AP Physics--Graphing

More documents

Recommendations

Info

<strong>Graphing</strong> AssignmentDue July 6, 2012PROBLEM 5As a final problem, you will analyze data for simple harmonic motion involving a simple pendulum. Answer thequestions based on the results you obtain by using your graphing calculator.Data TablePart I AmplitudeAmplitude (°)2 1.972Average period (s)5 1.97510 1.97920 1.98430 2.015Part II LengthLength (cm)Average period (s)50 1.45160 1.52470 1.65380 1.78590 1.895100 1.993Part III MassMass (g)Average period (s)100 1.973200 1.997300 1.993Analysis1. Using TI-89 Calculator, plot a graph of pendulum period vs. amplitude in degrees.a. Using “PowerReg” instead of “LinReg”, rounding to 1 significant figure, determine the exponent“b” to which “x” is raised. For example, 0.004 rounds to zero; therefore, y = ax 0 . Likewise, 2.101rounds to 2 (meaning squared) and 0.510 rounds to 0.5 (meaning square root).b. What is the equation for Period vs. Amplitude according to the Power Regression?c. Does the period depend on amplitude? Explain.6
<strong>Graphing</strong> AssignmentDue July 6, 20122. Using TI-89 Calculator, plot a graph of pendulum period T vs. length .a. Using “PowerReg” instead of “LinReg”, rounding to 1 significant figure, determine the exponent“b” to which “x” is raised.b. What is the equation for Period vs. Length according to the Power Regression?c. Does the period appear to depend on length?3. Using TI-89 Calculator, plot the pendulum period vs. mass.a. Using “PowerReg” instead of “LinReg”, rounding to 1 significant figure, determine the exponent“b” to which “x” is raised.b. What is the equation for Period vs. Mass according to the Power Regression?c. Does the period appear to depend on mass? Do you have enough data to answer conclusively?4. To examine more carefully how the period T depends on the pendulum length , create the following twoadditional graphs of the same data: T 2 vs. and T vs. 2 .a. T 2 vs. : Using “PowerReg” instead of “LinReg”, rounding to 1 significant figure, determine theexponent “b” to which “x” is raised.b. T 2 vs. : What is the equation according to the Power Regression?c. T vs. 2 : Using “PowerReg” instead of “LinReg”, rounding to 1 significant figure, determine theexponent “b” to which “x” is raised.d. T vs. 2 : What is the equation according to the Power Regression?5. Using Newton’s laws, we could show that for some pendulums, the period T is related to the length andfree-fall acceleration g byT 2gT2 4g27
Page 2 and 3: Graphing AssignmentDue July 6, 2012
Page 4 and 5: Graphing AssignmentDue July 6, 2012
Page 8: Graphing AssignmentDue July 6, 2012

AP Physics--Graphing

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?