if copper rod has a length of 2m at 30 °C. what is its length at 70 °C ?
To find the length of the copper rod at 70 °C, we need to use the concept of thermal expansion. The linear expansion coefficient (α) is a measure of how much a material expands per degree change in temperature. For copper, the linear expansion coefficient is typically around 0.000016 per degree Celsius.
To calculate the change in length, we can use the formula:
ΔL = α * L * ΔT
Where:
ΔL is the change in length
α is the linear expansion coefficient
L is the original length
ΔT is the change in temperature
In this case, the copper rod has an original length of 2 meters and experiences a temperature change from 30 °C to 70 °C. The change in temperature (ΔT) is therefore 70 °C - 30 °C = 40 °C.
Let's plug in these values into the formula:
ΔL = (0.000016 per °C) * (2 m) * (40 °C)
ΔL = 0.000016 * 2 * 40
ΔL = 0.00128 meters
Therefore, the change in length is 0.00128 meters. To find the final length, we can add this change to the original length:
Final Length = Original Length + Change in Length
Final Length = 2 meters + 0.00128 meters
Final Length ≈ 2.00128 meters
So, the length of the copper rod at 70 °C would be approximately 2.00128 meters.