Calculate the increase in length of an aluminium cable of length 30m when temperature rises from 15 degrees Celsius to 45 degrees Celsius. given that the coefficient of expansion is 2.4 X 10^-4 /degrees Celsius.
Answers
Answer:
rises from 15°C to 45°C. Given that coefficient of linear expansion of aluminium is 2.4 * 10-5/C.
Given:
The length of the aluminum cable is 30m.
The rise in temperature from 15°C to 45°CThe coefficient of expansion is 2.4 X 10^-4 /degrees Celsius.
Find:
The increase in length of an aluminum cable
Solution:
As we know that the length of the aluminum cable increases as the temperature rises.
The increase in length of temperature is given by the formula
ΔL = L₀ α ΔT where ΔL denotes the change in length
L₀ denotes the original length
α is the coefficient of thermal expansion
ΔT is the change in temperature
ΔT = (45°C - 15°C ) = 30°C
α = 2.4 X 10^-4 / °C
L₀ = 30m
ΔL = 30 * 2.4 X 10^-4 * 30 = 0.216m
The increase in length of an aluminum cable is 0.216m