A progressive wave propagates in the +x direction with a velocity of 10 ms-1. The amplitude and wavelength are 12 mm and 40 cm respectively. 8. (a) (b) Determine the wave equation. Calculate the vibrational velocity of a particle at position x = 0.5 cm at the time t = 4 s. y= (12 x 10-2) (sin 50πt-5π x); v = 94 cms-1

A progressive wave propagates in the +x direction with a velocity of 10 ms-1. The amplitude and wavelength are 12 mm and 40 cm respectively. 8. (a) (b) Determine the wave equation. Calculate the vibrational velocity of a particle at position x = 0.5 cm at the time t = 4 s. y= (12 x 10-2) (sin 50πt-5π x); v = 94 cms-1

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter17: Traveling Waves

Section17.3: Harmonic Waves

Problem 17.3CE

See similar textbooks

Similar questions

A harmonic transverse wave function is given by y(x, t) = (0.850 m) sin (15.3x + 10.4t) where all values are in the appropriate SI units. a. What are the propagation speed and direction of the waves travel? b. What are the waves period and wavelength? c. What is the amplitude? d. If the amplitude is doubled, what happens to the speed of the wave?
The A string on a cello vibrates in its first normal mode with a frequency of 220 Hz. The vibrating segment is 70.0 cm long and has a mass of 1.20 g. (a) Find the tension in the string, (b) Determine the frequency of vibration when the string vibrates in three segments.
The energy of a ripple on a pond is proportional to the amplitude squared. If the amplitude of the ripple is 0.1 cm at a distance from the source of 6.00 meters, what was the amplitude at a distance of 2.00 meters from the source?
A wave is described by y = 0.020 0 sin (kx - t), where k = 2.11 rad/m, = 3.62 rad/s, x and y are in meters, and t is in seconds. Determine (a) (he amplitude, (b) the wavelength, (c) the frequency, and (d) the speed of the wave.
A copper wire has a radius of 200 µ m and a length of 5.0 m. The wire is placed under a tension of 3000 N and the wire stretches by a small amount. The wire is plucked and a pulse travels down the wire. What is the propagation speed of the pulse? (Assume the temperature does not change: (=8.96gcm3,Y=1.11011Nm) .)
4:29 O M In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, O"max, to the maximum angular velocity, O'max, is t s^(-1). What is the time needed for the pendulum to complete two oscillations? 1 sec 0.5 sec 0.25 sec 4 sec 2 sec The wavefunction of a mechanical wave on a string is described by: y(x,t) = 0.012cos(TtX-100rtt-2Tt/3), where x and y are in meters and t is in seconds. The transverse velocity of an element on the string at the left end (x = 0), at time t = 0 is: -0.6V3n m/s -0.6π m/s +0.6n m/s +0.6v3n m/s None of the listed II O O
20 rad/s In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, e"max, to the maximum angular velocity, O'max, is rt s^(-1). What is the time needed for the pendulum to complete one-half oscillation? 1 sec 2 sec 0.25 sec 4 sec 0.5 sec A traveling wave on a taut string with a tension force T, is given by the wave function: y(x.t) = 0.05sin(Ttx-100Tt), where x and y are in meters and t is in seconds. If the linear mass density of the string is given by u = 0.01 kg/m, then %3D
In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, O"max, to the maximum angular velocity, 0'max, is T s^(-1). What is the time needed for the pendulum to complete one-half oscillation? 4 sec 0.5 sec O 1 sec 0.25 sec 2 sec A traveling wave on a taut string with a tension force T is given by the wave
9. A progressive wave propagates in negative -x direction with velocity of 6 m s-1. The amplitude and wavelength are 12 cm and 35 cm respectively. Determine (a) (b) (c) The wave equation The vibrational speed of a particle at x = 10 cm at time t 0.5 s The direction of the wave. [y = 0.12 sin (107.7t - 17.95x); v = ±2.80 ms-1; DIY]
6:25.l 94 TUTORIAL 1.pdf TUTORIAL 1 ZCT 103/3 Vibration, Waves and Optics Due: 04/10/2019, 5pm An object performing simple harmonic motion has the displacement equation x= 5 sin (37t )where x is in cm and t is in s. The initial displacement is 5 cm at t=0s. Determine the: (a) Amplitude,angular frequency, frequency, period and phase constant of the motion (b) Displacement, velocity, acceleration, phase at t 3s (c) Maximum velocity and acceleration m 4 cm Equilibrium mass of 0.75 kg is attached to one end of a horizontal spring of spring constant 400 Nm1- he other end of the spring is attached to a rigid wall. The mass is pushed so that at time t 0 it is 4.0 cm closer to the wall than the equilibrium position and is travelling towards the al with a velocity of 0.50 m s1. (a) Obtain an expression for the displacement of the ass in the form x = A cos(ot + p) m, giving numerical values for A, o and p. (b) Draw e displacement vs time graph of the oscillating system (c) Determine the total…
A wave is represented by y=(3.00m)sin(2.5t - 3.14x). Find the (a) amplitude, (b) angular velocity, (c) frequency, (d) wave number, (e) wavelength, and (f) speed of the wave. (Okay, since i've submitted the question already and the letter a, b and c were already answered please help me answer letter d, e , and f) the computed (a) amplitude= 3m , (b) the angular velocity is 2.5 rad/s, (c) the frequency of the wave is 0.398 Hz.. please do check if it's correct
What are the parts of this traveling wave? y(x,t) = (9.00 m) sin( (6л m¯¹)x + (4л rad/s)t - n/8) 11. Maximum vibration speed