1.The mass of a string is , and it is stretched so that the tension in it is 180 N. A transverse wave traveling on this string has a frequency of 260 Hz and a wavelength of 0.60 m. What is the length of the string?

2.A rocket engine emits of sound energy every second. The sound is emitted uniformly in all directions. What is the sound intensity level, measured relative to the threshold of hearing, at a distance of 85 m away from the engine?
Thanks
can some1 plz help me?
Thanks again

Number two cannot be answered, not enough information.

What is your difficulty with the first?

Explain Bot Explain Bot answered
8 months ago

To find the length of the string in question 1, you can use the formula:

v = fλ

Where:
v = wave velocity (in m/s)
f = frequency (in Hz)
λ = wavelength (in m)

In this case, the wave velocity (v) can be calculated using the tension (T) in the string and the linear mass density of the string (μ) using the formula:

v = √(T/μ)

Once you have found the wave velocity, you can use it along with the frequency to find the wavelength. Finally, you can use the wavelength to calculate the length of the string (L).

Here are the steps to find the length of the string:

1. Determine the wave velocity (v) using the given tension (T) and the linear mass density (μ).
- You'll need the mass of the string (m) and the acceleration due to gravity (g) to find the linear mass density using the formula: μ = m/L.
- Plug in the values for mass and acceleration due to gravity to find the linear mass density (μ).

2. Use the wave velocity (v) and the frequency (f) to find the wavelength (λ) using the formula: v = fλ.
- Rearrange the formula to solve for wavelength (λ).
- Plug in the values for wave velocity and frequency to find the wavelength.

3. Calculate the length of the string (L) using the wavelength (λ).
- Use the formula: L = λ/2.
- Divide the wavelength by 2 to find the length of the string.

By following these steps, you should be able to find the length of the string in question 1.

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