3. A simple pendulum is a weight on the end of a string or rod, which when given an initial push, swings back and forth under the influence of gravity. The period T of a pendulum is the time taken for two swings (left to right and back again). The formula for the period is T = 27 dT (a) Find d g where is the length of the pendulum (in meters) and g is the acceleration due to gravity (in m/sec²). Note that g is a positive constant. lo zulev lie (b) When the length of the pendulum increases, does the period increase or decrease? Justify your answer. al beur nob

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 68E
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3. A simple pendulum is a weight on the end of a string or rod, which when
given an initial push, swings back and forth under the influence of gravity.
The period T of a pendulum is the time taken for two swings (left to right
and back again). The formula for the period is
T = 27
dT
(a) Find d
9
where is the length of the pendulum (in meters) and g is the acceleration
due to gravity (in m/sec2). Note that g is a positive constant.
lo zulev lie
(x)) (8)
(b) When the length of the pendulum increases, does the period increase
or decrease? Justify your answer.
(0)
al bar nob
Transcribed Image Text:3. A simple pendulum is a weight on the end of a string or rod, which when given an initial push, swings back and forth under the influence of gravity. The period T of a pendulum is the time taken for two swings (left to right and back again). The formula for the period is T = 27 dT (a) Find d 9 where is the length of the pendulum (in meters) and g is the acceleration due to gravity (in m/sec2). Note that g is a positive constant. lo zulev lie (x)) (8) (b) When the length of the pendulum increases, does the period increase or decrease? Justify your answer. (0) al bar nob
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