If the fundamental frequency of an 70 cm long guitar string is 470 Hz, what is the speed of the traveling waves?
L = V/F = 2*0.70 = 1.40 m.
V/470 = 1.40
V = 1.40 * 470 = 658 m/s.
To find the speed of the waves on a guitar string, we can use the formula:
Speed (v) = Frequency (f) × Wavelength (λ)
Given:
Fundamental frequency (f) = 470 Hz
Length of the string (L) = 70 cm
To find the wavelength of the wave, we can use the formula:
Wavelength (λ) = 2 × Length of the string (L)
Substituting the given value of L:
Wavelength (λ) = 2 × 70 cm = 140 cm
Now we can substitute the values of f and λ into the speed formula:
Speed (v) = 470 Hz × 140 cm = 65800 cm/s
Therefore, the speed of the traveling waves on the guitar string is 65800 cm/s.
To determine the speed of the traveling waves on the guitar string, we can use the formula:
speed = wavelength × frequency
First, we need to find the wavelength of the waves. The fundamental frequency is the lowest frequency at which the string vibrates, and it corresponds to the longest wavelength. In this case, the fundamental frequency is 470 Hz.
The wavelength can be calculated using the formula:
wavelength = 2 × length
where the length is given as 70 cm. Plugging in the values:
wavelength = 2 × 70 cm = 140 cm
Next, we can calculate the speed of the waves using the equation:
speed = wavelength × frequency
Plugging in the values:
speed = 140 cm × 470 Hz = 65,800 cm/s
Therefore, the speed of the traveling waves on the 70 cm long guitar string is 65,800 cm/s.