Given:
The equation describing a transverse wave on a string is
y(x,t)=( 4.00 mm )sin[( 162 s^−1 )t−( 42.5 m^−1 )x].
λ = 0.148 m
f= 25.8 Hz
A= 4mm
v= 3.81 m/s
Given: The equation describing a transverse wave on a string is y(x,t)=( 4.00 mm )sin[( 162...
The equation describing a transverse wave on a string is y(x,t)=( 2.50mm )sin[( 168s?1 )t?( 42.1m?1 )x]. A. Find the wavelength of this wave. B. Find the frequency of this wave. C. Find the amplitude of this wave. D. Find the speed of motion of the wave. E. Find the direction of motion of the wave. F. Find the transverse displacement of a point on the string when t = 0.160s and at a position x = 0.140m.
The equation that describes a transverse wave on a string is y = (0.0120 m)sin[(394 rad/s)t - (3.00 rad/m)x] where y is the displacement of a string particle and x is the position of the particle on the string. The wave is traveling in the +x direction. What is the speed v of the wave?
The equation of a transverse wave on a string is y = (2.0 mm) sin[(21 m−1)x − (590 s−1)t]. The tension in the string is 16 N. (a) What is the wave speed? m/s (b) Find the linear density of this string. g/m
The equation of a transverse wave on a string is y = (1.0 mm) sin((16 m-?)X + (310 s 1)t] The tension in the string is 45 N. (a) What is the wave speed? (b) Find the linear density of this string. (a) Number Units (b) Number Units
The equation of a transverse wave on a string is y = (1.6 mm) sin[(21 m-1)x + (280 s-1)t] The tension in the string is 14 N. (a) What is the wave speed? (b) Find the linear density of this string.
The equation of a transverse wave traveling along a string is y = 0.419 sin(0.265x - 18.90), in which x and y are in meters and t is in seconds. (a) What is the displacement y at x = 6.36 m, t = 0.582 s? (Hint: Displacement is a vector quantity. Pay attention to the sign.) -.0442 m(b) Choose an equation of a wave that, when added to the given one, would produce standing waves on the string. O V'(x,t)...
The equation of a transverse wave traveling along a very long string is given by y = 6.1 sin(0.018πx + 3.1πt), where x and y are expressed in centimeters and t is in seconds. Determine the following values. (a) the amplitude cm (b) the wavelength cm (c) the frequency Hz (d) the speed cm/s (e) the direction of propagation of the wave +x−x +y−y (f) the maximum transverse speed of a particle in the string cm/s (g) the transverse displacement at...
A transverse wave on a string has an amplitude of 0.25 m and a frequency of 183 Hz. Consider the particle of the string at x = 0 m. It begins with a displacement of y = 0 m when t = 0 s, according to the following. y = A sin 2πft − 2πx λ y = A sin 2πft + 2πx λ How much time passes between the first two instants when this particle has a displacement of...
A transverse wave on a string is modeled with the wave function y(x, t) (0.80 m)sin[(0.85 m)x (1.70 s)t 0.20]. (Indicate the direction with the signs of your answers.) (a) Find the wave velocity (in m/s). m/s (b) Find the position (in cm) in the y-direction, the velocity (in cm/s) perpendicular to the motior 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...
The equation of a transverse wave traveling along a string is y = (0.11 m)sin[(0.78 rad/m)x - (14 rad/s)t] (a) What is the displacement y at x = 2.6 m, t = 0.27 s? A second wave is to be added to the first wave to produce standing waves on the string. If the wave equation for the second wave is of the form y(x,t) = ymsin(kx + ωt), what are (b) ym, (c) k, and (d) ω (e) the...