I\'m doing a lab on standing waves in a vibrating wire. I had to determine the t

Question

I'm doing a lab on standing waves in a vibrating wire. I had to determine the tension in the wire and the velocity. My data shows that as the tension goes up in the wire, the velocity decreases, which gives a negative slope on the graph ln v vs. ln T. Is this what the data should show? The equation (slope) was -0.3065x + 5.0611. Now, I also have to determine how this equation compares to the equation v=square root of T/mo (mass density). What is the meaning of the slope and y intercept?. I have to find the resuls and determine mo (mass density) for three different wires. How would I do this? I believe I am doing it wrong because I keep getting extremely big numbers for percent difference.

Explanation / Answer

according to the formula

V = speed of standing wave in wire = sqrt (T/m)                    T = tension , m = mass per unit length

from this formula we see that , as the tension T increases , the speed "V" should increase. so there is something wrong with the data since it is showing exactly opposite effect.

Slope is the angle the tangent to the curve makes with X-axis

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