Calculate Matrix Volume with Specific Gravities 1.5 and 1.9

[mikekyrou]

Homework Statement

I have the specific gravities of two materials(1.5 and 1.9) and i want to calculate the matrix volume(Vm). The only information who i had is the specific gravities and that the matrix form is continuous and oriented.

Homework Equations

Vm+Vf=1 (not sure)

The Attempt at a Solution

Vf=fiber volume/total volume , Vm=matrix volume/total volume
therefore
fiber volume/1.9=matrix volume/1.5

I need another one term to solve it. Do i need other information. Any help?

 

[nate808]

Thank you for sharing your question with us. It seems like you are trying to calculate the matrix volume (Vm) using the specific gravities of two materials (1.5 and 1.9) and the fact that the matrix form is continuous and oriented. Your attempt at using the equation Vm+Vf=1 is a good start, but you are missing some information to solve for Vm.

To solve for Vm, you will need to know the total volume of the material. This information can be obtained by measuring the dimensions of the material or by knowing the total weight of the material and its density. Once you have the total volume, you can use the equation Vm+Vf=1 to solve for Vm.

In addition, you may also need to know the fiber volume fraction (Vf) in order to calculate Vm. This can be obtained by knowing the weight or volume of the fibers and the total weight or volume of the material. Once you have Vf, you can plug it into the equation Vm+Vf=1 to solve for Vm.

I hope this helps you in solving your problem. Remember, as a scientist, it is important to have all the necessary information and to use the appropriate equations in order to accurately calculate and analyze data. Good luck with your calculations!