Period of a pendulum The period P of a simple pendulum- that is, the time required for one complete oscillation-is directly proportional to the square root of its length I. (a) Express P in terms of I and a constant of propor- tionality k. (b) If a pendulum 2 feet long has a period of 1.5 seconds, find the value of k in part (a). (c) Find the period of a pendulum 6 feet long.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Period of a pendulum The period P of a simple pendulum-
that is, the time required for one complete oscillation-is
directly proportional to the square root of its length I.
(a) Express P in terms of I and a constant of propor-
tionality k.
(b) If a pendulum 2 feet long has a period of 1.5 seconds,
find the value of k in part (a).
(c) Find the period of a pendulum 6 feet long.
Transcribed Image Text:Period of a pendulum The period P of a simple pendulum- that is, the time required for one complete oscillation-is directly proportional to the square root of its length I. (a) Express P in terms of I and a constant of propor- tionality k. (b) If a pendulum 2 feet long has a period of 1.5 seconds, find the value of k in part (a). (c) Find the period of a pendulum 6 feet long.
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