A source of frequency of 60 Hz is used to make waves in a rope that is 3.0m long. It takes 0.10s for the waves to travel from one fixed end of the rope to the other. How many loops are in the standing wave in the rope?
A source of frequency of 60 Hz is used to make waves in a rope that is 3.0m long. It takes 0.10s for the waves to travel from one fixed end of the rope to the other. How many loops are in the standing wave in the rope?
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter18: Superposition And Standing Waves
Section: Chapter Questions
Problem 18.1OQ: In figure OQ18.1 (page 566), a sound wave of wave-lenght 0.8 m divides into two equal parts that...
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A source of frequency of 60 Hz is used to make waves in a rope that is 3.0m long. It takes 0.10s for the waves to travel from one fixed end of the rope to the other. How many loops are in the standing wave in the rope?
My Answer:
I don't understand what DN stands for or why it equals λ/2. Does it always equal λ/2 or is that just specific to this question. Is there another way to solve this problem? Thanks.
d=3.0m
t=0.10s
v=?
v=d/t
=3.0m/0.10s
=30m/s
v=30m/s
f=60 Hz
λ=?
λ=v/f
=30m/s/60 Hz
=0.5m
DN= λ/2
=0.5m/2
=0.25m
# of loops= d/DN
= 3.0m/0.25m
= 12 loops
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