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What do you do to the length of a pendulum to double its angular frequency?
Kasiejade
Let us go step by step
Period = 2 pi ./l/g
Or frequency = 1/2pi * ./g/l
Or 2 pi frequency = angular frequency = ./g/l
As we reduce the length by 4 times i.e 1/4 l then we have angular frequency doubled.
Hence reduce the length to 0.25 l
Wiki User
∙ 7y ago
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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 frequency of a pendulum vary with its length?
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 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
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 frequency of a pendulum vary with its length?
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 are the factor affecting on the simple pendulum?
The factors affecting a simple pendulum include the length of the string, the mass of the bob, the angle of displacement from the vertical, and the acceleration due to gravity. These factors influence the period of oscillation and the frequency of the pendulum's motion.
A simple pendulum has a frequency of oscillation f In order to double f the length of the pendulum should be?
To double the frequency of oscillation of a simple pendulum, you would need to reduce the length by a factor of four. This is because the frequency of a simple pendulum is inversely proportional to the square root of the length. Mathematically, f = (1 / 2π) * √(g / L), so doubling f requires reducing L by a factor of four.
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 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 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 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.
