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How does the length of the string affect the period of the pendulum?
Wiki User
∙ 14y ago
Well compare a pendulum with swing. If the swing length is short, you will quickly return back to your middle position. Similarly
in a pendulum if you have a long string, the time take to complete one swing will be more. This means Time period is directly proportional to the increase in length . But by various experiments, they have found that T Is proportional to sq root of length.
T = 2pi sq root of (length /g)
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RK B
Wiki User
∙ 14y agoThe period of a pendulum is given by the formula T = 2 * pi * sqrt(l / g),
where l is the length of the string, and g is about 9.81 m/s-2 .
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What is the period of a 25 kg pendulum with a length of 45 m?
A simple pendulum with a length of 45m has a period of 13.46 seconds. If the string is weightless, then the mass of the bob has no effect on the period, i.e. it doesn't matter.
Does changing the mass of the pendulum affect the number of swings?
No. Only the length of the string and the value of g does.
How does the length of a string affect the time taken to swing a pendulum?
yes! it definitely depends on the length of the string.when the string is long it takes more time unlike when the string is short it takes lesser time........
How does the pendulum get affected by the length of string?
The shorter the string - the faster the oscillation.
How does the length of a string affect the number Of times a pendulum will swing back and fourth in 10 seconds?
Yes. Period proportional to (Length)-2 is the fundamental property of the pendulum. The formula for the Period (1 complete swing), T, for a pendulum of length L is: T = 2*pi sqrt (L/g) (Oh for a library of symbols to avoid computer-code abbreviations!) T is in seconds, L in metres, g, the acceleration due to gravity, = 9.8m/s2 So for a given length, it is easy to work out the number of complete swings in 1 minute.
In simple pendulum if string is flexible then what is effect on time period?
multiply the length of the pendulum by 4, the period doubles. the period is proportional to the square of the pendulum length.
How is frequency of a pendulum related to the length of the pendulum string?
The period of the pendulum is (somewhat) inversely proportional to the square root of the length. Therefore, the frequency, the inverse of the period, is (somewhat) proportional to the square root of the length.
What is the period of a 25 kg pendulum with a length of 45 m?
A simple pendulum with a length of 45m has a period of 13.46 seconds. If the string is weightless, then the mass of the bob has no effect on the period, i.e. it doesn't matter.
What controls the period of a pendulum?
For a simple pendulum, consisting of a heavy mass suspended by a string with virtually no mass, and a small angle of oscillation, only the length of the pendulum and the force of gravity affect its period. t = 2*pi*sqrt(l/g) where t = time, l = length and g = acceleration due to gravity.
Does changing the mass of the pendulum affect the number of swings?
No. Only the length of the string and the value of g does.
How does the length of a string affect the time taken to swing a pendulum?
yes! it definitely depends on the length of the string.when the string is long it takes more time unlike when the string is short it takes lesser time........
Explain how the length of a string affects the motion of a simple pendulum?
You mean the length? We can derive an expression for the period of oscillation as T = 2pi ./(l/g) Here l is the length of the pendulum. So as length is increased by 4 times then the period would increase by 2 times.
How does the pendulum get affected by the length of string?
The shorter the string - the faster the oscillation.
How does a pendulums period vary with the length of its mass With Gravitational acceleration?
The length of the pendulum is measured from the pendulum's point of suspension to the center of mass of its bob. Its amplitude is the string's angular displacement from its vertical or its equilibrium position.
What is the relationship between the length of the string of a pendulum and the number of swings?
There's no relationship between the length of the pendulum and the number of swings.However, a shorter pendulum has a shorter period, i.e. the swings come more often.So a short pendulum has more swings than a long pendulum has in the same amountof time.
What variable might affect the number of cycles the pendulum makes in fifteen seconds?
The period of the pendulum can be influenced by the local magnitude of gravity, by the length of the string, and by the density of the material in the swinging rod (which influences the effective length).It's not affected by the weight of the bob, or by how far you pull it to the side before you let it go.
What affects a pendulum?
The mass of the pendulum, the length of string, and the initial displacement from the rest position.
