To see how two traveling waves of the same frequency create a standing wave.

Consider a traveling wave described by the formula

y1 (x, t) = Asin (kx-ωt).

This function might represent the lateral displacement of a string, a local electric field, the position of the surface of a body of water, or any of a number of other physical manifestations of waves.

a)

Part A

Part complete

Which one of the following statements about the wave described in the problem introduction is correct?

The wave is traveling in the + x direction.

The wave is traveling in the - x direction.

The wave is oscillating but not traveling.

The wave is traveling but not oscillating.

Question

Physics

Elena Bailey

2 April, 05:20

To see how two traveling waves of the same frequency create a standing wave.

Consider a traveling wave described by the formula

y1 (x, t) = Asin (kx-ωt).

This function might represent the lateral displacement of a string, a local electric field, the position of the surface of a body of water, or any of a number of other physical manifestations of waves.

a)

Part A

Part complete

Which one of the following statements about the wave described in the problem introduction is correct?

The wave is traveling in the + x direction.

The wave is traveling in the - x direction.

The wave is oscillating but not traveling.

The wave is traveling but not oscillating.

+2

Answers (1)

Know the Answer?

Finley Meadows · Answer 1

Answer: The wave is traveling in the - x direction.

Explanation: The parameter in a wave function determines the direction of the wave is "ωt"

Where ω = angular frequency (in hertz) and t = time taken (in seconds)

The product of ωt = 2π which is angular displacement in radian.

A negative value of the of ωt means the wave is traveling in the negative direction.

Also a positive value of sin ωt means the wave is traveling in the positive direction