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How does frequency of a pendulum vary with its length?

Anonymous

∙ 10y ago

Updated: 12/8/2022

The frequency of a pendulum is inversely proportional to the square root of its length.

Wiki User

∙ 10y ago

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Q: How does frequency of a pendulum vary with its length?

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How does the frequency vary with the length of a pendulum?

The frequency of a pendulum varies with the square of the length.

How does the length of a pendulum affect the frequency?

A longer pendulum will have a smaller frequency than a shorter pendulum.

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 length of a pendulum that oscillates with a frequency of 0.16 Hz?

9.7m

What are the relationships between the frequency of a simple pendulum and its mass amplitude and length?

The lower the frequency, the larger mass and longer length, The higher the frequency, the smaller the mass, and shorter the length.

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Related Questions

How does the frequency vary with the length of a pendulum?

The frequency of a pendulum varies with the square of the length.

How does the frequency vary with the length in case of a simple pendulum?

For relatively small oscillations, the frequency of a pendulum is inversely proportional to the square root of its length.

How does the length of a pendulum affect the frequency?

A longer pendulum will have a smaller frequency than a shorter pendulum.

How does mass affect pendulum frequency?

The frequency of a pendulum is not affected by its mass. The frequency is determined by the length of the pendulum and the acceleration due to gravity. A more massive pendulum will swing at the same frequency as a less massive one if they have the same length.

What happens to the frequency of a pendulum if you shorten the string?

If you shorten the length of the string of a pendulum, the frequency of the pendulum will increase. This is because the period of a pendulum is directly proportional to the square root of its length, so reducing the length will decrease the period and increase the frequency.

How does amplitude of a pendulum affect frequency?

The amplitude of a pendulum does not affect its frequency. The frequency of a pendulum depends on the length of the pendulum and the acceleration due to gravity. The period of a pendulum (which is inversely related to frequency) depends only on these factors, not on the amplitude of the swing.

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.

How do you reduce the frequency of oscillation of a simple pendulum?

You can reduce the frequency of oscillation of a simple pendulum by increasing the length of the pendulum. This will increase the period of the pendulum, resulting in a lower frequency. Alternatively, you can decrease the mass of the pendulum bob, which will also reduce the frequency of oscillation.

What is the formula for the angular frequency of a simple pendulum in terms of the acceleration due to gravity and the length of the pendulum?

The formula for the angular frequency () of a simple pendulum is (g / L), where g is the acceleration due to gravity and L is the length of the pendulum.

What does the frequency of a pendulum depend on?

The frequency of a pendulum depends on the length of the pendulum and the acceleration due to gravity. It is described by the equation f = 1 / (2π) * √(g / L), where f is the frequency, g is the acceleration due to gravity, and L is the length of the pendulum.

What happen to the frequency of a simple pendulum when its length is doubled?

When the length of a simple pendulum is doubled, the frequency of the pendulum decreases by a factor of √2. This relationship is described by the formula T = 2π√(L/g), where T is the period of the pendulum, L is the length, and g is the acceleration due to gravity.

What happens to a simple pendulum's frequency if both its length and mass are increased?

If both the length and mass of a simple pendulum are increased, the frequency of the pendulum will decrease. This is because the period of a pendulum is directly proportional to the square root of the length and inversely proportional to the square root of the mass. Therefore, increasing both the length and mass will result in a longer period and therefore a lower frequency.

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