Finding the amplitude with frequency and wavelength.

In summary, the formula for finding the amplitude with frequency and wavelength is A = λ/2π, where A represents the amplitude, λ represents the wavelength, and π represents the mathematical constant pi. Frequency and wavelength are inversely proportional to the amplitude, meaning that as either increases, the amplitude decreases. The amplitude can be negative, indicating that the wave is below the equilibrium point. The amplitude is directly proportional to the energy of a wave, so as the amplitude increases, the energy also increases. To measure the amplitude of a wave, one can find the maximum displacement from the equilibrium point using a ruler or measuring device placed perpendicular to the wave's direction of motion.
  • #1
sungjoooneee
3
0
A wave with a frequency of 190 Hz and a wavelength of 26.2 cm is traveling along a cord. The maximum speed of particles on the cord is the same as the wave speed.

speed = wavelength X frequency
 
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  • #2
Ok, so what do you want to calculate? What does the question say, exactly?
 
  • #3


To find the amplitude of this wave, we can use the equation for wave speed, which states that speed is equal to the product of wavelength and frequency. In this case, the maximum speed of particles on the cord is equal to the wave speed, so we can rearrange the equation to solve for amplitude.

Amplitude = speed / frequency

Substituting in the given values of frequency and wavelength, we can calculate the amplitude to be approximately 0.138 cm. This represents the maximum displacement of particles on the cord from their resting position as the wave passes through.

It is important to note that amplitude is a measure of the wave's intensity or energy, and it is not dependent on the frequency or wavelength. However, in this case, since the wave speed and maximum particle speed are directly related, the amplitude can be calculated using the given frequency and wavelength values.
 

What is the formula for finding the amplitude with frequency and wavelength?

The formula for finding the amplitude with frequency and wavelength is A = λ/2π, where A represents the amplitude, λ represents the wavelength, and π represents the mathematical constant pi.

How do frequency and wavelength affect the amplitude?

Frequency and wavelength are inversely proportional to the amplitude. This means that as the frequency or wavelength increases, the amplitude decreases, and vice versa.

Can the amplitude be negative?

Yes, the amplitude can be negative. This means that the wave is below the equilibrium point, or the point of no displacement.

What is the relationship between amplitude and energy?

The amplitude of a wave is directly proportional to its energy. This means that as the amplitude increases, so does the energy of the wave.

How do I measure the amplitude of a wave?

The amplitude of a wave can be measured by finding the maximum displacement of the wave from its equilibrium point. This can be done using a ruler or measuring device placed perpendicular to the wave's direction of motion.

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