A transverse sinusoidal wave on a string has a period T = 23.0 ms and travels in the negative x direction with a speed of 30.0 m/s. At t = 0, a particle on the string at x = 0 has a transverse position of 2.00 cm and is traveling downward with a speed of 3.50 m/s. What is the amplitude of the wave?

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mahayodha80Lv10

2 Aug 2022

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31 Dec 2019

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Related questions

A string of length (L) and mass (M) vibrating with a linearfrequency (f) and amplitude (A) has a periodic transversedisturbance traveling its length at a speed (v).

L = 2.00 meters = length of string
M = 0.005 kg = mass of string
f = 100 Hz = linear frequency of vibration
A = 0.030 meters = amplitude of the period transverse wavetraveling in the string
v = 20 m/s = speed of the transverse wave traveling down thestring

Determine the following:
a) Wavelength of the periodic disturbance
b) Wave number
c) Tension in the string
d) Fundamental frequency in the string
e) Maximum transverse speed and maximum transverse acceleration ofany small bit of string
f) Displacement of the bit of string at x = L/4 when t = 0.5seconds
g) Speed of the bit of string at x = 3L/4 when t = (1/80)seconds
h) Average total energy of waves on the string
i) Average rate at which energy is transmitted along the string

A string of length 3 m and total mass 12 g is under a tension of 160 N. A transverse harmonic wave with wavelength 25 cm and amplitude 2 cm travels to the right along the string. It is observed that the displacement at x = 0 at t = 0 is 0:87 cm.
(i) What is the speed of the wave?
(ii) Write the wave function, y(x; t).
(iii) Find the particle velocity at position x = 0 at time t = 10 s. What is the maximum particle velocity?

kalanji71199

A simple harmonic transverse wave is propagating along a string toward the left (or – x) direction. Shown to the right is a plot of the displacement as a function of position at time t = 0 s. The string tension is 3.6 N, and its linear mass density is 25 g/m.

(a) What is the amplitude?

(b) What is the wavelength?

(d) What is the wave speed?

(e) What is the maximum speed of a particle in the string?

(f) Write an equation describing the traveling wave.