Concept explainers
(a)
To calculate:The wave speed.
(a)
Answer to Problem 103P
The wave speed
Explanation of Solution
Given:
Mass per unit length of the rope =
Tension =
Frequency =
Amplitude =
Formula used:
The wave speed can be calculated as:
Where,
Calculation:
Let, the
From the given data, wave speed can be found out as:
Where,
Now, substituting the all values of the linear density and tension in the equation:
Conclusion:
Thus, the wave speed
(b)
To calculate: The wavelength.
(b)
Answer to Problem 103P
The wavelength
Explanation of Solution
Given:
Mass per unit length of the rope =
Tension =
Frequency =
Amplitude =
Formula used:
The wave speed can be calculated as:
Where,
Sound’s speed:
Frequency of wave:
The wavelength:
Calculation:
To evaluate the wavelength, expression used is:
Where,
Sound’s speed:
Frequency of wave:
The wavelength:
After substituting the values of the
Now, substituting the all values of the linear density and tension in the equation:
Conclusion:
Thus, the wavelength
(c)
To calculate:The maximum transverse linear momentum.
(c)
Answer to Problem 103P
The maximum transverse linear momentum
Explanation of Solution
Given:
Mass per unit length of the rope =
Tension =
Frequency =
Amplitude =
Formula used:
To calculate the maximum transverse linear momentum the expression used is:
Calculation:
Initially, relate the max transverse linear momentum of the
Substitute the numerical values to evaluate
Conclusion:
Thus, the maximum transverse linear momentum
(d)
To calculate: The maximum net force.
(d)
Answer to Problem 103P
The maximum net force
Explanation of Solution
Given:
Mass per unit length of the rope =
Tension =
Frequency =
Amplitude =
Formula used:
To calculate the maximum net forcethe expression used is:
Calculation:
The max net force acting on the segment is the product of the mass of th segment and its max acceleration:
Substitute the numerical values to evaluate
Conclusion:
Thus, the maximum net force
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Chapter 15 Solutions
Physics for Scientists and Engineers
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