Transmission in springs

In summary, when sending a pulse from the coil to the slinky, the speed and wavelength increase, while the amplitude decreases. When sending a pulse from the slinky to the coil, the speed and wavelength decrease, while the amplitude remains the same. The frequency remains constant in both directions.
  • #1
hasr
1
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Homework Statement


Create a boundary between two media by attaching a slinky to a coiled spring. Send pulses from one medium to the other.


Homework Equations


Describe what happens in both directions in term of speed, wavelength, frequency, and amplitude.



The Attempt at a Solution


I just did this but it is a bit confusing.

Pulse given from coil to slinky
Speed faster in slinky
wavelenght is longer in slinky
frequency is the same
amplitude is shorter in sliky

Pulse is given from slinky to coil
speed is slower in coil
wavelenght is shorter in coil
frequency is the same
amplitude is the same
 
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  • #2


In both directions, the pulse travels from the coil to the slinky, causing the slinky to stretch and compress as it propagates. This results in a longer wavelength in the slinky compared to the coil. The speed of the pulse is also affected, with the pulse traveling faster in the slinky and slower in the coil. This is due to the difference in the properties of the two media, with the slinky being able to stretch and compress more easily compared to the coil. The frequency of the pulse remains the same in both directions, as it is determined by the source of the pulse. However, the amplitude of the pulse changes. In the first direction, the amplitude is shorter in the slinky as the pulse travels faster and is spread out over a longer wavelength. In the second direction, the amplitude remains the same as the pulse travels slower and is more concentrated. Overall, the boundary between the two media causes changes in the speed, wavelength, frequency, and amplitude of the pulse as it travels back and forth.
 
  • #3


I would like to clarify and expand on the response provided.

When a pulse is sent from the coil to the slinky, the speed of the pulse increases in the slinky due to the decrease in the medium's density. This is because the slinky has a lower density compared to the coil, allowing the pulse to travel faster. The wavelength of the pulse also increases in the slinky due to the decrease in density, resulting in a longer distance between the peaks of the wave. The frequency remains the same as it is determined by the source of the pulse, which in this case is the coil. However, the amplitude of the pulse decreases in the slinky due to the energy being spread out over a larger distance.

On the other hand, when a pulse is sent from the slinky to the coil, the speed of the pulse decreases in the coil due to the increase in density. This is because the coil has a higher density compared to the slinky, causing the pulse to travel slower. The wavelength of the pulse also decreases in the coil due to the increased density, resulting in a shorter distance between the peaks of the wave. The frequency remains the same as it is determined by the source of the pulse, which is still the slinky. The amplitude of the pulse remains the same as it is determined by the energy of the pulse, which does not change during transmission.

In both directions, the pulse experiences a change in speed and wavelength due to the change in density of the medium. This phenomenon is known as refraction and is a common occurrence in wave transmission between different media. By understanding the relationship between speed, wavelength, frequency, and amplitude, we can better understand and predict the behavior of waves in different mediums.
 

1. What is transmission in springs?

Transmission in springs refers to the process of transferring energy from one part of a spring to another through its internal structure. This can include the transfer of kinetic energy as the spring compresses and extends, as well as the transfer of potential energy as the spring deforms and returns to its original shape.

2. How does transmission occur in springs?

Transmission occurs in springs through a combination of elastic deformation and Hooke's law. As a force is applied to a spring, it compresses or extends, causing its internal structure to change. This change in structure allows energy to be transferred through the spring, resulting in its ability to store and release energy.

3. What factors affect transmission in springs?

The main factors that affect transmission in springs include the material properties of the spring, such as its stiffness and strength, as well as the geometry of the spring, such as its length, diameter, and number of coils. Additionally, the amount of force applied to the spring and the frequency of the force can also impact its transmission capabilities.

4. How is transmission in springs measured?

Transmission in springs can be measured using a variety of techniques, including strain gauges, force sensors, and oscilloscopes. These tools can measure the amount of force applied to the spring, as well as its deformation and resulting energy transfer. The resulting data can then be analyzed to determine the transmission characteristics of the spring.

5. What are the applications of transmission in springs?

Transmission in springs has numerous applications in various industries, including automotive, aerospace, and mechanical engineering. Some common examples include using springs as shock absorbers in vehicles, as well as in mechanical systems for energy storage and power transmission. Springs are also used in everyday items such as pens, mattresses, and door hinges.

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