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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)

User Slup
by
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1 Answer

4 votes

Answer:

No, it won't

Explanation:

Given


Pin\ diameter = (9)/(32)


Reamed\ hole\ diameter = 0.278

Required

Will the pin fit into the reamed hole?

For the pin to fit into the reamed hole, the diameter has to be smaller than that of the reamed hole.

In other words;

The pin will fit in if it satisfies the following condition


Reamed\ hole - Pin > 0


Reamed\ hole - Pin = 0.278 - (9)/(32)

Convert decimal to fraction


Reamed\ hole - Pin = (278)/(1000) - (9)/(32)

Simplify fraction to lowest term


Reamed\ hole - Pin = (139)/(500) - (9)/(32)

Take LCM


Reamed\ hole - Pin = (1112 - 1125)/(4000)


Reamed\ hole - Pin = (-3)/(4000)

This doesn't satisfy the condition
Reamed\ hole - Pin > 0

Because
(-3)/(4000) < 0

So, we can conclude that the Pin will not fit into the reamed hole

User Ssinfod
by
6.9k points