Paragraph Styles Problem 5-The following figure represents a traveling wave. The distance the wave has traveled is 50 meters during a 10 second. w Formulas: F=1/T, V=f1, w = 271, K=27/A, Y= Asin(kx - w t) The wave Y-5 sin (k x-wt) travels in the rope. • "5" in the formula is in cm. a)What is the amplitude (A) of the wave? b)What is the frequency (f) (-in Hertz) of the wave? (see the above figure) c) What is the period (T) (-in seconds) of the wave? (see the above figure). d)What is the wavelength (A)-(in meters )of the wave? (see the above figure) eCalculate the speed of the wave in m/s ? f)Calculate the wave numberk g).Calculate the angular frequency w huse the results of (f) and (9) to write the wave function as a function of time (t) and displacement (x). 620 WORDS Type here to search
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Paragraph Styles Problem 5-The following figure represents a traveling wave. The distance the wave has traveled...
4) The given wave is traveling in a rope to the right. t = 1 second...
4) The given wave is traveling in a rope to the right. t = 1 second de 18 m The wave Y= 1.5 sin(kx-wt) travels in the rope. *(1.5 is in cm) a) What is the amplitude of the wave? b) What is the frequency (f) (-in Hertz) of the wave ? ( see the above figure) How did you calculate it c) What is the period (T) (-in seconds) of the wave? (see the above figure). How did you...
PrOBleM: SoLuTiONS To THE WAvE EQuATION a) By direct substitution determine which of the following functions...
PrOBleM: SoLuTiONS To THE WAvE EQuATION a) By direct substitution determine which of the following functions satisfy the wave equation 1. g(z, t)-A cos(kr - wt) where A, k, w are positive constants 2. h(z,t)-Ae-(kz-wt)2 where A, k, ω are positive constants 3. p(x, t) A sinh(kx-wt) where A, k,w are positive constants 4. q(z, t) - Ae(atut) where A,a, w are positive constants 5. An arbitrary function: f(x, t) - f(kx -wt) where k and w are positive constants....
At the position r = 0 A (meters) 30 t (seconds) 10 Which wave function corresponds best to the diagram? 2. y= A si...
At the position r = 0 A (meters) 30 t (seconds) 10 Which wave function corresponds best to the diagram? 2. y= A sin ko- 1. y = A sin ko - (25) -- () 2. y = A sin(kx - (39) +- (63) sin (er - () - ()] [62-(19) --() [63-(3) --() sin ka - ()--(*) 7., = Asin ka- (19) :-()] – A sin kr- () :-(-) 9. y = A sin k=-()- () 10. y =...
Can you do (b) and (c) only thank you PrOBleM: SoLuTiONS To THE WAvE EQuATION a)...
Can you do (b) and (c) only thank you
PrOBleM: SoLuTiONS To THE WAvE EQuATION a) By direct substitution determine which of the following functions satisfy the wave equation 1. g(z, t)-A cos(kr - wt) where A, k, w are positive constants 2. h(z,t)-Ae-(kz-wt)2 where A, k, ω are positive constants 3. p(x, t) A sinh(kx-wt) where A, k,w are positive constants 4. q(z, t) - Ae(atut) where A,a, w are positive constants 5. An arbitrary function: f(x, t) -...
A transverse harmonic wave travels on a rope according to the following expression: y(x, t) =...
A transverse harmonic wave travels on a rope according to the
following expression:
y(x, t) = A cos(kx − ωt − φ)
The mass density of the rope is μ = 0.113 kg/m. x and y are
measured in meters and t in seconds. Using the graphs at of y vs t
at x=0 and y vs x at t=0 shown below, answer the following
questions:
(a) What is the value for the wave number, k, for the expression
y(x,t)?...
A wave is described by y = 0.020 8 sin(kx - wt), where k = 2.22 rad/m, w = 3.66 rad/s, x and y are in meters, and t is in seconds
6. A wave is described by y = 0.020 8 sin(kx - wt), where k = 2.22 rad/m, w = 3.66 rad/s, x and y are in meters, and t is in seconds. (a) Determine the amplitude of the wave. (b) Determine the wavelength of the wave. (c) Determine the frequency of the wave. (d) Determine the speed of the wave. 7. When a particular wire is vibrating with a frequency of 3.00 Hz, a transverse wave of wavelength 64.0 cm is produced. Determine the...
The transverse displacement of an harmonic wave on a stretched rope is y = 0.05 cos(2.9...
The transverse displacement of an harmonic wave on a stretched rope is y = 0.05 cos(2.9 x - 5.8 t), where x and y are in meters and t is in seconds. 1) What is the amplitude of this wave? A = m 2) What is the wavelength of this wave? l = m 3) What is the speed with which this wave travels? |v| = m/s 4) In what direction is this wave propagating? +x -x +y -y +z...
