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The time constant is a measure of how quickly the amplitude of a system's response decays. It is typically determined by a combination of the system's damping coefficient and natural frequency. The exact formula for calculating the time constant would depend on the specifics of the system being considered.
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What happens to the time period of simple harmonic motion when its amplitude is doubled?
When the amplitude of simple harmonic motion is doubled, the time period remains the same. The time period of simple harmonic motion only depends on the mass and spring constant of the system, not the amplitude.
What is the differences between damped and undamped oscillations?
damped vibrations:in damped vibrations the amplitude of the signal decreases with respect to timeundamped vibrationsin undamped vibrations the amplitude of the signal remains constant with respect to time
Does the frequency change when you increase the amplitude of a wave?
No, increasing the amplitude of a wave does not change its frequency. Frequency is determined by the number of complete oscillations or cycles of the wave that occur in a given time period, and this remains constant regardless of the wave's amplitude.
What is the phase constant and how does it relate to the behavior of a wave?
The phase constant is a measure of the position of a wave at a specific point in time. It determines the starting point of a wave and how it evolves over time. The phase constant affects the amplitude and frequency of a wave, influencing its behavior and characteristics.
How does the energy of a wave depend on its frequency if the amplitude stays constant?
The energy of a wave is directly proportional to its frequency, given that the amplitude remains constant. This relationship is a consequence of the wave's energy being distributed across more wave cycles per unit time at higher frequencies. Consequently, higher frequency waves carry more energy per unit time compared to lower frequency waves with the same amplitude.
What happens to the time period of simple harmonic motion when its amplitude is doubled?
When the amplitude of simple harmonic motion is doubled, the time period remains the same. The time period of simple harmonic motion only depends on the mass and spring constant of the system, not the amplitude.
Distinguish between a.c and d.c?
A DC stands for DIRECT CURRENT. DIRECT CURRENT and VOLTAGE has constant amplitude at all time, hence there is no variations in its amplitude and has zero frequency. While the AC stands for Alternating current, which means the voltage and current varies with time. It has different Amplitude at different time. Due to variation it has some constant frequency, which is normally 50 or 60 Hz.
What is the differences between damped and undamped oscillations?
damped vibrations:in damped vibrations the amplitude of the signal decreases with respect to timeundamped vibrationsin undamped vibrations the amplitude of the signal remains constant with respect to time
Why the amplitude doesn't depend on frequency and time period?
The amplitude of a wave is determined by the energy of the wave, which is not affected by the frequency or time period. The frequency and time period of a wave only determine how many cycles occur in a given time frame, not the strength of each individual cycle. Therefore, the amplitude remains constant regardless of the frequency or time period.
Does the frequency change when you increase the amplitude of a wave?
No, increasing the amplitude of a wave does not change its frequency. Frequency is determined by the number of complete oscillations or cycles of the wave that occur in a given time period, and this remains constant regardless of the wave's amplitude.
What is the phase constant and how does it relate to the behavior of a wave?
The phase constant is a measure of the position of a wave at a specific point in time. It determines the starting point of a wave and how it evolves over time. The phase constant affects the amplitude and frequency of a wave, influencing its behavior and characteristics.
How does the energy of a wave depend on its frequency if the amplitude stays constant?
The energy of a wave is directly proportional to its frequency, given that the amplitude remains constant. This relationship is a consequence of the wave's energy being distributed across more wave cycles per unit time at higher frequencies. Consequently, higher frequency waves carry more energy per unit time compared to lower frequency waves with the same amplitude.
If speed is constant but the time of the travel ends up being less what must have happened to the distance traveled?
. The distance decreased.
How does the amplitude of oscillation of a pendulum varies with time?
The change of amplitude affects the time of one cycle of a pendulum if the amplitude is big. In such a case, time increases as amplitude increases. In the case of a small amplitude, the time is very slightly affected by amplitude and is considered negligible.
Does the time period of oscillation depend on the displacement from the equilibrium position?
As long as angular amplitude is kept small, the period does not depend on the angular amplitude of the oscillation. It is simply dependent on the weight. It should be noted that to some extent period actually does depend on the angular amplitude and if it gets too large, the effect will become noticeable.
Write the equation to represent a damped oscillation?
(Amplitude)at time=t = (Max) x cos[ (2 pi x frequency) + (phase angle) ] x e-time/time constant
Is an electric field associated with an electromagnetic wave constant in time?
No, the electric field oscillates in magnitude and direction as it propagates in the electromagnetic wave.
