a copper rod has a length of 6 m at a temperature of 22 degree c. how long is the copper rod at a temperature
To find the length of the copper rod at a different temperature, we need to consider the thermal expansion of copper. Copper expands when heated and contracts when cooled. The equation that describes thermal expansion is:
ΔL = α * L0 * ΔT
Where:
ΔL is the change in length,
α is the thermal expansion coefficient,
L0 is the initial length, and
ΔT is the change in temperature.
In this case, we have an initial length of 6 meters (L0) and a temperature change of ΔT from 22 degrees Celsius. We need to determine the change in length (ΔL) based on the thermal expansion properties of copper.
The thermal expansion coefficient (α) for copper is approximately 0.000016 per degree Celsius. This means that for every degree Celsius increase in temperature, copper expands by 0.000016 times its original length.
To find the change in length, we can use the equation:
ΔL = α * L0 * ΔT
ΔL = 0.000016 * 6 * ΔT
Now, we can substitute the values into the equation to find the change in length.