a brass rod is 2m long at a certain temperature. What is its length for a temperature rise of 100k, if the expansivity of brass is 18*10
To find the change in length of the brass rod for a temperature rise of 100K, you can use the formula:
ΔL = L0 * α * ΔT
Where:
ΔL is the change in length
L0 is the original length of the rod
α is the coefficient of linear expansion
ΔT is the change in temperature
Given that the original length of the brass rod (L0) is 2m and the coefficient of linear expansion (α) is 18 * 10^(-6) K^(-1), and the change in temperature (ΔT) is 100K, we can calculate the change in length:
ΔL = 2m * (18 * 10^(-6) K^(-1)) * 100K
Simplifying the equation:
ΔL = 2 * 18 * 10^(-6) * 100 m
ΔL = 0.036m
Therefore, the length of the brass rod for a temperature rise of 100K is 2m + 0.036m = 2.036m.
To find the new length of the brass rod after a temperature rise, we can use the equation:
ΔL = α * L0 * ΔT,
where ΔL is the change in length, α is the coefficient of linear expansion, L0 is the initial length of the rod, and ΔT is the change in temperature.
In this case, the coefficient of linear expansion (α) for brass is given as 18*10^-6 per degree Celsius. The initial length (L0) of the brass rod is 2m, and the temperature rise (ΔT) is 100K.
Substituting these values into the equation, we have:
ΔL = (18 * 10^-6) * 2 * 100
ΔL = 36 * 10^-4
Therefore, the change in length of the brass rod is 36 * 10^-4 meters.
To find the new length of the rod, we need to add the change in length to the initial length:
New length = Initial length + ΔL
New length = 2 + 36 * 10^-4
Calculating this equation will give you the new length of the brass rod after the temperature rise of 100K.