Wave Speed & Distance: Solving Wave Problems

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Homework Help Overview

The discussion revolves around wave speed calculations in the context of water waves, specifically focusing on determining the speed of a wave given its wavelength and period, as well as calculating the time required for the wave to travel a certain distance and the distance traveled over a set time period.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between wavelength, period, and wave speed using the equation v=λ/T. There is uncertainty regarding the correct application of this equation, particularly in the context of unit consistency and calculation methods.

Discussion Status

Participants are actively engaging with the problem, offering guidance on checking calculations and using units to verify results. Some have attempted calculations and are seeking confirmation on their correctness, indicating a productive exchange of ideas.

Contextual Notes

There is a recurring emphasis on ensuring that units are consistent throughout the calculations, and some participants express uncertainty about their approaches to the latter parts of the problem.

Sace Ver
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Homework Statement


The wavelength of a water wave is 4.4m and it's period is 1.5s.
(a) what is the speed of the wave.
(b) the time required for the wave to travel 100m.
(c) the distance traveled by the wave in 1min.

Homework Equations


v=λ/T

The Attempt at a Solution


(a) v=λ/T
v= 4.4m x 1.5s
v= 6.6m/s

Not sure how to complete questions (a) and (b).
 
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Sace Ver said:

Homework Statement


The wavelength of a water wave is 4.4m and it's period is 1.5s.
(a) what is the speed of the wave.
(b) the time required for the wave to travel 100m.
(c) the distance traveled by the wave in 1min.

Homework Equations


v=λ/T

The Attempt at a Solution


(a) v=λ/T
v= 4.4m x 1.5s
v= 6.6m/s

Not sure how to complete questions (a) and (b).
The equation says to divide, but you multiplied.

Use the units to check your calculations. velocity is in m/s, wavelength is in m, and the period is in units of seconds. The units have to work out, or you have made a math error (like multiplying instead of dividing)... :smile:
 
berkeman said:
The equation says to divide, but you multiplied.

Use the units to check your calculations. velocity is in m/s, wavelength is in m, and the period is in units of seconds. The units have to work out, or you have made a math error (like multiplying instead of dividing)... :smile:
Oops will fix right now.
 
berkeman said:
The equation says to divide, but you multiplied.

Use the units to check your calculations. velocity is in m/s, wavelength is in m, and the period is in units of seconds. The units have to work out, or you have made a math error (like multiplying instead of dividing)... :smile:

Okay I got 2.93m/s. What I me
Sace Ver said:

Homework Statement


The wavelength of a water wave is 4.4m and it's period is 1.5s.
(a) what is the speed of the wave.
(b) the time required for the wave to travel 100m.
(c) the distance traveled by the wave in 1min.

Homework Equations


v=λ/T

The Attempt at a Solution


(a) v=λ/T
v= 4.4m x 1.5s
v= 6.6m/s

Not sure how to complete questions (a) and (b).

I meant to say not sure how to solve (b) and (c).
 
Sace Ver said:
I meant to say not sure how to solve (b) and (c).
You just need the equation relating distance, speed and time. Use units to help you figure out the equation. What are the units of distance, speed and time? What equations can you write with those quantities so that the units are the same on both sides of the = sign?
 
Sace Ver said:

Homework Statement


The wavelength of a water wave is 4.4m and it's period is 1.5s.
(a) what is the speed of the wave.
(b) the time required for the wave to travel 100m.
(c) the distance traveled by the wave in 1min.

Homework Equations


v=λ/T

The Attempt at a Solution


(a) v=λ/T
v= 4.4m x 1.5s
v= 6.6m/s

Not sure how to complete questions (a) and (b).

If I'm walking down a road at 2 m/s, how long does it take me to walk 100 m? How far do I walk in 1 minute?
 
berkeman said:
You just need the equation relating distance, speed and time. Use units to help you figure out the equation. What are the units of distance, speed and time? What equations can you write with those quantities so that the units are the same on both sides of the = sign?
Not sure if I did this correctly.

(a) v=λ/T
v= 4.4/1.5
v= 2.93m/s

(b)t=d/v
t= 100m/2.93m/s
t= 34.13s

(c) d=vt
d= (2.93m/s)(60s)
d= 175.8m

Did I do it correctly?
 
Sace Ver said:
Not sure if I did this correctly.

(a) v=λ/T
v= 4.4/1.5
v= 2.93m/s

(b)t=d/v
t= 100m/2.93m/s
t= 34.13s

(c) d=vt
d= (2.93m/s)(60s)
d= 175.8m

Did I do it correctly?
Looks good to me. See how carrying units along in the equations helps to keep things straight? :smile:
 
berkeman said:
Looks good to me. See how carrying units along in the equations helps to keep things straight? :smile:
Yess thanks for the help
 
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