The distance from the crest of a wave to the next crest is 10 centimeters.
The distance from a crest of this wave to a trough is 4 centimeters.
a. What is the amplitude of this wave?
b. What is the wavelength of this wave?
To find the amplitude of this wave, you need to take the difference between the crest and the midpoint (the equilibrium position of the wave). The amplitude is the maximum displacement of the wave from its equilibrium position.
a. To calculate the amplitude:
The distance from the crest to the midpoint can be found by subtracting half of the trough-crest distance from the crest position.
Midpoint distance = (10 cm - 4 cm) / 2 = 3 cm
Therefore, the amplitude of this wave is 3 centimeters.
b. To find the wavelength of the wave:
Wavelength is the distance between two corresponding points on a wave, such as two adjacent crests or two adjacent troughs.
In this case, the wavelength is equal to the distance between two adjacent crests. Given that the distance from one crest to the next crest is 10 centimeters, this is the value of the wavelength.
Therefore, the wavelength of this wave is 10 centimeters.
To find the amplitude of the wave, we need to know that the amplitude is half the distance between the crest and the trough.
a. Amplitude = (Distance between crest and trough) / 2
Amplitude = 4 cm / 2
Amplitude = 2 cm
The amplitude of this wave is 2 centimeters.
To find the wavelength of the wave, we need to know that the wavelength is the distance between two consecutive crests or troughs.
b. Wavelength = Distance between crest and crest (or trough and trough)
Wavelength = 10 cm
The wavelength of this wave is 10 centimeters.