dm208
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Hello all,
I have completed a lab for simple harmonic motion, with the goal of finding the constants B, n, and p in the equation T=B*k^n*m^p, where k is the spring constant and m is the mass.
I suppose this is more of a math question, because I already have two separate power regressions: one is y = 1.2787x^0.4742 (period [y] vs. mass [x]) and the other is y = 0.6854x^-0.4939 (period [y] vs. spring constant [x]).
I know that I now have n and p (which are both close to the actual values), but I'm having trouble finding B. I tried setting the above equations equal (to find the intersection), and substituting the x-value into T, the y-value into both k and m, and the powers above into n and p. Obviously something is very incorrect because I get nowhere near 2pi for B.
Any advice would be appreciated. Thanks in advance!
Dan.
I have completed a lab for simple harmonic motion, with the goal of finding the constants B, n, and p in the equation T=B*k^n*m^p, where k is the spring constant and m is the mass.
I suppose this is more of a math question, because I already have two separate power regressions: one is y = 1.2787x^0.4742 (period [y] vs. mass [x]) and the other is y = 0.6854x^-0.4939 (period [y] vs. spring constant [x]).
I know that I now have n and p (which are both close to the actual values), but I'm having trouble finding B. I tried setting the above equations equal (to find the intersection), and substituting the x-value into T, the y-value into both k and m, and the powers above into n and p. Obviously something is very incorrect because I get nowhere near 2pi for B.
Any advice would be appreciated. Thanks in advance!
Dan.