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What is the relationship between the steady state amplitude of forced oscillation and the driving frequency in a mechanical system?
The relationship between the steady state amplitude of forced oscillation and the driving frequency in a mechanical system is that the amplitude of the oscillation increases as the driving frequency approaches the natural frequency of the system. This phenomenon is known as resonance. At resonance, the system absorbs more energy from the driving force, causing the amplitude of the oscillation to be at its maximum.
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What is the relationship between the torque of a pendulum and its oscillation frequency?
The relationship between the torque of a pendulum and its oscillation frequency is that the torque affects the period of the pendulum, which in turn influences the oscillation frequency. A higher torque will result in a shorter period and a higher oscillation frequency, while a lower torque will lead to a longer period and a lower oscillation frequency.
What happens to to the frequency of a swing as its oscillation die from large amplitude to small?
As a swing's oscillation dies down from large amplitude to small, the frequency remains constant. The frequency of a pendulum swing is determined by its length and gravitational acceleration, so as long as these factors remain constant, the frequency will not change.
What is the equation for calculating the velocity amplitude in a given system?
The equation for calculating the velocity amplitude in a given system is V A, where V is the velocity amplitude, A is the amplitude of the oscillation, and is the angular frequency of the system.
Do the energy of a mechanical wave depends on the frequency of the wave?
No, the energy of a mechanical wave does not depend on the frequency of the wave. The energy of a mechanical wave is related to its amplitude, which is the magnitude of the wave's displacement from equilibrium. Frequency affects the pitch of the sound wave, but not its energy.
Relationship between period and amplitude of a wave?
The amplitude of a sound is not related to its frequency (wavelength).There might appear to be a connection if the listener's hearing is more or less sensitive to certain frequencies. For example, as a sound with constant amplitude rises in frequency toward the upper limit of the listener's hearing range, it will be perceived as if its amplitude (loudness) is dropping, although that sensation is in the ear of the beholder and not a property of the sound itself.
What is the relationship between the torque of a pendulum and its oscillation frequency?
The relationship between the torque of a pendulum and its oscillation frequency is that the torque affects the period of the pendulum, which in turn influences the oscillation frequency. A higher torque will result in a shorter period and a higher oscillation frequency, while a lower torque will lead to a longer period and a lower oscillation frequency.
What happens to to the frequency of a swing as its oscillation die from large amplitude to small?
As a swing's oscillation dies down from large amplitude to small, the frequency remains constant. The frequency of a pendulum swing is determined by its length and gravitational acceleration, so as long as these factors remain constant, the frequency will not change.
Does frequency depend on amplitude for harmonic oscillators?
No, the frequency of a harmonic oscillator does not depend on its amplitude. The frequency is determined by the properties of the system, such as mass and spring constant, and remains constant regardless of the amplitude of the oscillation.
What is the equation for calculating the velocity amplitude in a given system?
The equation for calculating the velocity amplitude in a given system is V A, where V is the velocity amplitude, A is the amplitude of the oscillation, and is the angular frequency of the system.
Do the energy of a mechanical wave depends on the frequency of the wave?
No, the energy of a mechanical wave does not depend on the frequency of the wave. The energy of a mechanical wave is related to its amplitude, which is the magnitude of the wave's displacement from equilibrium. Frequency affects the pitch of the sound wave, but not its energy.
Relationship between period and amplitude of a wave?
The amplitude of a sound is not related to its frequency (wavelength).There might appear to be a connection if the listener's hearing is more or less sensitive to certain frequencies. For example, as a sound with constant amplitude rises in frequency toward the upper limit of the listener's hearing range, it will be perceived as if its amplitude (loudness) is dropping, although that sensation is in the ear of the beholder and not a property of the sound itself.
How does increased frequancy affect amplitude?
Increasing frequency does not directly affect amplitude in a linear way. However, in some systems, particularly mechanical or electrical ones, resonance may occur at specific frequencies, causing an increase in amplitude. This phenomenon is due to the system being driven at its natural frequency, resulting in larger oscillations.
How do you find the velocity of a mass at half the amplitude?
To find the velocity of a mass at half the amplitude of its oscillation, you can use the formula for the velocity in simple harmonic motion: v = ω√(A^2 - x^2), where ω is the angular frequency, A is the amplitude of the oscillation, and x is the displacement from equilibrium. At half the amplitude, x = A/2, so plug this into the formula to calculate the velocity.
What is the time period of each oscillation?
The time period of each oscillation is the time taken for one complete cycle of the oscillation to occur. It is typically denoted as T and is measured in seconds. The time period depends on the frequency of the oscillation, with the relationship T = 1/f, where f is the frequency of the oscillation in hertz.
If the amplitude of a system moving in simple harmonic motion is doubled which quantity associated with it does not change?
If the amplitude of a system in simple harmonic motion is doubled, the frequency of the oscillation remains unchanged. Frequency is determined by the system's mass and the spring constant, and increasing the amplitude does not affect these factors.
What is Amplitude resonance?
Amplitude resonance occurs when a system is driven at its natural frequency, leading to an increase in the amplitude of the system's response. This phenomenon occurs in various systems such as mechanical, electrical, and acoustic systems, where the driving frequency matches the natural frequency of the system.
What affect if any does frequency have on the amplitude of a wave?
The sound pressure amplitude tells about how loud the tone will be and the frequency (cycles per second) of the oscillation tells how high the sound of the tone will be. The amplitude gives the loudness of the tone: http://en.wikipedia.org/wiki/Loudness The frequency gives the pitch of the tone: http://en.wikipedia.org/wiki/Pitch_%28music%29
