1 - A steel measuring tape used by a civil engineer is 50 metres long and...

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Answer 1

Answer #1

Relation between change in length and temperature change is given by:

dL = L - L0 = L0*alpha*dT

dT = temperature change = 35 C - 20 C = 15 C

alpha = Coefficient of linear expansion = 1.2*10^-5 per C

L0 = actual length = ?

dL = change in length = L - L0

L = distance measured at 35 C = 35.694 m

So,

L0 = L/(1 + alpha*dT)

L0 = 35.694/(1 + 1.2*10^-5*15)

L0 = 35.688 m = actual length measured

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Answer 2

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