire on the actual car?
A model car has a scale factor of 1/64 The diameter of a tire on the model is 0.41 inches. The diameter of the tire on the actual car is?
To find the diameter of a tire on the actual car, we'll use the scale factor. The scale factor of 1/64 means that every unit on the model represents 1/64th of the corresponding unit on the actual car.
In this case, we know the diameter of the tire on the model is 0.4 inches. To find the diameter of the tire on the actual car, we need to multiply this value by the scale factor:
Diameter of actual car's tire = Diameter of model's tire * Scale factor
Diameter of actual car's tire = 0.4 inches * 1/64
To multiply fractions, we multiply the numerators and the denominators:
Diameter of actual car's tire = (0.4 * 1) / 64
Diameter of actual car's tire = 0.4 / 64
To divide by a fraction, we multiply by the reciprocal:
Diameter of actual car's tire = 0.4 * (1 / 64)
Diameter of actual car's tire = 0.4 / 64
To simplify this fraction, we divide both the numerator and the denominator by their greatest common factor, which is 8:
Diameter of actual car's tire = (0.4 / 8) / (64 / 8)
Diameter of actual car's tire = 0.05 inches
Therefore, the diameter of a tire on the actual car is 0.05 inches.