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course PHY 241
450pm 10/15/2011
Randomized Assignment 2 Problem 2 For a certain pendulum, periods of T = .91, 1.291681, 1.58539 and 1.83345 seconds are observed for respective lengths L = 7, 14, 21 and 28 units.
Determine whether the transformation T -> T2 or T -> T3 linearizes the function better.
Obviously the higher order polynomial will fit the curve better. T -> T3 linearizes the function better.
Determine the equation of the resulting straight line, and solve the equation for T.
y = 22.626x - 14.293
Use your equation to determine the period of a pendulum whose length is 51.19815 units.
51.19815 = 22.626x - 14.293
x = 2.894 seconds
Use your equation to determine the length of a pendulum whose period is 2.424873 seconds.
y = 22.626x - 14.293
y= 22.626 * (2.424873) - 14.293 = 40.572 units"
&#Very good work. Let me know if you have questions. &#