If you increase the temperature of a 5 m long steel bar from −15◦C to 35◦C, how much
longer would it become?
look up the formula and use it
length * temp change * expansion factor
I have used and got the following:
-Thermal expansion of steel= 1.1*10^-5
-the length= 5m which's 0.005k
- the Temp change= -50
my answer was:
-2.75*10^-6 is that correct?
thanks for your help & time☺
To calculate how much longer the steel bar would become, we need to use the coefficient of linear expansion for steel. Steel typically has a coefficient of linear expansion of around 12 x 10^-6 per degree Celsius.
To determine the change in length of the steel bar, we can use the formula:
ΔL = L * α * ΔT
Where:
ΔL is the change in length
L is the initial length of the bar (5m in this case)
α is the coefficient of linear expansion for steel (12 x 10^-6 per degree Celsius)
ΔT is the change in temperature (35°C - (-15°C) = 50°C)
Let's plug the values into the formula:
ΔL = 5m * 12 x 10^-6 per °C * 50°C
Now we can calculate the change in length:
ΔL = 5m * 0.000012 per °C * 50°C
= 0.003m
Therefore, the steel bar would become 0.003 meters (or 3 millimeters) longer when the temperature increases from -15°C to 35°C.