Wave Speed & Distance: Solving Wave Problems

[Sace Ver]

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).

 

[berkeman]

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)...

 

[Sace Ver]

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)...

Oops will fix right now.

 

[Sace Ver]

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)...

Okay I got 2.93m/s. What I me

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).

 

[berkeman]

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?

 

[SteamKing]

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?

 

[Sace Ver]

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?

 

[berkeman]

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?

 

[Sace Ver]

Looks good to me. See how carrying units along in the equations helps to keep things straight?

Yess thanks for the help