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No0bzDown
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For a example, x=16cos(10t+5π/3) ,S.I.
How am i supposed to calculate the period?(in order to do the graph)
Thanks in advance
How am i supposed to calculate the period?(in order to do the graph)
Thanks in advance
No0bzDown said:If we have something like this: f(x) = cos(at)
then T= 2π/a
But i really want to know if on my first example 5π/3 is playing any role on this formula.
I mean if x=16cos(10t + 5π/3)
Is period still T = 2π/a = 2π/10 ?
A harmonic function is a mathematical function that satisfies the Laplace equation, which is a partial differential equation that describes the relationship between the values of a function at different points in space.
The period of a harmonic function is the length of time it takes for the function to repeat itself. It is the smallest positive value of t for which the function f(t) = f(t + T) for all values of t. In simpler terms, it is the length of one complete cycle of the function.
The period of a harmonic function can be calculated using the formula T = 2π/ω, where T is the period and ω is the angular frequency of the function. ω is equal to 2π times the frequency of the function, which is the number of cycles per unit time.
Angular frequency and frequency are related, but they are not the same thing. Frequency refers to the number of cycles per unit time, while angular frequency is the rate of change of an angle per unit time. Angular frequency is equal to 2π times the frequency of the function.
Calculating the period of a harmonic function is important in understanding the behavior and patterns of the function. It allows us to predict when the function will repeat itself and how it will change over time. This can have practical applications in fields such as physics, engineering, and economics.