The vertical displacement y(x,t) of a string stretched along the horizontal x-axis is given by y(x,t)...
A transverse wave is traveling on a string stretched along the horizontal x-axis. The equation for the vertical displacement y is given by y(x,t) = Asin(kx-wt), where A is the amplitude of the wave is much smaller than the wavelength, an individual particle in the string has constant horizontal displacement x but oscillates in the y-direction. The maximum speed of the particle in the y-direction is... Aw A^2w Aw^2 w/k k/w
1) The vertical displacement y(x,t) of a horizontal string aligned along the x-axis is given by the equation y(x,1) = (5.25 mm) cos((4.70 m-1)x - (14.1 s-1)]. What are the (a) speed, (b) period, and (c) wavelength of this wave?
6. (20 pts.) A wave traveling along a string stretched along an x-axis has the form y(x, t) = (10 mm) sin(107x – 5nt). (a) What direction is the wave traveling (to the left or right)? (d) What is the wave's frequency, wavelength and speed? (e) What is the minimum, finite length the string must have in order to have standing waves, in it, with this waveform bouncing back and forth along x? (f) If the string has that length,...
Wave on a String A string with linear mass density 2.0 g/m is stretched along the positive x-axis under a tension of 20 N. The other end of the string, at x = 0m is tied to a hook that oscillates up and down at a frequency of 100Hz with a maximum displacement from equilibrium of 1.0 mm. At t= 0s, the hook is at it's lowest point. (a) What are the wave speed and the wavelength on the string?...
Wave on a String A string with linear mass density 2.0 g/m is stretched along the positive x-axis under a tension of 20 N. The other end of the string, at x = 0m is tied to a hook that oscillates up and down at a frequency of 100Hz with a maximum displacement from equilibrium of 1.0 mm. At t= 0s, the hook is at it's lowest point. (a) What are the wave speed and the wavelength on the string?...
The equation that describes a transverse wave on a string is y = (0.0120 m)sin[(394 rad/s)t - (3.00 rad/m)x] where y is the displacement of a string particle and x is the position of the particle on the string. The wave is traveling in the +x direction. What is the speed v of the wave?
Question text The motion of a wave traveling along a stretched string is described by the equation: y(x,t)=(8.5cm)sin(5.2x−7.2t) where x is in metres and tt is in seconds. What is the minimum time it takes for a particle on the string to move from y = -8.5 cm to y = 8.5 cm?
By wiggling one end, a sinusoidal wave is made to travel along a stretched string that has a mass per unit length of 22.0 g/m. The wave may be described by the wave function y 0.20 sin (0.90x-42) where x and y are in meters and t s in seconds. 1. (a) Determine the speed of the wave. Is the wave moving in the +x direction or the -x direction? b) What is the tension in the stretched string? (c)...
3. The vertical displacement of a string is given by the harmonic function: Y(x, t) = 3.5cos(12nt-187x) Where x is the horizontal distance along the string in meters. Suppose a tiny particle were attached to the string at x=5cm. obtain the expression for the vertical velocity of the particle as a function of time.
The options are T/F/greater/less than/equal to The transverse displacement of a stretched string from equilibrium as a function of time and position is given by: y0.13 coskr xand y are in m; t is in s; k = 9 m-1 and ω = 81 rad s. The wavelength is 1 m The period is 1 s The wave moves in the positive x direction