A standing wave results from the sum of two transverse traveling
waves given by
y1 = ymcos(kx -
ωt)
and
y2 = ymcos(kx +
ωt)
where ym = 0.047 m, k = 3.2 rad/m, and
ω = 12 rad/s. (a) What is the smallest positive
value of x that corresponds to a node? Beginning at
t = 0, what is the value of the (b)
first, (c) second, and (d) third
time the particle at x = 0 has zero velocity?
A standing wave results from the sum of two transverse traveling waves given by y1 =...
A standing wave results from the sum of two transverse traveling waves given by y1 = ymcos(kx - ωt) and y2 = ymcos(kx + ωt) where ym = 0.057 m, k = 4.4 rad/m, and ω = 13 rad/s. (a) What is the smallest positive value of x that corresponds to a node? Beginning at t = 0, what is the value of the (b) first, (c) second, and (d) third time the particle at x = 0 has zero...
The equation of a transverse wave traveling on a string is given by y = A sin(kx - ωt) . Data: A=11 mm, k=35 rad/m, ω= 500 rad/s. 1) What is the amplitude? 2) What is the frequency? 3) What is the wave velocity? 4) What is the wavelength? 5) For the same wave, find the maximum transverse speed of a particle in the string.
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...
The equation of a transverse wave traveling along a string is y = (0.21 m)sin[(0.71 rad/m)x - (13 rad/s)t] (a) What is the displacement y at x = 3.5 m, t = 0.14 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...
Two waves are generated on a string of length 5.4 m to produce a three-loop standing wave with an amplitude of 3.2 cm. The wave speed is 100 m/s. Let the equation for one of the waves be of the form y(x, t) = ym sin (kx + ωt). In the equation for the other wave, what are (a) ym, (b) k, (c) ω, and (d) the sign in front of ω?
Two sinusoidal waves traveling in opposite directions interfere to produce a standing wave with the following wave function, where x is in meters and t is in seconds. y = (3.00 m) sin(0.200x) cos(2006) Determine the wavelength of the interfering waves. What is the frequency of the interfering waves? Hz Find the speed of the interfering waves. m/s Two sinusoidal waves combining in a medium are described by the following wave functions, where x is in centimeters and t is...
Two waves are generated on a string of length 5.9 m to produce a three-loop standing wave with an amplitude of 4.0 cm. The wave speed is 115 m/s. Let the equation for one of the waves be of the form y(x, t) = ym sin (kx + ωt). In the equation for the other wave, what are (a) ym, (b) k, (c) ω, and (d) the sign in front of ω? (a) 0.02 Units: m (b) _______ Units: rad/m...
Two waves are generated on a string of length 5.4 m to produce a three-loop standing wave with an amplitude of 3.2 cm. The wave speed is 100 m/s. Let the equation for one of the waves be of the form y(x, t) = ym sin (kx + ωt). In the equation for the other wave, what are (a) ym the answer is NOT 0.032 m. I need the answer in meter i
At time t = 0 and at position x = 0 m along a string, a traveling sinusoidal wave with an angular frequency of 450 rad/s has displacement y = +4.4 mm and transverse velocity u = -0.71m/s. If the wave has the general form y(x, t) = ym sin(kx - ωt + φ), what is phase constant φ?
A sinusoidal transverse wave of wavelength 19.0 cm travels along a string in the positive direction of an x axis. The displacement y of the string particle at x = 0 is given in the figure as a function of time t. The scale of the vertical axis is set by ys = 4 cm. The wave equation is to be in the form of y = ym sin(kx - ωt + φ). (a) At t = 0, is a...