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How does period and the frequency of a vibration or a wave relate to each other?
Wiki User
∙ 13y ago
The frequency of a vibration or wave is the number of cycles per second, while the period is the time it takes for one complete cycle. They are inversely related: frequency is the reciprocal of the period, meaning as the frequency increases, the period decreases, and vice versa. Mathematically, frequency = 1 / period.
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Is resonance and forced vibration same?
Resonance occurs when the natural frequency of a system matches the frequency of an external vibration, causing it to oscillate with increased amplitude. Forced vibration, on the other hand, occurs when a system is subjected to an external force or vibration at a frequency different from its natural frequency. While resonance is a specific case of forced vibration, not all forced vibrations lead to resonance.
How do you find period of frequency?
The period of a frequency is calculated by taking the reciprocal of the frequency. In other words, period = 1 / frequency. This means that the period represents the time it takes for one complete cycle of a waveform at a given frequency.
What are free forced and damped vibration?
Free vibration occurs when a system oscillates without external forces after an initial disturbance, following its natural frequency. Forced vibration is when vibrations are induced by an external force, typically at a frequency different from the natural frequency of the system. Damped vibration is when energy is dissipated from the system over time, typically through friction or other forms of resistance.
What will the frequency of a wave do if the period of the wave increases?
If the period of a wave increases, the frequency of the wave will decrease. This is because frequency and period are inversely proportional, meaning that as one increases, the other decreases.
If the period of a wave decreases its frequency must?
Period and frequency are inverse to each other, as period increases frequency decreases. So, to answer this question as the period of the wave decreases its frequency must increase.
How do frequency and period relate to each other?
Frequency and period are mutual reciprocals.
Is resonance and forced vibration same?
Resonance occurs when the natural frequency of a system matches the frequency of an external vibration, causing it to oscillate with increased amplitude. Forced vibration, on the other hand, occurs when a system is subjected to an external force or vibration at a frequency different from its natural frequency. While resonance is a specific case of forced vibration, not all forced vibrations lead to resonance.
How do you calculate the period of a wave of frequency 75 Hz?
The period is the reciprocal of the frequency, in other words, one divide by the frequency. If the frequency is in Hertz, the period is in seconds.
What is the frequency of a sine wave period of 0.1 seconds?
The frequency is the reciprocal of the period. In other words, divide 1 by the period. If the period is in seconds, the frequency is in hertz.
How do you find period of frequency?
The period of a frequency is calculated by taking the reciprocal of the frequency. In other words, period = 1 / frequency. This means that the period represents the time it takes for one complete cycle of a waveform at a given frequency.
What happens to period when frequency increase?
As frequency increases, the period decreases. This relationship is inverse, meaning that a higher frequency corresponds to a shorter period. Mathematically, the period is the reciprocal of the frequency, so as one increases, the other decreases.
What are free forced and damped vibration?
Free vibration occurs when a system oscillates without external forces after an initial disturbance, following its natural frequency. Forced vibration is when vibrations are induced by an external force, typically at a frequency different from the natural frequency of the system. Damped vibration is when energy is dissipated from the system over time, typically through friction or other forms of resistance.
What is the relationship between frequency and period?
Time period = 1 / frequency. Frequency = 1 / time period.
What will the frequency of a wave do if the period of the wave increases?
If the period of a wave increases, the frequency of the wave will decrease. This is because frequency and period are inversely proportional, meaning that as one increases, the other decreases.
If the period of a wave decreases its frequency must?
Period and frequency are inverse to each other, as period increases frequency decreases. So, to answer this question as the period of the wave decreases its frequency must increase.
How does the frequency of a wave changes when the period of the increases?
The frequency of a wave is inversely proportional to its period. This means that as the period of the wave increases, the frequency decreases. Mathematically, the relationship between frequency (f) and period (T) is f = 1/T.
What is relation between prriod and frequency?
The period of a wave is the time it takes for one complete cycle to occur, while the frequency is the number of cycles that occur in one second. The relationship between period and frequency is that they are reciprocals of each other: frequency = 1 / period and period = 1 / frequency. This means that as the period increases, the frequency decreases, and vice versa.
