1. A bearing (babbitted) with a [tex]$1^{3 / 4}$[/tex]-inch bore is fitted to the new shaft of a motor by reaming. If the reaming process increases the diameter of the bore by 0.003 inch, what is the size of the bore after the work is completed?



Answer :

Certainly! Let's break down the problem step-by-step:

1. Initial Diameter of the Bore:
The bore initially has a diameter of [tex]\(1^{3/4}\)[/tex] inches. We can also express [tex]\(1^{3/4}\)[/tex] as a decimal:
[tex]\[ 1^{3/4} = 1 + \frac{3}{4} = 1 + 0.75 = 1.75 \text{ inches} \][/tex]

2. Increase in Diameter Due to Reaming:
The process of reaming increases the diameter of the bore by 0.003 inches.

3. Final Diameter Calculation:
To find the final bore diameter after the reaming process, we need to add the increase in diameter to the initial diameter:
[tex]\[ \text{Final Diameter} = \text{Initial Diameter} + \text{Increase in Diameter} \][/tex]
Substituting the known values:
[tex]\[ \text{Final Diameter} = 1.75 \text{ inches} + 0.003 \text{ inches} = 1.753 \text{ inches} \][/tex]

Therefore, the size of the bore after the reaming process is completed is [tex]\(1.753\)[/tex] inches.