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L Question 3 The period of a clock pendulum T is given by the equation T = 2π₁ where the constant L is the 9 length of the pendulum and g is the acceleration due to gravity. The period of the clock pendulum varies slightly depending on where it is located on earth's surface, due to small changes in g. (a) If g increases, will T increase or decrease? Does this correspond to the clock speeding up or slowing down? Explain your reasoning. (b) Find the linear approximation for T(g) centered at g = 980 cm/sec², if the length of the pendulum is 400 cm. (c) When a clock with a 400 cm pendulum is moved from a location where g = 980 cm/sec² to a new location, its period increases by .001 sec. Estimate the amount by which g changes and approximate the value of g at the new location.

L Question 3 The period of a clock pendulum T is given by the equation T = 2π₁ where the constant L is the 9 length of the pendulum and g is the acceleration due to gravity. The period of the clock pendulum varies slightly depending on where it is located on earth's surface, due to small changes in g. (a) If g increases, will T increase or decrease? Does this correspond to the clock speeding up or slowing down? Explain your reasoning. (b) Find the linear approximation for T(g) centered at g = 980 cm/sec², if the length of the pendulum is 400 cm. (c) When a clock with a 400 cm pendulum is moved from a location where g = 980 cm/sec² to a new location, its period increases by .001 sec. Estimate the amount by which g changes and approximate the value of g at the new location.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 70E
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HELP URGENT please answer a, b, and c!!!

L Question 3 The period of a clock pendulum T is given by the equation T = 2π₁ where the constant L is the g length of the pendulum and g is the acceleration due to gravity. The period of the clock pendulum varies slightly depending on where it is located on earth's surface, due to small changes in 9. (a) If g increases, will T increase or decrease? Does this correspond to the clock speeding up or slowing down? Explain your reasoning. (b) Find the linear approximation for T(g) centered at g = is 400 cm. 980 cm/sec², if the length of the pendulum (c) When a clock with a 400 cm pendulum is moved from a location where g = 980 cm/sec² to a new location, its period increases by .001 sec. Estimate the amount by which g changes and approximate the value of g at the new location.
Transcribed Image Text:L Question 3 The period of a clock pendulum T is given by the equation T = 2π₁ where the constant L is the g length of the pendulum and g is the acceleration due to gravity. The period of the clock pendulum varies slightly depending on where it is located on earth's surface, due to small changes in 9. (a) If g increases, will T increase or decrease? Does this correspond to the clock speeding up or slowing down? Explain your reasoning. (b) Find the linear approximation for T(g) centered at g = is 400 cm. 980 cm/sec², if the length of the pendulum (c) When a clock with a 400 cm pendulum is moved from a location where g = 980 cm/sec² to a new location, its period increases by .001 sec. Estimate the amount by which g changes and approximate the value of g at the new location.
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