hole in a steel plate

2012-11-08 6:46 am

A machinist bores a hole of diameter 1.35 cm in a steel plate at a
temperature of 26.5 degree celsius .

1. What is the cross-sectional area of the hole at 26.5 degree celsius?

unit: cm^2

2. What is the cross-sectional area of the hole when the temperature of
the plate is increased to 160 degree celsius? Assume that the coefficient
of linear expansion remains constant over this temperature range.

unit: cm^2

更新1:

Q2 should be a value

回答 (1)

天同

2012-11-08 7:19 am

✔ 最佳答案

1. Cross-sectional area = pi x (1.35/2)^2 cm^2 = 1.431 cm^2

2. Let a be the coefficient of linear expansion.
Hence, coefficient of areal expansion = 2a
New cross-sectional area
= 1.431[1+ 2a(160-26.5)] cm^2
= 1.43(1+267a)

2012-11-08 14:57:22 補充：
Q2: you just substitute the value of coefficient of linear expansion of steel into the derived expression and obtain the answer.

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