1. The problem statement, all variables and given/known data This is for a lab involving a rope being tied to a frequency generator on one end and a mass string on the other (creating tension on the rope) in order to create standing waves. I have to find the u (linear mass density which is kg/m for a rope by plotting it. This is the equation I'm supposed to plot f vs n/2L[sqrt(F)] I have the value for f (frequency), n, L (length), and F (tension in the string) so all I have to do is find u. I'm unsure however how plotting the above relation will give me the value for u using various frequencies. 2. Relevant equations f = n/2L[sqrt(F/u)] where: f = frequency (hz) n = integer such as 1, 2, 3 L = length such as 0.100 m F = Force of tension on the rope in N (mass*gravity) u = Linear mass density (kg/m or mass/length of rope) 3. The attempt at a solution Rearranging the equation, I'm guessing u would be the slope in the relation above. And the slope will equal 1/sqrtu ? Also how many graphs should I draw if I have a changing value for n, L, and F? Would it be a seperate graph for each different value of L and F?
If I fix sqrtF/2L then can I use n (harmonics) for the x values? Also, would the slope of the graph equal 1/u?