Question

the frequency of the note played by the open e5 string vibrating in its fundamental standing wave is 659 hz . calculate the wave speed for the transverse waves on the string.

Answer 1

The wave speed on the string is 164.75 m/s

Step-by-step explanation:

The formula to calculate the wave speed on a string is:

Wave Speed (v) = Frequency (f) x Wavelength (λ)

In this case, the frequency of the open E5 string is given as 659 Hz. The wavelength of the wave can be calculated using the formula:

Wavelength (λ) = Wave Speed (v) / Frequency (f)

Substituting the given frequency and wavelength into the formula, we can solve for the wave speed:

Wave Speed (v) = 659 Hz x 0.25 m = 164.75 m/s

Answer 2

The wave speed for the transverse waves on the string is 790.8 m/s.

How to calculate the speed of the wave?

The speed of the wave is calculated by applying the following formula as shown below.

The formula for fundamental frequency of open pipe is;

f = v/2L

v = 2fL

where;

• L is the length of the string
• f is the fundamental frequency

The given parameters include;

frequency, f = 659 Hz

length of the string, L = 60 cm = 0.6 m

The speed of the wave is calculated as follows;

v = 2 x 659 Hz x 0.6 m

v = 790.8 m/s

So the speed of the wave is 790.8 m/s.

The complete question is below:

the frequency of the note played by the open e5 string (60 cm) vibrating in its fundamental standing wave is 659 hz . calculate the wave speed for the transverse waves on the string.