1. The left figure is a history graph that shows the displacement D of a traveling wave at a given position as a function of time. The right figure is a snapshot graph that shows the displacement...
1. The left figure is a history graph that shows the displacement D of a traveling wave at a given position as a function of time. The right figure is a snapshot graph that shows the displacement of the same wave as a function of position. D (cm) D (cm) -1 -2 2/3 4 67 8 -2 (a) Determine the period T, the frequency f, and the angular frequency o for this wave. (b) Determine the wavelength 2, wavenumber K,...
a) By direct substitution determine which of the following functions satisfy the wave equation. 1. g(x,...
a) By direct substitution determine which of the following functions satisfy the wave equation. 1. g(x, t) = Acos(kx − t) where A, k, are positive constants. 2. h(x, t) = Ae where A, k, are positive constants. 3. p(x, t) = Asinh(kx − t) where A, k, are positive constants. 4. q(x, t) = Ae where A, a, are positive constants. 5. An arbitrary function: f(x, t) = f(kx−t) where k and are positive constants. (Hint: Be careful with...
The above figure shows height vs. displacement plot for a string which has a wave traveling...
The above figure shows height vs. displacement plot for a string
which has a wave traveling to in the positive x direction
at time t=2.9 sec with a velocity of 30 m/sec.
1) What is the amplitude of this wave?
2) What is the wavelength of this wave?
3) What is the frequency of this wave?
4) What is the vertical (y) velocity of a piece of
string at the point labeled 1? (Ans cm/ sec)
5) What is the...
4) The given wave is traveling in a rope to the right. t = 1 second de 18 m The wave Y= 1.5 sin(kx-wt) travels in the rope. *(1.5 is in cm) a) What is the amplitude of the wave? b) What is the frequency (f) (-in Hertz) of the wave ? ( see the above figure) How did you calculate it c) What is the period (T) (-in seconds) of the wave? (see the above figure). How did you...
PrOBleM: SoLuTiONS To THE WAvE EQuATION a) By direct substitution determine which of the following functions satisfy the wave equation 1. g(z, t)-A cos(kr - wt) where A, k, w are positive constants 2. h(z,t)-Ae-(kz-wt)2 where A, k, ω are positive constants 3. p(x, t) A sinh(kx-wt) where A, k,w are positive constants 4. q(z, t) - Ae(atut) where A,a, w are positive constants 5. An arbitrary function: f(x, t) - f(kx -wt) where k and w are positive constants....
At the position r = 0 A (meters) 30 t (seconds) 10 Which wave function corresponds best to the diagram? 2. y= A sin ko- 1. y = A sin ko - (25) -- () 2. y = A sin(kx - (39) +- (63) sin (er - () - ()] [62-(19) --() [63-(3) --() sin ka - ()--(*) 7., = Asin ka- (19) :-()] – A sin kr- () :-(-) 9. y = A sin k=-()- () 10. y =...
Can you do (b) and (c) only thank you
PrOBleM: SoLuTiONS To THE WAvE EQuATION a) By direct substitution determine which of the following functions satisfy the wave equation 1. g(z, t)-A cos(kr - wt) where A, k, w are positive constants 2. h(z,t)-Ae-(kz-wt)2 where A, k, ω are positive constants 3. p(x, t) A sinh(kx-wt) where A, k,w are positive constants 4. q(z, t) - Ae(atut) where A,a, w are positive constants 5. An arbitrary function: f(x, t) -...
A transverse harmonic wave travels on a rope according to the
following expression:
y(x, t) = A cos(kx − ωt − φ)
The mass density of the rope is μ = 0.113 kg/m. x and y are
measured in meters and t in seconds. Using the graphs at of y vs t
at x=0 and y vs x at t=0 shown below, answer the following
questions:
(a) What is the value for the wave number, k, for the expression
y(x,t)?...
1. The left figure is a history graph that shows the displacement D of a traveling wave at a given position as a function of time. The right figure is a snapshot graph that shows the displacement of the same wave as a function of position. D (cm) D (cm) -1 -2 2/3 4 67 8 -2 (a) Determine the period T, the frequency f, and the angular frequency o for this wave. (b) Determine the wavelength 2, wavenumber K,...
The above figure shows height vs. displacement plot for a string
which has a wave traveling to in the positive x direction
at time t=2.9 sec with a velocity of 30 m/sec.
1) What is the amplitude of this wave?
2) What is the wavelength of this wave?
3) What is the frequency of this wave?
4) What is the vertical (y) velocity of a piece of
string at the point labeled 1? (Ans cm/ sec)
5) What is the...
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