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
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 67E
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Question
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe70156d-6630-4fa1-bd10-160edc6ae6ae%2F26c71bad-1ea4-4c8e-b49a-3e6675e3e521%2Fzkz6py_processed.png&w=3840&q=75)
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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