Hello,
Can some one please tell me if I calcilater this right...
Thank You
I used:
I=LK1(Tf-To)
What is the length of an aluminum rod at 65 degrees celsius if its length at 15 degrees celsius is 1.2 meters?
my answer:
0.001386 meter
The answer you have is correct, but it is the CHANGE in length, not the new length. So, the new length is the old length (1.2m) + the answer you came up with.
To calculate the length of an aluminum rod at a specific temperature, you can use the equation you provided:
I = L * K1 * (Tf - To)
where:
I is the change in length
L is the initial length of the rod at a given temperature (To)
K1 is the linear coefficient of thermal expansion for aluminum
(Tf - To) is the change in temperature
In this case, you are given:
L = 1.2 meters (initial length at 15 degrees Celsius)
To = 15 degrees Celsius (initial temperature)
Tf = 65 degrees Celsius (final temperature)
To find the change in length, let's assume that you have a correct value for the linear coefficient of thermal expansion for aluminum (K1). Plug in the values into the equation:
I = 1.2 * K1 * (65 - 15)
Now, without knowing the actual value of K1, we can't provide an exact answer. The value of K1 for aluminum is typically around 0.000022 (1/°C), but you will need to find the accurate value for K1 to obtain the correct answer.
So, you need to find the correct value for K1 and then multiply it by the given values (1.2 * (65 - 15)) to calculate the change in length.