Answered: When the length L of aclock pendulum is…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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When the length L of a
clock pendulum is held constant by controlling its temperature,
the pendulum’s period T depends on the acceleration of gravity g.
The period will therefore vary slightly as the clock is moved from
place to place on Earth’s surface, depending on the change in g.
By keeping track of DELTA T, we can estimate the variation in g from
the equation T = 2π(L/g)1/2 that relates T, g, and L. If g increases, will T increase or decrease? Will a pendulum
clock speed up or slow down? Explain.

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