A sinusoidal transverse wave travels along a long, stretched string. The amplitude of this wave is 0.0883 m, its frequency is 2.63 Hz, and its wavelength is 1.69 m. What is the shortest transverse distance d between a maximum and a minimum of the wave? d = How much time At is required for 51.9 cycles of the wave to pass a stationary observer? At = S Viewing the whole wave at any instant, how many cycles N are there in a 31.1 m length of string? N = cycles
Properties of sound
A sound wave is a mechanical wave (or mechanical vibration) that transit through media such as gas (air), liquid (water), and solid (wood).
Quality Of Sound
A sound or a sound wave is defined as the energy produced due to the vibrations of particles in a medium. When any medium produces a disturbance or vibrations, it causes a movement in the air particles which produces sound waves. Molecules in the air vibrate about a certain average position and create compressions and rarefactions. This is called pitch which is defined as the frequency of sound. The frequency is defined as the number of oscillations in pressure per second.
Categories of Sound Wave
People perceive sound in different ways, like a medico student takes sound as vibration produced by objects reaching the human eardrum. A physicist perceives sound as vibration produced by an object, which produces disturbances in nearby air molecules that travel further. Both of them describe it as vibration generated by an object, the difference is one talks about how it is received and other deals with how it travels and propagates across various mediums.
![### Understanding Sinusoidal Waves on a Stretched String
A sinusoidal transverse wave travels along a long, stretched string. Here are some of its properties:
- **Amplitude (A)**: 0.0883 meters
- **Frequency (f)**: 2.63 Hz
- **Wavelength (λ)**: 1.69 meters
#### Questions:
1. **Shortest Transverse Distance (d) Between a Maximum and a Minimum of the Wave**
To find the shortest transverse distance \( d \) between a maximum (peak) and a minimum (trough) of the wave:
\[ d = \]
(Provide the value in meters).
2. **Time (\( \Delta t \)) for 51.9 Cycles to Pass a Stationary Observer**
To calculate the time required for 51.9 cycles of the wave to pass a stationary observer:
\[ \Delta t = \]
(Provide the value in seconds).
3. **Number of Cycles (N) in a 31.1 m Length of String**
To determine how many cycles \( N \) are in a 31.1-meter length of string:
\[ N = \]
(Provide the number of cycles).
This exercise helps in understanding wave properties and their applications. Please calculate each value to reinforce your learning.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5039f9f1-9031-4cf0-b840-7355f91f2cd2%2F2352ffcc-b475-4676-a287-5f4052826f3e%2Ffb2f2bc.png&w=3840&q=75)
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