Calculate Speed and Time of Longitudinal Wave in 6m Spring

In summary, the longitudinal wave in a 6.0m long spring has a frequency of 10.0 Hz and a wavelength of 0.75m. This results in a wave speed of 7.5 m/s. To find the time it takes to travel the length of the spring, we can use the formula t = d/v, where d is the distance and v is the speed. In this case, the distance is 6.0m and the speed is 7.5 m/s, giving us a time of 0.8 seconds.
  • #1
jaron
23
0

Homework Statement


a longitudinal wave in a 6.0m long spring has a frequency of 10.0 Hz and a wavelength of 0.75m. calculate the speed of the wave and the time that it would take to travel the length of the spring.


Homework Equations


v = f (wavelength)


The Attempt at a Solution


v = 10(0.75)
v = 7.5 m/s

then in order to find the time it would take to travel the length of the spring i have no idea.

any help is always appreciated
 
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  • #2
It travels at 7.5 m/s. The spring is 6.0 m long. So how long does it take to traverse the spring?

Here's an equivalent question: you are driving a car at 75 km/h. How long does it take you to drive 60 km?
 
  • #3
ah yes. so we are back to the old t = d/v

that makes very good sense. thank you.
 

Related to Calculate Speed and Time of Longitudinal Wave in 6m Spring

1. How do you calculate the speed of a longitudinal wave in a 6m spring?

The speed of a longitudinal wave in a 6m spring can be calculated using the formula v = √(E/ρ), where v is the wave speed, E is the Young's modulus of the spring, and ρ is the density of the spring material.

2. What is Young's modulus and how does it affect the speed of a longitudinal wave?

Young's modulus is a measure of the stiffness of a material. It describes how much a material will deform under a given amount of stress. The higher the Young's modulus, the faster the speed of a longitudinal wave will be in that material.

3. Can the speed of a longitudinal wave in a 6m spring be changed?

Yes, the speed of a longitudinal wave in a 6m spring can be changed by altering the properties of the spring, such as its length, Young's modulus, or density. The speed can also be changed by changing the tension or compression of the spring.

4. How does the length of the spring affect the speed of a longitudinal wave?

The length of the spring does not have a direct effect on the speed of a longitudinal wave. However, a longer spring may have a higher Young's modulus or density, which can affect the speed of the wave. In general, the longer the spring, the higher the speed of the wave will be.

5. Is the speed of a longitudinal wave in a 6m spring affected by the medium it travels through?

Yes, the speed of a longitudinal wave in a 6m spring can be affected by the medium it travels through. The wave speed will be faster in denser mediums, such as a solid material, compared to less dense mediums, such as a gas or liquid. This is because the density of the medium affects the value of ρ in the wave speed formula.

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