Physics A spider spins a web with silk threads of mass density μ = 9.18 × 10−9 kg/m. A typical tension in the long radial threads of such a web is 0.007 N. Suppose a fly hits the web, sending a wave pulse down a radial thread toward a spider sitting 0.5 m away from the point of impact. How long does the wave pulse take to reach the spider? Please show all work.

Physics A spider spins a web with silk threads of mass density μ = 9.18 × 10−9 kg/m. A typical tension in the long radial threads of such a web is 0.007 N. Suppose a fly hits the web, sending a wave pulse down a radial thread toward a spider sitting 0.5 m away from the point of impact. How long does the wave pulse take to reach the spider? Please show all work.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter16: Waves

Section: Chapter Questions

Problem 145CP: A pulse moving along the x axis can be modeled as the wave function y(x,t)=4.00me( x+( 2.00m/s )t...

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A pulse moving along the x axis can be modeled as the wave function y(x,t)=4.00me( x+( 2.00m/s )t 1.00m)2 . (a)What are the direction and propagation speed of the pulse? (b) How far has the wave moved in 3.00 s? (c) Plot the pulse using a spreadsheet at time t=0.00 s and t=3.00 s to verify your answer in part (b).
Consider two wave functions y1(x,t)=Asin(kxt) and y2(x,t)=Asin(kx+t+) . The resultant wave form when you add the two functions is yR=2Asin(kx+2)cos(t+2) . Consider the case where A=0.03m1,k=1.26m1,=s1 , and =10 . (a) Where are the first three nodes of the standing wave function starting at zero and moving in the positive x direction? (b) Using a spreadsheet, plot the two wave functions and the resulting function at time t=1.00 s to verify your answer.
Consider two waves y1(x,t) and y2(x,t) that are identical except for a phase shift propagating in the same medium. (a)What is the phase shift, in radians, if the amplitude of the resulting wave is 1.75 times the amplitude of the individual waves? (b) What is the phase shift in degrees? (c) What is the phase shift as a percentage of the individual wavelength?
Task 4 A support beam is subjected to vibrations along its length, emanating from two machines situated at opposite ends of the beam. The displacement caused by the vibrations can be modelled by the following equations,x1 3.75 sin ( 100nt + mm %3D X2 = 4.42 sin ( 100t –2) mm - a. State the amplitude, phase, frequency and periodic time of each of these waves. b. When both machines are switched on, how many seconds does it take for each machine to produce its maximum displacement? c. At what time does each vibration first reach a displacement of – 2mm? d. Use the compound angle formulae to expand x1 and x2 into the form A sin 100rt ± B cos 100nt, where A and B are numbers to be found.
Task 4 A support beam is subjected to vibrations along its length, emanating from two machines situated at opposite ends of the beam. The displacement caused by the vibrations can be modelled by the following equations,x1 = 3.75 sin ( 100nt + 27 mm x2 = 4.42 sin (100nt –)r 2n mm a. State the amplitude, phase, frequency and periodic time of each of these waves. b. When both machines are switched on, how many seconds does it take for each machine to produce its maximum displacement? c. At what time does each vibration first reach a displacement of - 2mm? d. Use the compound angle formulae to expand x1 and x2 into the form A sin 100nt ± B cos 100nt, where A and B are numbers to be found.
In a study of how monkeys’ eyes pursue a moving object, an image was moved sinusoidally through a monkey’sfield of vision with an amplitude of 2° and a period of 0.350second. Source: Journal of Neurophysiology.a. Find an equation giving the position of the image in degrees as a function of time in seconds.b. After how many seconds does the image reach its maximum amplitude?
A wave of amplitude 0.5 m interferes with a wave of amplitude of 0.2m. What is the maximum resultant displacement that may occur? What is the minimum resultant displacement that may occur? Draw a picture for each.
Task 4 A support beam is subjected to vibrations along its length, emanating from two machines situated at opposite ends of the beam. The displacement caused by the vibrations can be modelled by the following equations,x1 = 3.75 sin ( 100nt + mm x2 = 4.42 sin ( 100nt – ), mm a. State the amplitude, phase, frequency and periodic time of each of these waves. b. When both machines are switched on, how many seconds does it take for each machine to produce its maximum displacement? c. At what time does each vibration first reach a displacement of -2mm? d. Use the compound angle formulae to expand x, and x2 into the form A sin 100t ± B cos 100nt, where A and B are numbers to be found. e. Using your answers from part d, express ( x1 +x2), ( 2x1 – 4x2), and ( x1 + x2)( 2x1 – 4x2) in a similar forms. Convert this expression into the equivalent forms of R sin(100tbt +a). f. Express the 10th term of ( x, + x2)20 in terms of sinusoidal functions (sin, cos). g. Using appropriate spreadsheet…
Problems 8, 9, & 10 refer to the 60 cm string, driven by a variable motor, portrayed in the figure on the right. When the motor drives the system at 45 Hz, the string creates the boel standing wave pattern shown. 60 cm 8. What is the wave speed for this medium? А. 60 m/s B. 48 m/s C. 30 m/s D. 18 m/s 8. 9. At what frequency should the motor be set to create a standing wave pattern with 5 anti-nodes (5 footballs)? А. 5 Hz В. 15 Hz С. 75 Hz D. 90 Hz 9. 10. By what factor should the tension in the string be increased in order to see only one football on the string (when driven at the same 45 Hz)? А. 3 В. 9 С. 1/3 D. 1/9 10.
Problems 9 & 10 refer to the 60 cm string, driven by a variable motor, portrayed in the figure on the right. When the motor drives the system at 45 Hz, the string creates the standing wave pattern showm. 60 cm 9. What is the wave speed for this medium? А. 60 m/s B. 48 m/s C. 30 m/s D. 18 m/s 9. 10. At what frequency should the motor be set to create a standing wave pattern with 8 anti-nodes (8 footballs)? A. 8 Hz В. 50 Hz С. 105 Hz D. 120 Hz 10.
Answer the following questions about complex waveforms: A. Explain how a complex wave is generated. B. What is the main difference between a simple wave form (sine wave) and a complex waveform? And what is the method used to break the complex waveform in to its sinusoidal component? C. Write an example of a complex sine wave (Support your answer by drawing).
Constants I Periodic Consider a sine wave traveling down the stretched two- part cord of the figure.(Figure 1) Determine a formula for the ratio of the wavelengths in the two sections. (The frequency is the same in both sections.) Express your answer in terms of the variables µH and uL. ? Ан Submit Request Answer Figure 1 of 1 Part C Light section Heavy section Is the wavelength larger in the heavier cord or the lighter? (a) in the heavier cord Transmitted in the lighter cord pulse Submit Request Answer Reflected pulse (b) Provide Feedback II