Question

1. Two students stand x meters apart with a rope stretched between them. One student moves her hand up and down 25 times in t seconds, which causes a standing wave with n total nodes to form.

a) n = 3 b) x = 3.5 m t = 4 s

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a) Sketch a picture of the standing wave that forms.

b) What is the wavelength?

c) What is the wave frequency?

d) What is the wave period?

e) What is the speed of the traveling waves?

f) The student halves the number of times she moves her hand up and down each second. What effect does this have on each of the following? (1 pt each)

1. Wavelength
2. Period
3. Wave speed

e) How many times should the student move her hand up and down to create the first harmonic (i.e., the fundamental frequency)?

(If you can't answer all of them please just answer the first few including the picture! But would appreciate all, thank you!)

Answer 1

(a)

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(b) wavelength = 3.5 m

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(c) frequency = 25/t

frequency = 6.25 Hz

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(d) T = 1/f

T = 1/ 6.25

T = 0.16 sec

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(e) speed = wavelength * frequency

speed = 3.5 * 6.25

speed = 21.875 m/s

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(f) wavelength will increase, period will increase, wave speed will be constant