A brass rod of 2m long at a certain temperature what is its length for temperature rise to 100K take (linear expansivity of brass is 1.8*10^-6K^-1)
Please help me
To calculate the change in length of the brass rod due to a temperature rise of 100K, you can use the formula:
ΔL = α * L * ΔT
Where:
ΔL = Change in length
α = Linear expansivity of brass (1.8 * 10^-6 K^-1)
L = Initial length of the rod (2m)
ΔT = Change in temperature (100K)
Now let's calculate the change in length:
ΔL = (1.8 * 10^-6 K^-1) * (2m) * (100K)
ΔL = 3.6 * 10^-4 m
Therefore, the change in length of the brass rod for a temperature rise of 100K is 3.6 * 10^-4 meters.
To find the change in length of the brass rod with a temperature rise, you can use the formula:
ΔL = α * L * ΔT
Where:
ΔL is the change in length
α is the linear expansivity of the material
L is the original length of the rod
ΔT is the change in temperature
Given:
α (linear expansivity of brass) = 1.8 * 10^-6 K^-1
L (original length of rod) = 2 m
ΔT (change in temperature) = 100 K
We can plug in these values into the formula to calculate the change in length:
ΔL = (1.8 * 10^-6 K^-1) * (2 m) * (100 K) = 0.00036 m
Therefore, the change in length of the brass rod with a temperature rise of 100 K will be 0.00036 meters.