Waves on a string Basics y (cm) cts x (cm) 4.5+ 7.5+ 10.5+ 13.5+ 16.5+ 19.5+...
A simple harmonic oscillator at the position x=0 generates a
wave on a string. The oscillator moves up and down at a frequency
of 40.0 Hz and with an amplitude of 3.00 cm. At time t =
0, the oscillator is passing through the origin and moving down.
The string has a linear mass density of 50.0 g/m and is stretched
with a tension of 5.00 N.
A simple harmonic oscillator at the position x = 0 generates a wave...
To practice Problem-Solving
Strategy 15.1 Mechanical Waves. Waves on a string are described by
the following general equation y(x,t)=Acos(kx−ωt). A transverse
wave on a string is traveling in the +x direction with a wave speed
of 7.50 m/s , an amplitude of 9.00×10−2 m , and a wavelength of
0.550 m . At time t=0, the x=0 end of the string has its maximum
upward displacement. Find the transverse displacement y of a
particle at x = 1.40 m and...
Adjacent antinodes of a standing wave on a string are 15.0 cm apart. A particle at an antinode oscillates in simple harmonic motion with amplitude 0.850 cm and period 0.0750 s. The string lies along the +x-axis and is fixed at x = 0. (a) How far apart are the adjacent nodes? (b) What are the wavelength, amplitude, and speed of the two traveling waves that form this pattern? (c) Find the maximum and minimum transverse speeds of a point...
The equation of a transverse wave traveling on a string is given by y - A sin(kx - ot) Data: A-22 mm, k-13 rad/m, 240 rad/s. What is the amplitude? Submit Answer Tries 0/99 What is the frequency? Submit Answer Tries 0/99 What is the wave velocity? Submit Answer Tries 0/99 What is the wavelength? Submit Answer Tries 0/99 For the same wave, find the maximum transverse speed of a particle in the string. Submit Answer Tries 0/99
Adjacent antinodes of a standing wave of a string are 20.0 cm apart. A particle at an antinode oscillates in simple harmonic motion with amplitude 0.600 cm and period 0.100 s. The string lies along the +x-axis and its left end is fixed at x = 0. The string is 70.0 cm long. At time t = 0, the first antinode is at maximum positive displacement. a. Is the right end of the string fixed or free? Explain. b. Sketch...
The equation of a transverse wave traveling on a string is given by y = A sin(kx - ωt) . Data: A=11 mm, k=35 rad/m, ω= 500 rad/s. 1) What is the amplitude? 2) What is the frequency? 3) What is the wave velocity? 4) What is the wavelength? 5) For the same wave, find the maximum transverse speed of a particle in the string.
The equation of a transverse wave traveling on a string is given by y A sin(kx - cot). Data: A-22 mm, k-13 rad/m, - 240 rad/s. What is the amplitude? Submit Answer Tries 0/99 What is the frequency? Submit Answer Tries 0/99 What is the wave velocity? Submit Answer Tries 0/99 What is the wavelen Submit Answer Tries 0/99 For the same wave, find the maximum transverse speed of a particle in the string. Submit Answer Tries 0/99
Standing Waves in a Pipe - Both Ends Open Pattern (a) Pattern (b) Pattern (c) Pattern (d) The above figure shows standing wave patterns in a pipe whose left end is closed but the right end is open in all the patterns, the length of the pipe L = 2.10 m. The speed of sound in air is 343 m/s. You will find the wavelengths and frequencies of these standing wave patterns. (C) In Pattern (c), What is the wavelength?...
The speed of a transverse wave on a string is 450 m/s, and the wavelength is 0.18 m. The amplitude of the wave is 2.0 mm. How much time is required for a particle of the string to move through a total distance of 1.0 km? How do you do this problem only knowing: v(of a wave)=(wavelength)(frequency) T=1/f basic kinematics and basic simple harmonic motion properties Please explain what you did
A string vibrates at its third-harmonic frequency
Review Part A A string vibrates at its third-harmonic frequency. The amplitude at a point 42 cm from one end is half the maximum amplitude How long is the string? Express your answer to two significant figures and include the appropriate units. Value Units Review Part A A metal wire under tension To vibrates at its fundamental frequency For what tension will the third-harmonic frequency be the same as the fundamental frequency at...