At t = 0, a transverse pulse in a wire is described by the function y...
A traveling wave is described by the function y(x,t) = 2 cos(3pi*t − 4pi*x), where y is in cm, x is in meters, and t is in seconds. a. In what direction is the wave traveling? b. What is the speed of the wave? c. What is the transverse acceleration of the wave at y = 0 and t = 1 second? d. Write an expression for the second harmonic of this wave (i.e., same speed, but twice the frequency).
A transverse wave on a string is described by the following wave function. Y = 0.095 sin (1x + 5nt) where x and y are in meters and t is in seconds. (a) Determine the transverse speed at t = 0.300 s for an element of the string located at x = 1.30 m m/s (b) Determine the transverse acceleration at t = 0.300 s for an element of the string located at x + 1.30 m. m/s2 (c) What...
1. A transverse wave on a string is described by y( x,t) = (0.1m)sin(0.4x + 5t) where x is measured in meters and t in seconds. a) What is the speed and the direction of travel of this wave? . A transverse wave on a string is described by y( x,t) = (0.12m)sin(0.5x + 4t) where x is measured in meters and t in seconds. b) What is the speed of this wave?
please give me the answer to all of them thank you 8. -0 points My Notes Ask Your Teacher A particle with a mass of 0.340 kg is attached to a horizontal spring with a force constant of 3.0ō N m At the moment t moving to the left. (Assume that the positive direction is to the right.) 0 the partice has s maximum speed of 75ms and s (a) Determine the particle's equation of motion, specifying its position as...
A transverse wave on a string is described by the wave function y(x, t) = 0.334 sin(1.60x + 86.0t) where x and y are in meters and t is in seconds. Consider the element of the string at x = 0. (a) What is the time interval between the first two instants when this element has a position of y = 0.175 m? (b) What distance does the wave travel during the time interval found in part (a)?
Let's consider a function described in terms of its displacement y(x,t) at t 0 by: where a, b and e are positive constants a) Write an expression for this wave profile, having a speed in the negative x-direction, as a function of position and time (b) Sketch the profile of the wave at t-0 s and t 2 s if v1 m/s (c) Determine if the following functions describe a travelling wave: (i) vr,t) (ar+ bt c), where a, b...
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?
A transverse wave on a wire is given by D(x, t) = 0.030 sin(27x - 567t) where x is in meters and t is in seconds. a) Determine an expression for a wave with the same amplitude, wavelength, and frequency but traveling in the opposite direction. b) What is the speed of either wave?
A transverse wave on a wire is given by D(x,t)=0.045sin(26x−ft) where D and x are in meters and t is in seconds. a) Find an expression for a wave with the same amplitude, wavelength, and frequency but traveling in the opposite direction. b)What is the speed of either wave?
A transverse traveling wave on a taut wire has an amplitude of 200 cm and frequency of 500 Hz. It travels with a speed of 196 m/s. (a) Write an equation for this wave if y (x = 5 cm, t = 0) = 0 mm. (b) Determine the vertical position of an element of the wire at t = 1.23 s, x = 0.25 cm. (c) What is the transverse velocity of an element of the wire at at...