Question

The equation of a transverse wave traveling along a very long string is $y=6.0 \sin (0.020 \pi x+4.0 \pi t),$ where $x$ and $y$ are expressed in centimeters and $t$ is in seconds. Determine (a) the amplitude, (b) the wavelength, (c) the frequency, (d) the speed, (e) the direction of propagation of the wave, and $(\mathrm{f})$ the maximum transverse speed of a particle in the string. (g) What is the transverse displacement at $x=3.5 \mathrm{cm}$ when $t=$ 0.26 $\mathrm{s} ?$

Name: the equation of a transverse wave traveling along a very long string is y60 sin 0020 pi x40 pi t where x and y are expressed in centimeters and t is in seconds determine a the amplitude b the waveleng
Uploaded: 2021-09-07T21:16:01-08:00
Duration: 4 min 31 s
Channel: Hubert Agamasu
Description: the equation of a transverse wave traveling along a very long string is y60 sin 0020 pi x40 pi t where x and y are expressed in centimeters and t is in seconds determine a the amplitude b the waveleng

          The equation of a transverse wave traveling along a very long string is $y=6.0 \sin (0.020 \pi x+4.0 \pi t),$ where $x$ and $y$ are expressed in centimeters and $t$ is in seconds. Determine (a) the amplitude, (b) the wavelength, (c) the frequency, (d) the speed, (e) the direction of propagation of the wave, and $(\mathrm{f})$ the maximum transverse speed of a particle in the string. (g) What is the transverse
displacement at $x=3.5 \mathrm{cm}$ when $t=$
0.26 $\mathrm{s} ?$

Added by Antonio W.

Fundamentals of Physics

David Halliday, Robert Resnick , Jearl… 10th Edition

Chapter 16

Instant Answer

Solved by Expert Hubert Agamasu

09/07/2021

Step 1

In this case, the amplitude is $6.0\,\text{cm}$. $$\boxed{A = 6.0\,\text{cm}}$$ (b) The wavelength is the distance between two consecutive points that are in phase. We can find the wavelength by looking at the coefficient of $x$ in the sine function. The Show more…

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The equation of a transverse wave traveling along a very long string is $y=6.0 \sin (0.020 \pi x+4.0 \pi t),$ where $x$ and $y$ are expressed in centimeters and $t$ is in seconds. Determine (a) the amplitude, (b) the wavelength, (c) the frequency, (d) the speed, (e) the direction of propagation of the wave, and $(\mathrm{f})$ the maximum transverse speed of a particle in the string. (g) What is the transverse displacement at $x=3.5 \mathrm{cm}$ when $t=$ 0.26 $\mathrm{s} ?$