An aluminum bar is 2m long at a temperature of 20 degrees C What will be the length of the bar at a temperature of 100 degrees C
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To find the length of the aluminum bar at a temperature of 100 degrees C, we can use the concept of thermal expansion. The formula we can use in this scenario is:
ΔL = α * L0 * ΔT
Where:
ΔL = Change in length
α = Coefficient of linear expansion
L0 = Original length
ΔT = Change in temperature
First, we need to find the coefficient of linear expansion for aluminum. The coefficient of linear expansion represents how much a material's length will change per degree Celsius of temperature change. For aluminum, the coefficient of linear expansion is approximately 0.000022 per degree Celsius.
Now we can plug in the values into the formula:
ΔL = (0.000022) * (2m) * (100°C - 20°C)
= (0.000022) * (2m) * (80°C)
= 0.00352m
Therefore, the change in length (ΔL) is approximately 0.00352m.
To find the final length of the aluminum bar at a temperature of 100 degrees Celsius, we need to add the change in length to the original length:
Length at 100°C = Original length + Change in length
= 2m + 0.00352m
= 2.00352m
Therefore, the length of the aluminum bar at a temperature of 100 degrees Celsius is approximately 2.00352 meters.