Question

Will a 9/32 inch diameter pin fit into a reamed hole with a diameter of 0.278 inch? (Do not round off your answer and express it in fraction

form)

Answer 1

9/32 inch diameter pin will not fit into a reamed hole with a diameter of 0.278 inch

Explanation:

Diameter of reamed hole = 0.278 inch

Radius of reamed hole =
`(0.278)/(2) =0.139`

Surface area of reamed hole =
`\pi r^2`

Surface area of reamed hole =
`3.14 * (0.139)^2`

Surface area of reamed hole = 0.06066794

Diameter of pin =
`(9)/(32)`

Radius of pin =
`(9)/(64)`

Surface area of pin =
`\pi r^2 = 3.14 * ( (9)/(64))^2=0.0620`

Since the surface area of pin is more than the surface area of hole .

So, a 9/32 inch diameter pin will not fit into a reamed hole with a diameter of 0.278 inch