What is the increase in length of a 2m copper from 0°c to 150°c
The increase in length of a material due to temperature change can be calculated using the coefficient of linear expansion (α) of the material and the original length (L) of the material.
For copper,
α = 1.7 x 10^-5 /°C
L = 2 meters
ΔT = 150°C - 0°C = 150°C
Using the formula ΔL = α x L x ΔT,
ΔL = (1.7 x 10^-5 /°C) x 2 meters x 150°C
ΔL = 0.0051 meters or 5.1 mm (rounded to one decimal place)
Therefore, the increase in length of a 2m copper from 0°C to 150°C is approximately 5.1 mm.
To find the increase in length of a copper rod when heated from 0°C to 150°C, you will need to use the coefficient of linear expansion for copper and the formula for thermal expansion.
The coefficient of linear expansion for copper is typically given as 0.0000163 per degree Celsius (°C).
The formula for thermal expansion is:
ΔL = α * L0 * ΔT
Where:
ΔL is the change in length
α is the coefficient of linear expansion
L0 is the original length
ΔT is the change in temperature
In this case, the original length (L0) is 2 meters, and the change in temperature (ΔT) is from 0°C to 150°C.
Using these values, we can calculate the increase in length as follows:
ΔL = 0.0000163 * 2 * (150 - 0)
ΔL = 0.0000163 * 2 * 150
ΔL = 0.0000489 meters
Therefore, the increase in length of a 2 meter copper rod from 0°C to 150°C is approximately 0.0000489 meters.