A wave on a string can be described by ?(?, ?) = (5.0 ??) cos (??/3...
A wave on a string can be described by ?(?, ?) = (5.0 ??) cos (??/3 + 2??/3), where x is in m and t in s.
i. Draw the snapshot graph of the wave at t = 0 s.
ii. Draw the history graph at x = 0.
iii. In what direction is the wave travelling?
iv. What is the speed, frequency, and wavelength of the wave? v. At t = 1.5 s, what is the displacement of the string at x = 0.5 m?
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A wave on a string can be described by ?(?, ?) = (5.0 ??) cos
(??/3...
A wave on a string is described by y(x,t)=( 2.0 cm )×cos[2π(x/( 3.6 m )+t/( 0.20...
A wave on a string is described by y(x,t)=( 2.0 cm )×cos[2π(x/( 3.6 m )+t/( 0.20 s ))] , where x is in m and t is in s. A)In what direction is this wave traveling? Negative B)What is the wave speed? 18 m/s C)What is the wave frequency? Hz D)What is the wave length? m E)At t = 0.50 s , what is the displacement of the string at x = 0.30 m ? cm
To practice Problem-Solving Strategy 15.1 Mechanical Waves. Waves on a string are described by the following...
To practice Problem-Solving
Strategy 15.1 Mechanical Waves. Waves on a string are described by
the following general equation y(x,t)=Acos(kx−ωt). A transverse
wave on a string is traveling in the +x direction with a wave speed
of 7.50 m/s , an amplitude of 9.00×10−2 m , and a wavelength of
0.550 m . At time t=0, the x=0 end of the string has its maximum
upward displacement. Find the transverse displacement y of a
particle at x = 1.40 m and...
(1) A wave is traveling in the positive-y direction with wavelength λ f Hz. At t...
(1) A wave is traveling in the positive-y direction with wavelength λ f Hz. At t is 6m 12 m and frequency 0, there is no displacement of the medium at the origin, but its amplitude a) Write the equation for the displacement of this wave as a function of position and (b) Draw a quantitatively accurate history graph (at y 3m) and snapshot graph (at t 2s) (c) What is the speed of the wave?
1. [1pt] The following formula represents the transverse displacement from equilibrium of a particle on a...
1. [1pt] The following formula represents the transverse displacement from equilibrium of a particle on a string y(x) -1.5 cos(3x+900, where x is measur T (true), F (alse), G (greater than), L (less than), or E (equal to), For example, if the first statement is true, and the others should be completed with "equal to", enter TEEE ed in meters, y in centimeters, and t in seconds. Select the correct answer for each of the statements below fro You only...
(1) A wave is traveling in the positive y direction with wavelength λ = 12 m...
(1) A wave is traveling in the positive y direction with wavelength λ = 12 m and frequency f = 1/6 Hz. At t = 0, there is no displacement of the medium at the origin, but its amplitude is 6m. (a) Write the equation for the displacement of this wave as a function of position and time. (b) Draw a quantitatively accurate history graph (at y = 3m) and snapshot graph (at t = 2s). (c) What is the...
(1) A wave is traveling in the positive-y direction with wavelength λ “ 12 m and...
(1) A wave is traveling in the positive-y direction with wavelength λ “ 12 m and frequency f “ 1 6 Hz. At t “ 0, there is no displacement of the medium at the origin, but its amplitude is 6m. (a) Write the equation for the displacement of this wave as a function of position and time. (b) Draw a quantitatively accurate history graph (at y “ 3m) and snapshot graph (at t “ 2s). (c) What is the...
Question: A standing wave is established in a string and can be described by the equation:...
Question: A standing wave is established in a string and can be described by the equation: y(2, t) = 4.18 sin(14.4x) cos(980t) cm. Where z is in m and t is in s. Part 1) What is the position of the first anti-node? m Part 2) What is the maximum speed of a piece of string at x = 0.309 m? Umax = m/s Part 3) This standing wave is formed from an input wave travelling to the right interfering...
(2) A wave passes your house (considered to be x “ 0), and you start your...
(2) A wave passes your house (considered to be x “ 0), and you start your stopwatch as the wave passes (marking t “ 0). It is traveling at a speed of 50 m/s in the negative-x direction. The displacement of the wave as it passes your house is 4 m even though its amplitude is 6m. It has a frequency of 2 Hz. (a) Write the equation for the displacement of this wave as a function of position and...
A wave passes your house (considered to be x = 0), and you start your stopwatch...
A wave passes your house (considered to be x = 0), and you start your stopwatch as the wave passes (marking t = 0). It is traveling at a speed of 50 m/s in the negative-x direction. The displacement of the wave as it passes your house is 4 m even though its amplitude is 6m. It has a frequency of 2 Hz. (a) Write the equation for the displacement of this wave as a function of position and time....
6. The displacement (D) of a wave on a string is shown for a given location...
6. The displacement (D) of a wave on a string is shown for a given location of the wave on the string, using this graph, period, wavelength, and frequency of the wave: D (cm) -3 0.2 04 06 0.8 h0 History graph at x 0 m Wave traveling left at 2.0 m/s
To practice Problem-Solving
Strategy 15.1 Mechanical Waves. Waves on a string are described by
the following general equation y(x,t)=Acos(kx−ωt). A transverse
wave on a string is traveling in the +x direction with a wave speed
of 7.50 m/s , an amplitude of 9.00×10−2 m , and a wavelength of
0.550 m . At time t=0, the x=0 end of the string has its maximum
upward displacement. Find the transverse displacement y of a
particle at x = 1.40 m and...
(1) A wave is traveling in the positive-y direction with wavelength λ f Hz. At t is 6m 12 m and frequency 0, there is no displacement of the medium at the origin, but its amplitude a) Write the equation for the displacement of this wave as a function of position and (b) Draw a quantitatively accurate history graph (at y 3m) and snapshot graph (at t 2s) (c) What is the speed of the wave?
1. [1pt] The following formula represents the transverse displacement from equilibrium of a particle on a string y(x) -1.5 cos(3x+900, where x is measur T (true), F (alse), G (greater than), L (less than), or E (equal to), For example, if the first statement is true, and the others should be completed with "equal to", enter TEEE ed in meters, y in centimeters, and t in seconds. Select the correct answer for each of the statements below fro You only...
Question: A standing wave is established in a string and can be described by the equation: y(2, t) = 4.18 sin(14.4x) cos(980t) cm. Where z is in m and t is in s. Part 1) What is the position of the first anti-node? m Part 2) What is the maximum speed of a piece of string at x = 0.309 m? Umax = m/s Part 3) This standing wave is formed from an input wave travelling to the right interfering...
6. The displacement (D) of a wave on a string is shown for a given location of the wave on the string, using this graph, period, wavelength, and frequency of the wave: D (cm) -3 0.2 04 06 0.8 h0 History graph at x 0 m Wave traveling left at 2.0 m/s
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