(a) Explanation Write the general expression for the standing wave. D = A sin ( k x ) cos ( ω t ) (I) Here, A is the amplitude, ω is the angular frequency, t is time, k is the spring constant and x is the wavelength. The maximum swing is twice of amplitude. So, the amplitude of the wave is. A = 8.00 cm 2 = 4.00 cm Write the expression to calculate the wavelength. λ = 2 l 3 (II) Here, λ is the wavelength and l is the length of the string. Write the expression for the spring constant. k = 2 π λ (III) Substitute 2 l 3 for λ in equation (III) k = 2 π 2 l 3 = 3 π l (IV) Write the expression for the angular frequency. ω = 2 π f (V) Here, f is the frequency (b) To determine The function describing two equal amplitude waves traveling in opposite direction that make up the standing wave.

Physics for Scientists and Engineers with Modern Physics

4th Edition

ISBN: 9780131495081

Author: Douglas C. Giancoli

Publisher: Addison-Wesley

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Equation of Waves

Wave is an oscillation or disturbance traveling in a medium. It performs the transportation of energy but does not carry any matter. This motion of waves will transport fuel in a medium without permanent transfer of mass (particle).

Question

Chapter 15, Problem 60P

(a)

To determine

The function describing the standing wave.

(b)

To determine

The function describing two equal amplitude waves traveling in opposite direction that make up the standing wave.

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Chapter 15, Problem 59P

Chapter 15, Problem 61P

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Chapter 15 Solutions

Physics for Scientists and Engineers with Modern Physics

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The function describing the standing wave.

Solution Summary: The author explains the function describing the standing wave. Write the expression for the amplitude, angular frequency, time, and spring constant.

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The function describing the standing wave.

The function describing two equal amplitude waves traveling in opposite direction that make up the standing wave.

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Chapter 15 Solutions