A step-by-step guide to calculating the Amplitude of the given equation.
Step 1: Understand the definition of Amplitude
Amplitude is the measure of maximum deviation of a function from its mean value. In the case of a sine or cosine wave, this maximum deviation is half the peak-to-peak (p-p) amplitude of the wave. If a sine or cosine wave represents an oscillation between A and B, its amplitude will be A–B.
Step 2: Break down the equation
In the equation y=5sin(1/) , y is the amplitude, 5 is the maximum value of the oscillation, and the 1/ is the frequency. To calculate the amplitude of y, we need to find the difference between the maximum value and the minimum value of the curve (or oscillation).
Step 3: Calculate the Amplitude
To calculate the amplitude, we need to calculate the difference between the maximum and minimum values of the function.
Let Ymax be the maximum value and Ymin be the minimum value of the equation.
The Amplitude, y:
Y = Ymax – Ymin
Plugging in the values from our equation:
y = 5 – (-5) = 10
Therefore, the amplitude of the equation y=5sin(1/) is 10.
FAQ
How do I calculate the amplitude of a sine wave?
The amplitude of a sine wave is the measure of the maximum deviation of the wave from its mean value. To calculate the amplitude, you need to find the difference between the maximum and minimum values of the wave.
What is the formula for calculating amplitude?
The formula for calculating amplitude is y=Ymax – Ymin, where Ymax is the maximum value of the oscillation and Ymin is the minimum value.
How do I calculate amplitude from an equation?
To calculate the amplitude from an equation, you need to plug in the values from the equation to the formula y=Ymax – Ymin.
How do I calculate the amplitude of a cosine wave?
The amplitude of a cosine wave is the same as a sine wave. The difference will be in the maximum and minimum values of the wave, which will depend on the equation you are using.
What is the frequency of a sine wave?
The frequency of a sine wave is the number of times it repeats itself in one unit of time. It is usually measured in Hertz (Hz).