Question

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Answer 1

ANSWER

Length of the steel tape at temperature T=27

o

C,l=1m=100cm

At temperature T

1

=45

o

C, the length of the steel rod, l

1

= 63 cm

Coefficient of linear expansion of steel, α=1.2×10

−5

K

Let l be the actual length of the steel rod and l' be the length of the steel tape at 45

o

C.

l

′

−l=lα(T

1

−T)

l

′

=100(1+1.20×10

−5

×(45−27))=100.0216cm

Hence, the actual length of the steel rod measured by the steel tape at 45

0

C can be calculated as:

l

2

=(100.0216/100)63=63.0136cm

Therefore, the actual length of the rod at 45

o

C is 63.0136 cm. Its length at 27

o

C is 63.0cm.