Question

solve the following sum​

Answer 1

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1. A steel is 40 cm long at 20 oC. The coefficient of linear expansion for steel is 12 x 10-6 (Co)-1. The increase in length and the final length when it is at 70 oC will be…

Known :

The change in temperature (ΔT) = 70oC – 20oC = 50oC

The original length (L1) = 40 cm

Coefficient of linear expansion for steel (α) = 12 x 10-6 (Co)-1

Wanted : The change in length (ΔL) and the final length (L2)

Solution :

a) The change in length (ΔL)

ΔL = α L1 ΔT

ΔL = (12×10-6 oC-1)(40 cm)(50oC)

ΔL = (10-6)(24 x 103) cm

ΔL = 24 x 10-3 cm

ΔL = 24 / 103 cm

ΔL = 24 / 1000 cm

ΔL = 0.024 cm

b) The final length (L2)

L2 = L1 + ΔL

L2 = 40 cm + 0.024 cm

L2 = 40.024