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Waves and Sounds

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Amplitude of a Sine Wave at a Specific Time and Position

WAVES-XF0FL4

A transverse wave on a string is described by:

$$y = 0.62 \sin {(1.75 x – 753 t + 1.047)}$$

…where $y$ is the string displacement in $mm$. What is the displacement of the string at the position $x = 7.20 m$ at a time $t = 8.34 s$?

A

$-0.554m$

B

$+0.554m$

C

$+0.343m$

D

$-0.343m$

E

$0.62 m$