Follow on the Sall Sue question earlier. What frequency would be required for sally and her cheerful and hard-wroking partner to produce the standing wave with three nodes. Identify the steps.

To determine the frequency required for Sally and her partner to produce a standing wave with three nodes, we'll need to follow these steps:

Step 1: Understand the concept:
A standing wave occurs when two waves with the same frequency and amplitude traveling in opposite directions superpose, creating a pattern of nodes (points of no displacement) and antinodes (points of maximum displacement). In a standing wave, the distance between two consecutive nodes is half of the wavelength (λ/2).

Step 2: Identify the number of nodes:
We are given that Sally and her partner want to produce a standing wave with three nodes. This means there will be three points of no displacement along the wave.

Step 3: Determine the wavelength:
To calculate the wavelength (λ) of the standing wave, we can use the formula λ = 2L/n, where L is the length of the string and n is the number of nodes. In this case, since Sally and her partner are producing the standing wave, we can assume they are using a string or a similar medium.

Step 4: Know the relationship between frequency and wavelength:
The frequency (f) of a wave is inversely proportional to its wavelength. In other words, as the wavelength increases, the frequency decreases, and vice versa. The relationship can be expressed as f = v/λ, where v represents the wave velocity (constant for a given medium).

Step 5: Substitute values and solve for frequency:
Since we know the number of nodes (n) is three, we can substitute this value into the wavelength equation from step 3. Let's assume the length of the string (L) is a constant value based on the experimental setup. By calculating the wavelength from the equation λ = 2L/n, we found λ.

Finally, plug the calculated wavelength (λ) into the frequency equation f = v/λ to determine the frequency required for Sally and her partner to produce the standing wave with three nodes.

Please note that the specific values for L and v are not given in the question, so it is not possible to provide an exact numerical answer without that information.

To determine the frequency required for Sally and her partner to produce a standing wave with three nodes, you will need to follow these steps:

Step 1: Understand the concept of standing waves.
- Standing waves are formed by the interference of two waves of equal frequency and amplitude traveling in opposite directions.
- Nodes are points where the amplitude of the standing wave is always zero.

Step 2: Understand the relationship between wavelength and nodes.
- In a standing wave, the wavelength is related to the number of nodes as follows:
- For a given wave, the wavelength (λ) is equal to twice the distance between two consecutive nodes.
- In the case of a standing wave with three nodes, there are four segments of equal length, so the wavelength is four times the distance between two consecutive nodes.

Step 3: Determine the distance between consecutive nodes.
- To find the distance between two consecutive nodes, you need more information.
- Are the nodes evenly spaced? If so, divide the length of the string (or whatever medium Sally and her partner are using) by the total number of nodes, including the fixed ends.

Step 4: Calculate the wavelength.
- Multiply the distance between two consecutive nodes by four to find the wavelength (λ) of the standing wave.

Step 5: Calculate the frequency.
- The frequency of a wave is the number of complete wavelengths passing a point in one second.
- To determine the frequency, divide the wave's speed by the wavelength.
- If you know the wave's speed, divide the speed by the calculated wavelength.

Step 6: Convert the frequency if necessary.
- Make sure the units of the frequency are correct (usually Hz or cycles per second). If not, convert them if necessary.

By following these steps, you'll be able to determine the frequency required for Sally and her partner to produce a standing wave with three nodes.