jsalapide said:i derived the formula alpha = change in L / (original length x change in temperature)
i came up with a formula original length = final length / (alpha x change in temperature + 1)
alpha is the coefficient of linear expansion..
I set the original length as the original length of the tape and not the actual distance between the 2 posts..
I got 29.98m
i subtracted it to 30m and i got 0.018m..
i added it to 30m to get the actual distance of the 2 posts..
My answer is 30.018m..
Is that right?
The linear expansion distance problem is a physics concept that refers to the change in length of an object when it is heated or cooled. This change in length is known as thermal expansion and is caused by the movement of molecules within the object.
The linear expansion distance is affected by the material of the object, its initial length, and the change in temperature. Different materials have different coefficients of thermal expansion, which determines how much the object will expand or contract.
The linear expansion distance can be calculated using the formula: ΔL = αLΔT, where ΔL is the change in length, α is the coefficient of thermal expansion, L is the initial length, and ΔT is the change in temperature.
The unit of measurement for linear expansion distance is typically meters (m) or millimeters (mm), depending on the size of the object. The change in temperature is usually measured in degrees Celsius (°C) or Kelvin (K).
Yes, linear expansion distance can be negative if the object is being cooled. In this case, the molecules within the object are contracting, causing the object to decrease in length. This is known as thermal contraction and is represented by a negative value in the formula.