Period and angular frequency problem.

In summary, period and angular frequency are two related but distinct measures of a wave or oscillation. The period is the time it takes for one full cycle to occur, while angular frequency is a measure of how quickly the wave or oscillation cycles per unit time. The period can be calculated using the formula T = 1/f, where T is the period and f is the frequency. The period can change if the frequency changes, and the relationship between angular frequency and period is inversely proportional. Other factors such as amplitude and phase also play a role in determining the behavior of a wave or oscillation.
  • #1
0fibonacci1
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Homework Statement



If period of simple harmonic graph of electric current goes down by 20%, how will change the angular frequency?
Will it increase by 25π%? 25%? 50%?...

Homework Equations



T = 2π/ω


The Attempt at a Solution



So by going down by 20%, so 100%-20%, I have 80%*T=2π/ω. 0.8*T=2π/ω. 8T/10=2π/ω. 4T/5=2π/ω. ω=2π/T *(5/4) = 2π/T * 1.25
So by this, angular frequency increases by 25%?
 
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  • #2
Yes, it look like you got there in the end :smile:
 

Related to Period and angular frequency problem.

What is the difference between period and angular frequency?

The period of a wave or oscillation is the time it takes to complete one full cycle. It is usually measured in seconds. On the other hand, angular frequency is a measure of how quickly a wave or oscillation rotates or cycles per unit time. It is measured in radians per second.

How can I calculate the period of a wave or oscillation?

The period of a wave or oscillation can be calculated using the formula T = 1/f, where T is the period and f is the frequency. In other words, the period is equal to the inverse of the frequency.

Can the period of a wave or oscillation change?

Yes, the period of a wave or oscillation can change if the frequency changes. As the frequency increases, the period decreases and vice versa. However, the period remains constant if the frequency is constant.

What is the relationship between angular frequency and period?

The angular frequency and period are inversely proportional to each other. This means that as the angular frequency increases, the period decreases and vice versa. Mathematically, the relationship can be expressed as ω = 2π/T, where ω is the angular frequency and T is the period.

Are period and angular frequency the only factors that determine the behavior of a wave or oscillation?

No, there are other factors that can affect the behavior of a wave or oscillation, such as amplitude and phase. The amplitude is the maximum displacement of a wave from its equilibrium position, while the phase is the position of a wave within its cycle. These factors, along with period and angular frequency, determine the overall characteristics of a wave or oscillation.

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