4/12, 5:19 PM] Ibrahim: A traveling wave on a taut string with a tension force T, is given by the wave function: y(x,t) = 0.05sin⁡(2πx-100πt), where x and y are in meters and t is in seconds. If the linear mass density of the string is given by μ = 0.01 kg/m, then the tension force on the string is: A simple pendulum is made of a 50 cm-string and a bob of mass m. At t = 0, the pendulum is at its equilibrium position and is given an initial velocity v = 0.2 m/s. The maximum angular speed, θ'max, is:

4/12, 5:19 PM] Ibrahim: A traveling wave on a taut string with a tension force T, is given by the wave function: y(x,t) = 0.05sin⁡(2πx-100πt), where x and y are in meters and t is in seconds. If the linear mass density of the string is given by μ = 0.01 kg/m, then the tension force on the string is: A simple pendulum is made of a 50 cm-string and a bob of mass m. At t = 0, the pendulum is at its equilibrium position and is given an initial velocity v = 0.2 m/s. The maximum angular speed, θ'max, is:

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter17: Traveling Waves

Section: Chapter Questions

Problem 40PQ

See similar textbooks

Similar questions

A wave on a string is driven by a string vibrator, which oscillates at a frequency of 100.00 Hz and an amplitude of 1.00 cm. The string vibrator operates at a voltage of 12.00 V and a current of 0.20 A. The power consumed by the string vibrator is P=IV . Assume that the string vibrator is 90% efficient at converting electrical energy into the energy associated with the vibrations of the string. The string is 3.00 m long, and is under a tension of 60.00 N. What is the linear mass density of the string?
A traveling wave along the x-axis is given by the following wave functionψ(x, t) = 3.5 cos(1.5x - 8.6t + 0.46). Calculate the phase constant in radians.
Can you please explain the derivation of the velocity of the transverse wave? I am just not quite understanding why the Pi/8 doesn't get multiplied like the 4pi. Wouldn't the derivative of pi/8x be pi/8?
A simple harmonic oscillator is attached to a rope, creating a transverse wave of wavelength 7.30 cm. At the other end of the rope is a pulley and a hanging block of mass 6.90 kg. The oscillator has an angularfrequency of 2000 rad/s and an amplitude of 34.6 cm a) If the angular frequency of the oscillator doubles, what are the values of speed, angular wave number amplitude? b) If the frequency remains at its original value but the mass of the hanging block is doubled, what are the values of speed, angular wave number amplitude?
Find the wavelength of an oscillator having a vertical displacement given by: y(x, t) = (6.00 mm)cos[(3.25m-1)x-(7.22s-1)t)]
What is a vibrational frequency of the n=6 harmonic of a string of length 0.71 m strung at the tension 27.6 N, if the string is made of steel (density 7700 kg/m3) and has a diameter of 0.00771 m?
The frequency of vibrations of a vibrating violin string is given by f = 1/2Lsqrt(T/P) where L is the length of the string, T is its tension, and ρ is its linear density.† (a) Find the rate of change of the frequency with respect to the following. (i) the length (when T and ρ are constant) (ii) the tension (when L and P are constant) (iii) the linear density (when L and T are constant)
A violin string 30.0 cm long with linear density 0.650 g/m is placed near a loudspeaker that is fed by an audio oscillator of variable frequency. It is found that the string is set into oscillation only at the frequencies 880 and 1320 Hz as the frequency of the oscillator is varied over the range 500–1500 Hz.What is the tension in the string?
A simple pendulum consists of a ball of mass 5.00 kg hanging from a uniform string of mass 0.0600 kg and length L. If the period of oscillation of the pendulum is 2.00 s, determine the speed of a transverse wave in the string when the pendulum hangs vertically.
The total length of the thread is L = 7.00 m, the mass of the thread is m = 5.00 g, the mass of the hanging object is M = 7.00 kg, and the pulley is a fixed a distance d = 4.00 m from the wall. You pluck the thread between the wall and the pulley and it starts to vibrate. What is the fundamental frequency (in Hz) of its vibration?
A metal wire of length 20cm and diametre 0.2mm is streched by a load of 2kg of the density of the material of the wire is 7.8g/cm^3 find the fundamental frequency of vibration of wire
A ski gondola is connected to the top of a hill by a steel cable of length 720 m and diameter 1.3 cm. As the gondola comes to the end of its run, it bumps into the terminal and sends a wave pulse along the cable. It is observed that it took 14 s for the pulse to return. What is the speed of the pulse? What is the tension in the cable?