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The popular formula for the period of a pendulum works only for small angular displacements. In deriving it, you need to assume that theta, the angular displacement from the vertical, measured in radians, is equal to sin(theta). If not, you need to make much more complicated calculations. There are also other assumptions to simplify the formula - eg string is weightless.
The swing of the pendulum will precess with the rotation of the earth. This may not work if the pendulum hits its stand! See Foucault's Pendulum (see link).
The motion of the pendulum will die out as a result of air resistance.
Thermal expansion can change the length of the pendulum and so its period.
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∙ 12y ago
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What is a limitations to a simple pendulum?
One limitation of a simple pendulum is that it assumes the string or rod to be massless and rigid, which may not always be the case in real-world situations. Additionally, the simple pendulum formula assumes small amplitudes of swing, so it may not accurately predict the behavior of large swings. Friction and air resistance can also affect the motion of a simple pendulum, introducing further limitations.
Why a compound pendulum is called equivalent simple pendulum?
Compound pendulum is a physical pendulum whereas a simple pendulum is ideal pendulum. The difference is that in simple pendulum centre of mass and centre of oscillation are at the same distance.
Why a compound pendulum is called an equivalent simple pendulum?
A compound pendulum is called an equivalent simple pendulum because its motion can be approximated as that of a simple pendulum with the same period. This simplification allows for easier analysis and calculation of its behavior.
Differences between compound pendulum and simple pendulum?
Compound pendulum is a physical pendulum whereas a simple pendulum is ideal pendulum. The difference is that in simple pendulum centre of mass and centre of oscillation are at the same distance.
When will the motion of simple pendulum be shm?
The motion of a simple pendulum will be simple harmonic when the angle of displacement from the vertical is small (less than 10 degrees) and the amplitude is also small.
What is a limitations to a simple pendulum?
One limitation of a simple pendulum is that it assumes the string or rod to be massless and rigid, which may not always be the case in real-world situations. Additionally, the simple pendulum formula assumes small amplitudes of swing, so it may not accurately predict the behavior of large swings. Friction and air resistance can also affect the motion of a simple pendulum, introducing further limitations.
Is oscillation of compound pendulum or simple pendulum is perfectly simple harmonic motion?
A simple pendulum exhibits simple harmonic motion
Why a compound pendulum is called equivalent simple pendulum?
Compound pendulum is a physical pendulum whereas a simple pendulum is ideal pendulum. The difference is that in simple pendulum centre of mass and centre of oscillation are at the same distance.
Why a compound pendulum is called an equivalent simple pendulum?
A compound pendulum is called an equivalent simple pendulum because its motion can be approximated as that of a simple pendulum with the same period. This simplification allows for easier analysis and calculation of its behavior.
What are difference between simple pendulum and compound pendulum?
A simple pendulum has one piece that swings. A complex pendulum has at least two swinging parts, attached end to end. A simple pendulum is extremely predictable, while a complex pendulum is virtually impossible to accurately predict.
Give three applications of simple pendulum in your daily life?
applications of simple pendulum
What is the significance of the simple pendulum?
The simple pendulum can be used to determine the acceleration due to gravity.
What kind of pendulum is playground swing?
A simple pendulum.
Differences between compound pendulum and simple pendulum?
Compound pendulum is a physical pendulum whereas a simple pendulum is ideal pendulum. The difference is that in simple pendulum centre of mass and centre of oscillation are at the same distance.
What is the difference between coupled pendulum and simple pendulum?
simple pendulum center of mass and center of oscillation are at the same distance.coupled pendulum is having two bobs attached with a spring.
When will the motion of simple pendulum be shm?
The motion of a simple pendulum will be simple harmonic when the angle of displacement from the vertical is small (less than 10 degrees) and the amplitude is also small.
What factors determine the time period of the simple pendulum?
The time period of a simple pendulum is determined by the length of the pendulum, the acceleration due to gravity, and the angle at which the pendulum is released. The formula for the time period of a simple pendulum is T = 2π√(L/g), where T is the time period, L is the length of the pendulum, and g is the acceleration due to gravity.
