Calculate Speed and Time of Longitudinal Wave in 6m Spring

AI Thread Summary
The speed of a longitudinal wave in a 6.0m spring with a frequency of 10.0 Hz and a wavelength of 0.75m is calculated to be 7.5 m/s. To determine the time it takes for the wave to travel the length of the spring, the formula t = d/v is applied, where d is the distance (6.0m) and v is the speed (7.5 m/s). This results in a time of 0.8 seconds to traverse the spring. The discussion highlights the application of basic wave equations and the relationship between distance, speed, and time. Overall, the calculations demonstrate fundamental principles of wave mechanics.
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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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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?
 
ah yes. so we are back to the old t = d/v

that makes very good sense. thank you.
 

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