A transverse wave on a string has amplitude 0.300 cm, wavelength 12.0 cm, and speed 6.00 cm/s. It is represented by y ( x , t ) as given in Exercise 15.12. (a) At time t = 0, compute y at 1.5-cm intervals of x (that is, at x = 0, x = 1.5 cm, x = 3.0 cm, and so on) from x = 0 to x = 12.0 cm. Graph the results. This is the shape of the string at time t = 0. (b) Repeat the calculations for the same values of x at times t = 0.400 s and t = 0.800s. Graph the shape of the string at these instants. In what direction is the wave traveling?
A transverse wave on a string has amplitude 0.300 cm, wavelength 12.0 cm, and speed 6.00 cm/s. It is represented by y ( x , t ) as given in Exercise 15.12. (a) At time t = 0, compute y at 1.5-cm intervals of x (that is, at x = 0, x = 1.5 cm, x = 3.0 cm, and so on) from x = 0 to x = 12.0 cm. Graph the results. This is the shape of the string at time t = 0. (b) Repeat the calculations for the same values of x at times t = 0.400 s and t = 0.800s. Graph the shape of the string at these instants. In what direction is the wave traveling?
A transverse wave on a string has amplitude 0.300 cm, wavelength 12.0 cm, and speed 6.00 cm/s. It is represented by y(x, t) as given in Exercise 15.12. (a) At time t = 0, compute y at 1.5-cm intervals of x (that is, at x = 0, x = 1.5 cm, x = 3.0 cm, and so on) from x = 0 to x = 12.0 cm. Graph the results. This is the shape of the string at time t = 0. (b) Repeat the calculations for the same values of x at times t = 0.400 s and t = 0.800s. Graph the shape of the string at these instants. In what direction is the wave traveling?
If a wave that is traveling is described by
y(x,t) = (0.00327 m) sin (72.1 x +2.27 t),
where the standard SI units are used (72.1 rad/m and 2.72 rad/s), then what is the transverse velocity of the string element at x = 25.2 cm and t = 19.8 s?
If a wave that is traveling is described by
y(x,t) = (0.00327 m) sin (72.1 x +2.27 t),
where the standard SI units are used (72.1 rad/m and 2.72 rad/s), then what is the transverse acceleration of the string element at x = 25.2 cm and t = 19.8 s?
A string 1.22 m long clamped at both ends has density 0.028 0 kg/m and is under a tension of 1 050 N. If the string vibrates in three equal segments when driven by an oscillator, what is the frequency for this standing wave?
Chapter 15 Solutions
University Physics with Modern Physics (14th Edition)
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Wave Speed on a String - Tension Force, Intensity, Power, Amplitude, Frequency - Inverse Square Law; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=vEzftaDL7fM;License: Standard YouTube License, CC-BY