Problem of Waves Homework: Wavelength, Frequency, Speed, Weight

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In summary, the conversation discusses a cord anchored to a wall and attached to a mass, which when plucked vibrates in its fundamental mode. The sound waves from the cord have a wavelength of 78cm, and the cord itself is 63cm long and has a mass of 5.4g. The conversation also asks for the resonant frequency, wavelength of the fundamental mode, speed of a wave, and weight of the mass.
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TheNextOne21
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Homework Statement


A cord is anchored to a wall at one end. It passes over a pulley and is attached to a mass at the other end. When the cord is plucked, it vibrates in its fundamental mode. The sound waves that emerge from the cord have a wavelength of 78cm. The cord is 63cm long and has a mass of 5.4g

What is the resonant frequency of the cord?


What is the wavelength of the fundamental mode of vibration in the cord?


What is the speed of a wave in the cord?


What is the weight of the mass?/



Homework Equations





The Attempt at a Solution

 
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Hi TheNextOne21! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 

1. What is the relationship between wavelength and frequency?

Wavelength and frequency have an inverse relationship, meaning that as one increases, the other decreases. This can be represented by the equation: speed = wavelength x frequency.

2. How do I calculate the speed of a wave?

The speed of a wave can be calculated by multiplying the wavelength by the frequency. This is because the speed of a wave is equal to the distance it travels in a given amount of time.

3. What is the difference between frequency and wavelength?

Frequency is the number of wave cycles that pass a given point in a certain amount of time, while wavelength is the distance between two consecutive peaks or troughs of a wave. They are both measures of the characteristics of a wave, but they are not interchangeable.

4. How does weight affect the properties of a wave?

Weight does not directly affect the properties of a wave. The properties of a wave, such as wavelength, frequency, and speed, are determined by the medium through which the wave is traveling and not by the weight of the wave itself.

5. Can the speed of a wave change?

Yes, the speed of a wave can change depending on the medium through which it is traveling. Different mediums have different densities and properties, which can affect the speed of a wave. For example, sound waves travel faster through solids than through gases.

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