Physics Learning Object 6

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Standing Waves
Rachel Sunderland

 A standing wave is two waves that are moving in
opposite directions with the same amplitude,
wavelength, and frequency.
...

 D1(x,t) = A sin(kx + ωt) <- occurs at increasing x
 D2(x,t) = A sin(kx - ωt) <- occurs at decreasing x
 Together, the ...

 In this photo, the wave on the top is moving to the
right and the wave to the bottom is moving to the left
 They combin...

 A node is the point where the amplitude is zero and
therefore, there is no displacement from equilibrium
 The antinode ...

Picture of Nodes/Anti-nodes
 A node is where the displacement is zero and an anti-
node is where the displacement is 2A a...

 Nodes occur when the displacement is zero
 Therefore, sin (2πx/𝜆) = 0
 Since is zero at every pi interval so we can su...

 At what position does the wave function:
0.75m sin(17.2x) have its first node?
 We use the equation: X = m𝜆/2
 1st we ...

 Anti-Nodes occur when the displacement is (+/-) 2A
 Therefore, sin (2πx/𝜆) = (+/-) 1
 Since (+/-) occurs at every pi/2...

 At what position does the wave function:
0.50m sin(5.9x) have its first anti-node?
 We use the equation: X = (+/-) 𝜆/4,...

 What is the amplitude of a wave when its at the
location x = 0.35m, and its wavelength is 2.13m
 1st we need to determi...

 A(x) = 2A sin (2π/𝜆)
 Plugging in values gives us
 0.35m = 2(x) sin (2.95)
 0.35m = 2x (0.0514)
 6.81 = 2x
 x = 3.4...

 "Standing Waves." Mr Magarey's Official Year 11 Physics
Class Wikispace -. NHS, n.d. Web. 09 Mar. 2015.
 "S-cool, the R...

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