The amount of time it takes for a pendulum to swing “to-and-fro” through one complete cycle is called the “period” and is calculated using the following equation: T = 2 π L g  where T = period in seconds L  = length of pendulum g = gravitational acceleration,  9.8  m/s2 What is the appropriate unit for L if the preceding equation is to be homogeneous in units?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter1: Equations And Graphs
Section1.10: Modeling Variation
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The amount of time it takes for a pendulum to swing “to-and-fro” through one complete cycle
is called the “period” and is calculated using the following equation:
T = 2 π L g 
where
T = period in seconds
L  = length of pendulum
g = gravitational acceleration,  9.8  m/s2
What is the appropriate unit for L if the preceding equation is to be homogeneous in units?

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