# How to Calculate the Minimum Diameter of a Nut to Fit a Bolt?

## Question:

If bolts have a specified diameter of 0.450 cm with a tolerance of ±0.02 cm, what is the minimum diameter of a nut needed to ensure that it fits over the maximum diameter of the bolt?

1) 0.43 cm

2) 0.47 cm

3) 0.48 cm

4) 0.50 cm

5) 0.52 cm

## Answer:

The minimum diameter of a nut must be 0.52 cm to ensure that it fits over the maximum diameter of a bolt, which is 0.470 cm. The correct answer is option 5).

When working in a factory that produces nuts and bolts, it is crucial to understand the relationship between the dimensions of the two components. In this scenario, the specified diameter of a bolt is 0.450 cm with a tolerance of ±0.02 cm. This means that the maximum diameter a bolt can have is 0.450 cm + 0.02 cm, which equals 0.470 cm.

In order for the bolt to fit inside the nut securely, the nut diameter must be at least 0.05 cm larger than the maximum bolt diameter. To calculate this, we add 0.05 cm to the maximum bolt diameter of 0.470 cm, resulting in a minimum nut diameter of 0.52 cm.

Therefore, the minimum diameter of a nut needed to ensure that it fits over the bolt is 0.52 cm. This ensures proper functionality and compatibility between the nuts and bolts produced in the factory.