A transverse wave on a string is modeled with the wave function y(x, t) = (0.40 m)sin[(0.75 m)x + (1.30 s¯¹)t + 0.20]. (Indicate the direction with the signs of your answers.) (a) Find the wave velocity (in m/s). 1.73 m/s (b) Find the position (in cm) in the y-direction, the velocity (in cm/s) perpendicular to the motion of the wave, and the acceleration (in cm/s2) perpendicular to the motion of the wave of a small segment of the string centered at x = 0.40 m at time t = 5.00 s. position velocity acceleration x cm cm/s cm/s²

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A transverse wave on a string is modeled with the wave function y(x, t) = (0.40 m)sin[(0.75 m¯¹)x + (1.30 s¯¹)t + 0.20].
(Indicate the direction with the signs of your answers.)
(a) Find the wave velocity (in m/s).
1.73
m/s
(b) Find the position (in cm) in the y-direction, the velocity (in cm/s) perpendicular to the motion of the wave, and the
acceleration (in cm/s²) perpendicular to the motion of the wave of a small segment of the string centered at
x = 0.40 m at time t = 5.00 s.
position
velocity
acceleration
X cm
cm/s
cm/s²
Transcribed Image Text:A transverse wave on a string is modeled with the wave function y(x, t) = (0.40 m)sin[(0.75 m¯¹)x + (1.30 s¯¹)t + 0.20]. (Indicate the direction with the signs of your answers.) (a) Find the wave velocity (in m/s). 1.73 m/s (b) Find the position (in cm) in the y-direction, the velocity (in cm/s) perpendicular to the motion of the wave, and the acceleration (in cm/s²) perpendicular to the motion of the wave of a small segment of the string centered at x = 0.40 m at time t = 5.00 s. position velocity acceleration X cm cm/s cm/s²
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