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trasher [3.6K]
1 year ago
8

A sinusoidal wave traveling in the negative x direction (to the left) has an amplitude of 20.0 cm , a wavelength of 35.0 cm , an

d a frequency of 12.0Hz . The transverse position of an element of the medium at t = 0, x = 0 is y = -3.00 cm , and the element has a positive velocity here. We wish to find an expression for the wave function describing this wave.(d) the angular frequency ω and
Physics
1 answer:
SOVA2 [1]1 year ago
3 0

The expression for the wave function describing this wave is y(x,t) = 0.02 sin(17.95x + 75.4t - 0.00198).

The angular frequency of a wave  is 75.4 rad/s.

<h3>What is wave function?</h3>

A wave function is a mathematical equation for the motion of the wave.

y(x, t) = A sin(kx + ωt + Φ)

where;

  • ω is angular speed
  • k is angular wavenumber
  • Φ is phase angle

The angular wave number of the wave is calculated as follows;

k = 2π/λ

where;

  • λ is the wavelength
  • k is the angular wavenumber

k = 2π / 0.35

k = 17.95/m

<h3>Angular speed</h3>

ω = 2πf

ω = 2π(12)

ω = 75.4 rad/s

<h3>Phase angle</h3>

75.4(0.2) sin(Φ) = -0.03

sin(Φ) = -0.001989

Φ = arc sin(-0.001989)

Φ = -0.00198

<h3>Wave function</h3>

y(x,t) = 0.02 sin(17.95x + 75.4t - 0.00198)

Thus, the expression for the wave function describing this wave is y(x,t) = 0.02 sin(17.95x + 75.4t - 0.00198).

Learn more about wave function here: brainly.com/question/22675050

#SPJ4

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