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PhysicsCollege PhysicsThe period of a simple pendulum, defined as the time necessary for one complete oscillation, is measured in time units and is given by T = 2π l g where ℓ is the length of the pendulum and g is the acceleration due to gravity, in units of length divided by time squared. Show that this equation is dimensionally consistent. (You might want to check the formula using your keys at the end of a string and a stopwatch.)BuyFind*arrow_forward*

11th Edition

Raymond A. Serway + 1 other

Publisher: Cengage Learning

ISBN: 9781305952300

Chapter 1, Problem 1P

Textbook Problem

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The period of a simple pendulum, defined as the time necessary for one complete oscillation, is measured in time units and is given by

where *ℓ* is the length of the pendulum and *g* is the acceleration due to gravity, in units of length divided by time squared. Show that this equation is dimensionally consistent. (You might want to check the formula using your keys at the end of a string and a stopwatch.)

Expert Solution

To determine

The dimensional consistency of the time period equation

The formula to calculate the consistency of a dimension is,

Here,

Substitute

College Physics

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