A piece of wire original length 120mm is heated from 20°c to 95°c if the final length of the wire is 120,324 CALCULATE the linear expansion cofficient of wire

Answer 1

To calculate the linear expansion coefficient of the wire, we can use the formula:

ΔL = α * L * ΔT

where:
ΔL = change in length of the wire
α = linear expansion coefficient
L = original length of the wire
ΔT = change in temperature

Given:
Original length of wire (L) = 120 mm
Final length of wire = 120.324 mm
Change in temperature (ΔT) = 95°C - 20°C = 75°C

Substitute the given values into the formula:

ΔL = 120.324 mm - 120 mm
ΔL = 0.324 mm

0.324 mm = α * 120 mm * 75°C

Solving for α:

α = 0.324 mm / (120 mm * 75°C)
α = 0.000036

Therefore, the linear expansion coefficient of the wire is 0.000036 per degree Celsius.