Question

a steel tape 1m long is correctly calibratred for a temperature of 27.0 c .the length of a steel rod measured by this tape is found to be 63.0cm on a hot day when the temperature is 45.0c . what is the actual length of the steel rod on that day? what is the length of the same steel rod on a day when the temperature is 27.0c ? coefficient of linear
expansion of steel=1.20*10-1k-1​

Answer 1

Giving 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

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−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.

Answer 2

Answer:

thanks for free points.