Concept explainers
Steel and silver wires of the same diameter and same length are stretched with equal tension. Their densities are
The fundamental frequency of the silver wire when the fundamental frequency of the steel wire of similar dimensions is
Answer to Problem 38SP
Solution:
Explanation of Solution
Given data:
The fundamental frequency of the steel wire is
Density of silver wire is
Density of the steel wire is
Formula used:
The relationship between mass and density is
Here,
The formula of fundamental frequency is
Here,
Explanation:
Recall the relationship between mass and volume:
Calculate the mass of the steel wire.
Substitute
Calculate the mass of the silver wire.
Substitute
Recall the formula of fundamental frequencyAnd write the expression for fundamental frequency of the steel wire:
Here,
Substitute
Similarly, write the fundamental frequency of the silver wire:
Here,
Substitute
Find the ratio of
Substitute
Conclusion:
The fundamental frequency of thesilver wire is
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Chapter 22 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
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