- #1
Shlllink
- 4
- 0
A string with both ends held fixed is vibrating in its third harmonic. The waves have a speed of 195 m/s and a frequency of 240 Hz. The amplitude of the standing wave at an antinode is 0.350 cm.
I have already correctly calculated the amplitude of the string at a point 24 cm from the left of the string to be .00336 m and time it takes the string to go from its largest upward displacement to its largest downward displacement at that point to be .00208 s.
I need to calculate the maximum transverse velocity and acceleration of the string at that point. I know the equation I need to use is 2Asin(kx)sin(wt)
(((w is omega)))
I know how to take the partial derivates of the equation too, but I don't know what to do about the t in the equation. My textbook seems to ignore it, and there's nothing about the time in the equation. The textbook also ignores the x, but I am given a value of x to be 24 cm. I'm also down to my last guess, so I want to be cautious.
I have already correctly calculated the amplitude of the string at a point 24 cm from the left of the string to be .00336 m and time it takes the string to go from its largest upward displacement to its largest downward displacement at that point to be .00208 s.
I need to calculate the maximum transverse velocity and acceleration of the string at that point. I know the equation I need to use is 2Asin(kx)sin(wt)
(((w is omega)))
I know how to take the partial derivates of the equation too, but I don't know what to do about the t in the equation. My textbook seems to ignore it, and there's nothing about the time in the equation. The textbook also ignores the x, but I am given a value of x to be 24 cm. I'm also down to my last guess, so I want to be cautious.