Question

The specification for the length of a bolt is 4.75 inches. A machinist makes a bolt that is 4.769 inches long. What is the percent error of the bolt’s length?

Answer 1

Answer:

0.4%.

Step-by-step explanation:

Given that,

The length of a bolt is 4.75 inches and a machinist makes a bolt that is 4.769 inches long.

We need to find the percent error of the bolt’s length. The percentage error in the any value is given by :

$\%=\dfrac{|\text{original value-calculated value}|}{\text{original value}}\times 100\\\\=\dfrac{4.75 -4.769 }{4.75}\times 100\\\\=0.4\%$

So, the percentage error of the bolt's length is 0.4%.