The time t in seconds that it takes for a pendulum to complete one full swing is given by the formula: t = 27√√ where L is the length of the arm of the pendulum in centimeters, and g is the acceleration due to gravity. Suppose a ball on a string, swinging like a pendulum, takes 2 seconds to complete one swing back and forth. If g = 680 cm/s², find L, the length of the string. (hint: Use the formula above and substitute all the given.)
The time t in seconds that it takes for a pendulum to complete one full swing is given by the formula: t = 27√√ where L is the length of the arm of the pendulum in centimeters, and g is the acceleration due to gravity. Suppose a ball on a string, swinging like a pendulum, takes 2 seconds to complete one swing back and forth. If g = 680 cm/s², find L, the length of the string. (hint: Use the formula above and substitute all the given.)
Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:3.) The time t in seconds that it takes for a pendulum to complete one full swing is given by
the formula: t =
2n 1
where L is the length of the arm of the pendulum in
centimeters, and g is the acceleration due to gravity.
Suppose a ball on a string, swinging like a pendulum, takes 2 seconds to complete one
swing back and forth. If g = 680 cm/s“, find L, the length of the string.
(hint: Use the formula above and substitute all the given.)
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