Concept explainers
To Calculate: The resonant frequency that can be expected for the overpass after the modification.
To identify: Whether the modifications will do good or not.
Answer to Problem 78GP
The resonant frequency that overpass can bear is
Explanation of Solution
Given:
The frequency of the earthquake occurred
Formula Used:
Write the expression for the frequency of the wave.
It can be written as:
Here,
Calculation:
Write the expression for the wavelength for the one full loop when there is no support at the middle.
Write the expression for the wavelength for the one full loop when there is a support at the middle of the bridge.
Write the expression for the velocity before modification.
Here,
Substitute the values in above expression.
After modification,
Calculate the resonant frequency that can be withstand by the overpass.
Velocity will be the same.
The earthquake frequency ranges from
Thus, the modification done in the overpass is good.
Conclusion:
The resonant frequency that overpass can bear is
Chapter 12 Solutions
Physics: Principles with Applications
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