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The lower the frequency, the larger mass and longer length,

The higher the frequency, the smaller the mass, and shorter the length.

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

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The amplitude of a pendulum is the distance between its equilibrium point and the farthest point that it reaches during each oscillation.

amplitude

Frequency is a metric for expressing the rate of oscillation in a wave. For planar and longitudinal waves, this often expressed in oscillations-per-second or Hz. Angular frequency used for expressing rates of rotation, similar to revolutions-per-second, and is usually expressed in radians-per-second. It can be thought of as a wave with a constant amplitude where the amplitude rotates in a circle in space. The two differ by factor of 2*Pi. Omega (angular frequency) = 2*Pi*f(frequency in Hz)

There's no mathematical connection between amplitude and frequency. Knowing one doesn't make it possible to calculate the other. High-pitched sounds can be loud or soft. So can low-pitched ones. It's a little bit like asking: If the car drove 240 miles today, what color is it ?

simple pendulum center of mass and center of oscillation are at the same distance.coupled pendulum is having two bobs attached with a spring.

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The amplitude of a pendulum is the distance between its equilibrium point and the farthest point that it reaches during each oscillation.

so...saying about acoustic waves for e.?amplitude influences loudness and frequency - pitch of tone

amplitude

The relationship between frequency and amplitude depends on the system being analyzed. In some systems, increasing frequency may result in an increase in amplitude (resonance), while in others it may decrease. Generally, higher frequencies can lead to higher amplitudes in resonant systems, while non-resonant systems may have a more complex relationship between frequency and amplitude.

Velocity of wave = frequency * wavelength (the universal wave equation does not involve amplitude) There is no direct relationship between the amplitude and the wavelength of a wave and therefore if the amplitude increases the wavelength will not necessarily change.

As the frequency increases, the amplitude of a wave remains constant if the system is linear. In non-linear systems, the amplitude may change as the frequency increases due to factors such as resonance or saturation effects.

Low pitch refers to the perceived frequency of a sound wave, while high pitch refers to a higher frequency. Amplitude, on the other hand, is the magnitude or intensity of a sound wave. A sound with high amplitude will be louder than one with low amplitude.

Holding mass and amplitude constant ensures that the only variable being changed is the length of the pendulum, allowing for a clear understanding of the relationship between length and period. If mass or amplitude were not held constant, these factors could influence the period of the pendulum, leading to inaccurate conclusions about the impact of length.

Actually the amplitude depends on your modulator by which you generated your signal you can pick any amplitude you want but here is the formula for frequency modulated signal: Ac here decide the amplitude of the signal and you can see that it is not related to the frequency component of your signal.

There's no dependence or connection between a wave's amplitude and its frequency.

Assuming an idealised pendulum with a small amplitude, both are examples of simple harmonic motion. That is, the second derivative of the curve is directly proportional to its displacement but in the opposite direction. If the amplitude (swing) of the pendulum is large or if the majority of its mass is not oi the "blob" the relationship is only approximate.

There's no connection between amplitude and frequency. Either one can change, and often does, with absolutely no effect on the other.