OTHER APPLICATIONS
Length of a Pendulum. A simple pendulum swings back and forth in regular time intervals. Grandfather clocks use pendulums to keep accurate time. The relationship between the length of a pendulum L and the period (time) T for one complete oscillation can be expressed by the function
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a. Find the value of
b. Use a graphing calculator to plot the data in the table and to graph the function
c. Use the best fitting function from part a to predict the period of a pendulum having a length of
d. If the length of the pendulum doubles, what happens to the period?
e. If you have a graphing calculator or computer program with a quadratic regression feature, use it to find a quadratic function that approximately fits the data. How does this answer compare with the answer to part b.
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Calculus For The Life Sciences
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