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

Answer:

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

Step-by-step explanation:

Diameter of reamed hole = 0.278 inch

Radius of reamed hole = $\frac{0.278}{2} =0.139$

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

Surface area of reamed hole = $3.14 \times (0.139)^2$

Surface area of reamed hole = 0.06066794

Diameter of pin = $\frac{9}{32}$

Radius of pin =$\frac{9}{64}$

Surface area of pin = $\pi r^2 = 3.14 \times ( \frac{9}{64})^2=0.0620$

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