Question

In: Mechanical Engineering

The cosine waves amplitude is 25% of the wave length. How many percent larger is this...

The cosine waves amplitude is 25% of the wave length. How many percent larger is this area as compared to being totally flat (amplitude is 0% of wave length). Base your calculations on the numeric length integral for the waves length.

Solutions

Expert Solution

Let x be the independent vairable and y be the dependent variable. Let the value when the amplitude is zero be 'a'. Then, the value of the function at any instant is given by:

,

where L is the wave length.

The area under the curve over one wave length is:

The area is a*L. This value of area for one wave length is independent of the ampllitude of the cosine wave. Hence, the area is same irrespective of whether cosines amplitude is 25% of the wave length or 0% of wave length. In other words the area when amplitude is 25% of the wave length is 0% larger as compared to beind totally flat.

samet mamat answered 2 years ago
Next > < Previous

Related Solutions

Transverse waves on a string have wave speed v=8.00m/s, amplitude A=0.0700m, and wavelength ?=0.320m. The waves...
Transverse waves on a string have wave speed v=8.00m/s, amplitude A=0.0700m, and wavelength ?=0.320m. The waves travel in the -x direction, and at t=0 thex=0 end of the string has its maximum upward displacement. Part A Find the frequency of these waves. Part B Find the period of these waves. Part C Find the wave number of these waves. Part D Write a wave function describing the wave. Part E Find the transverse displacement of a particle at x=0.360m at...
Transverse waves on a string have wave speed v = 8.00 m/s, amplitude A = 0.0700...
Transverse waves on a string have wave speed v = 8.00 m/s, amplitude A = 0.0700 m, and wavelength λ = 0.320 m. The waves travel in the -x direction, and at t = 0 the x =0 end of the string has its maximum upward displacement. 1) Find the frequency of these waves. 2) Find the period of these waves. 3) Find the wave number of these waves. 4) Write a wave function describing the wave. Express your answer...
Define Amplitude in every day language, explain how waves behave as Amplitude changes, and explain how...
Define Amplitude in every day language, explain how waves behave as Amplitude changes, and explain how you could change the Amplitude of a wave.
How do gravity waves change in terms of wave length, height, shape, phase speed, and particle...
How do gravity waves change in terms of wave length, height, shape, phase speed, and particle motion when approaching shallower water? Why does refraction typically occur under such condition? (20%
Transverse waves on a string have wave speed 8.00 m/s, amplitude 0.0700 m, and wavelength 0.320...
Transverse waves on a string have wave speed 8.00 m/s, amplitude 0.0700 m, and wavelength 0.320 m. These waves travel in the x  direction, and at t = 0 the x = 0 end of the string is at y = 0 and moving downward. 1)Find the frequency of these waves. 2)Find the period of these waves. 3)Write the equation for y(x,t) describing these waves. 4)Find the transverse displacement of a point on the string at x2 = 0.200 m at...
Explain how standing waves are produced in terms of wave interference.
Explain how standing waves are produced in terms of wave interference.
Demonstrate how pitch, timbre and volume are related to wave shape, amplitude and frequency (not in...
Demonstrate how pitch, timbre and volume are related to wave shape, amplitude and frequency (not in that order) by writing a paragraph about these relations including examples from real life
Waves travel at different velocity in different medium. How does wave velocity effect wave frequency?
Waves travel at different velocity in different medium. How does wave velocity effect wave frequency?
To see how two traveling waves of the same frequency create a standing wave. Consider a...
To see how two traveling waves of the same frequency create a standing wave. Consider a traveling wave described by the formula y1(x,t)=Asin(kx??t). This function might represent the lateral displacement of a string, a local electric field, the position of the surface of a body of water, or any of a number of other physical manifestations of waves. Part C Find ye(x) and yt(t). Keep in mind that yt(t) should be a trigonometric function of unit amplitude. Express your answers...
To see how two traveling waves of the same frequency create a standing wave. Consider a...
To see how two traveling waves of the same frequency create a standing wave. Consider a traveling wave described by the formula y1(x,t)=Asin(kx−ωt). This function might represent the lateral displacement of a string, a local electric field, the position of the surface of a body of water, or any of a number of other physical manifestations of waves. a) Part A Part complete Which one of the following statements about the wave described in the problem introduction is correct? The...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT