The displacement of a standing wave on a string is given by D=2.6sin(0.70x)cos(44t), where x and D are in centimeters and t is in seconds. Answer in 4 sig figs!
A) What is the distance (cm) between nodes?
B) Give the amplitude of each of the component waves.
C) Give the frequency of each of the component waves.
D) Give the speed of each of the component waves.
E) Find the speed of a particle of the string at x=2.70cm where t=2.4s
Please show all of your work! Thank you!
The displacement of a standing wave on a string is given by D=2.6sin(0.70x)cos(44t), where x and...
ConstantsPeriodic Table Part A The displacement of a standing wave on a string is given by D-3.4 sin(0.67r) cos(44t), where r and D are in centimeters andt is in seconds. What is the distance (cm) between nodes? Express your answer using two significant figures. d- cm Submit Request Answer Part B Give the amplitude of each of the component waves. Express your answers using two significant figures. Enter your answers numerically separated by a comma A, A2 cm Submit Part...
The wave function for a standing wave on a string is described by y(x, t) = 0.016 sin(4πx) cos (57πt), where y and x are in meters and t is in seconds. Determine the maximum displacement and maximum speed of a point on the string at the following positions. (a) x = 0.10 m ymax = m vmax = m/s (b) x = 0.25 m ymax = m vmax = m/s (c) x = 0.30 m ymax = m vmax = m/s (d) x = 0.50...
Adjacent antinodes of a standing wave of a string are 20.0 cm apart. A particle at an antinode oscillates in simple harmonic motion with amplitude 0.600 cm and period 0.100 s. The string lies along the +x-axis and its left end is fixed at x = 0. The string is 70.0 cm long. At time t = 0, the first antinode is at maximum positive displacement. a. Is the right end of the string fixed or free? Explain. b. Sketch...
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...
The equation of a transverse wave traveling along a very long string is y = 3.96 sin(0.0444πx+ 7.89πt), where x and y are expressed in centimeters and t is in seconds. Determine (a) the amplitude, (b) the wavelength, (c) the frequency, (d) the speed, (e) the direction of propagation of the wave and (f) the maximum transverse speed of a particle in the string. (g) What is the transverse displacement at x = 1.05 cm when t = 0.843 s?
The equation of a transverse wave traveling along a very long string is y = 6.28 sin(0.0223πx+ 3.63πt), where x and yare expressed in centimeters and t is in seconds. Determine (a) the amplitude, (b) the wavelength, (c) the frequency, (d) the speed, (e) the direction of propagation of the wave and (f) the maximum transverse speed of a particle in the string. (g) What is the transverse displacement at x = 4.95 cm when t = 0.876 s?
The wave function for a standing wave on a string is described by y(x, t) = 0.023 sin(4x) cos (591), where y and x are in meters and t is in seconds. Determine the maximum displacement and maximum speed of a point on the string at the following positions. (a) x = 0.10 m Ymax = Vmax = m/s m (b) x = 0.25 m Vmax = Vmax = m m/s (c) x = 0.30 m Ymax = m Vmax...
The wave function for a standing wave on a string is described by y(x, t) = 0.021 sin(4x) cos (56át), where y and x are in meters and t is in seconds. Determine the maximum displacement and maximum speed of a point on the string at the following positions. (a) x = 0.10 m Ymax = m Vmax = m/s (b) x = 0.25 m Ymax = Vmax = m m/s (c) x = 0.30 m Ymax = Vmax =...
We consider transverse waves on a string that have a wave speed of 8.00 m/s, amplitude 0.0700 m, and wavelength 0.320 m. The waves travel in the -x-direction, and at t=0 the x=0 end of the string has its maximum upward displacement. Find the transverse displacement of a particle at x=0.360 m at time t =0.150 s. Give your answer in centimeters.
We consider transverse waves on a string that have a wave speed of 8.00 m/s, amplitude 0.0700 m, and wavelength 0.320 m. The waves travel in the -x- direction, and at t=0 the x=0 end of the string has its maximum upward displacement. Find the transverse displacement of a particle at x=0.360 m at time t -0.150 s. Give your answer in centimeters.