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20 Nov 2019

A sinusoidal wave of frequency 425 Hzhas a speed of 250 m/s.

(a) How far apart are two points that differinphase by π/3 rad?
1m

(b) What is the phase difference between two displacements atacertain point at times 1.00 ms apart?
2 rad

(a) How much of awavelength correspondsto the given phase difference? How do youfind the wavelength fromthe frequency and wave speed? (b) How muchof a period is the givenphase difference?

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Reid Wolff
Reid WolffLv2
27 Feb 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A sinusoidal wave of frequency 575 Hz has a speed of 220m/s.
(a) How far apart are two points that differ in phase byp/3 rad?
m

(b) What is the phase difference between two displacements at acertain point at times 1.00 ms(mili seconds) apart?
rad

THIS HAS BEEN STUMPING ME. Please help me (I'd really appreciateequations to solve this):

A transverse wave of frequency 30 Hz propagates down a string. Twopoints 25 cm apart are out of phase by pi/4 .

A.) What is wavelength of the wave? (answer in units cm)

B.) At a given point, what is the phase difference (as a multipleof p) between two ‘displacements for times 10 ms apart? (answer inunits of pi)

C.) What is the wave velocity? (m/s)

A sinusoidal wave is traveling on a string with speed 20. cm/s. Thedisplacement of the particles of thestring at x = 30 cm isfoundto vary with time according to the equation y = (5.0cm)sin[12.0 - (8.0 s-1)t]. The linear densityofthe string is 8.0 g/cm.

(a) What is the frequency of the wave?
1s-1

(b) What is the wavelength of the wave?
2 cm

(c) Give the general equation giving the transverse displacementofthe particles of the string as a function of position andtime.
y(x,t) = ( 3 cm)sin[( 4cm-1)x - (5s-1)t]

(d) What is the tension in the string?
6 N

Can you find theangular wave number andangular frequency in the given equation?How are they related to thewavelength and frequency? Can yourelate the angular wave number andangular frequency to the wavespeed? Can you relate wave speed tothe tension and lineardensity?
  • Read the eBook
    • Section 16.6 Wave Speed on a StretchedString

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