RandomProbAssign2-2

course 231

2/11; 5:45pm

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.

T to T3.

• Determine the equation of the resulting straight line, and solve the equation for T.

T = .0438L + .6

• Use your equation to determine the period of a pendulum whose length is 51.19815 units.

T = .0438(51.2) + .6 = 2.84s

• Use your equation to determine the length of a pendulum whose period is 2.424873 seconds.

2.42s = .0438x + .6

1.82s = .0438x

X = 41.6 units

&#At least part of your solution does not agree with the solution and comments given at the link below. You should view the solution at that link and self-critique as indicated there.

Solution

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