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

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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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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