The velocity of wave in a stretched string is proportional to Vī (d) 1//T (a) (b) T (c) 1/T
Q: A string oscillates according to the equation D(x, t) = (0.50 cm) sin GCT cm-¹)x] cos[(40ns-¹)t]…
A: Given a equation of string oscillator D(x,t)=(0.50cm)sin[(π/3)x]cos(40πt)
Q: The function y(x, t) = 3 describes a wave. Show that this function satisfies the wave x-5t 1 azy…
A: Given, then partial time derivative of y will be, Again differentiating with time, ......1
Q: A transverse traveling wave on a string is given by: y(x,t) = (2 cm). sin((100 s-1)t - (12 m-1)x)…
A: Wave equation:y(x,t) = (2 cm). sin((100 s-1)t - (12 m-1)x)Compare with standard equation of wave, ω…
Q: A wave is sent back and forth along a rope 4 m long with a mass of 1.5 kg by exerting a force of 30…
A: Given data: Length (L) = 4 m Mass (m) = 1.5 kg Force (F) = 30 N Required: The linear mass density…
Q: What are the parts of this traveling wave? y(x,t) = (9.00 m) sin( (67 m¯¹)x+ (4π rad/s)t - л/8) 9.…
A: Given: Equation of wave as yx,t=9 msin6π m-1x+4π rad/st-π8 To find: (a) Velocity of wave. (b) Period…
Q: (V.) Suppose a transverse wave has function D=4.0(mm)sin(2.0(pi)x-(pi)t), and pass by a medium…
A: The wave equation: D=(4.0 mm)sin2πx-πt
Q: Two harmonic waves traveling in opposite directions interfere to produce a standing wave described…
A: Given in question - Equation of wave: y=2Sin(4x)Cos(3t) To find: What is the speed (in m/s) of the…
Q: The equation of a wave in the international system SI, which propagates by a string is given by the…
A: we have yx,t=0.08cos4πx-8πt
Q: The wave function for a traveling wave on a taut string is (in SI units) y(x,t) = 0.300 sin (137t –…
A: The wave function for a travelling wave on a taut string is y(x,t)=0.3sin(13πt-2πx+π4)
Q: Two identical traveling waves, moving in the same direction, are out of phase by π/2 rad. What is…
A: According to the principle of superposition of waves, the resultant amplitude of two waves is the…
Q: (a) What is the speed of the wave (b) What is the displacement of a particle at λ/2. (c) What is the…
A: The equation of wave is given by; y=2.1sin397t+9.23x
Q: In which situation's would angular acceleration be negative? Select all that apply 1. An object is…
A: The rate of change of angular velocity with respect to time is known as angular acceleration. We…
Q: The wave function for a traveling wave on a taut string is (in SI units) TT y(x,t) = 0.340 sin |…
A:
Q: A periodic vibration at x = 0, t = 0 displaces air molecules along the x direction by smax = 3.2E-05…
A:
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- Given y=0.3cos(10t-4x), find the frequency, wavelength, wave velocity, direction of propagation, and the displacement at t=0, x=0. Please include all calculations and units.A certain transverse wave is described by t У(х, t) — (6.50тт) сos 2T 28.0cm 0.036s Determine the wave's amplitude; wavelength; frequency; speed of propagation; direction of propagation.4) A wave traveling along a very long string (not a standing wave) has the function y(x,t) = (3.2mm) sin [(69.8 rad/m) x + (13690 rad/s) t + 2.19rad]. Find the velocity of the wave.
- A geological disturbance in San Andreas fault generated a seismic wave that was detected in Phoenix, AZ, approximately 1000 km from the epicenter. If such waves travel at an average speed of 6.5 km/s, what would be the time-lag between the disturbance and the detection? How does this speed compare with that of sound waves in air at a day temperature of 23°C? 2.6 min, vseismic/ Vsound 19 O 2.6 min, vseismie/ Vsound 26 O 2.9 min, vseismie/ Vsound 29 O 3.2 min, vseismic/ Vsound 21A wave is described by the equation: with t in seconds and x in metres. (i) € (iv) y(x, t) = 0.6 sin[(2t - 6x) + +핑 Find the frequency, wavelength and wave number of this wave [Hint: write (2t-6x) as -(6x-2t) and then use trigonometric identities to interpret what y(x,t) = Asin[-(kx-ot)] represents graphically compared to y(x,t) = Asin(kx-cot). What is the propagation velocity/wave speed of this wave? What is the displacement and velocity of a particle at x = 0,3 m at t = 2 s? Based on your answer in (c) above, is the particle at x = 0,3 m moving away or towards the equilibrium at t = 2 s? Explain.A wave propagation is represented by y = 4 sin (20nt – x) where x is in cm and t is in s. Calculate the 4. (a) (b) (c) Wavelength Frequency Velocity [1 = 12 m; f = 10 Hz; v = 120 ms-1]