Final length of the bar of copper whose original length was 75mm When heated through 50 degrees
To find the final length of the bar of copper after being heated through 50 degrees, we need to use the concept of thermal expansion.
The equation commonly used to calculate thermal expansion is:
ΔL = α * L0 * ΔT
Where:
ΔL is the change in length
α is the coefficient of linear expansion of the material
L0 is the original length of the object
ΔT is the change in temperature
The coefficient of linear expansion for copper is approximately 0.000016 per degree Celsius.
In this case, the original length of the bar is 75 mm and the change in temperature is 50 degrees Celsius. So, we can substitute these values into the equation:
ΔL = 0.000016 * 75 * 50
Calculating this, we get:
ΔL = 0.06 mm
To find the final length, we add the change in length to the original length:
Final Length = Original Length + ΔL
Final Length = 75 mm + 0.06 mm
Final Length = 75.06 mm
Therefore, the final length of the bar of copper, after being heated through 50 degrees, is 75.06 mm.