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18. Waves & Sound

Wave Functions & Equations of Waves

18. Waves & Sound

Wave Functions & Equations of Waves

Guided videos.

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The Mathematical Description Of A Wave

Graphs Of Mathematical Representation of Wave

Velocity Of A Wave

Additional 3 creators.

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Physics - Mechanics: Mechanical Waves (9 of 21) The Wave Equation

Michel van Biezen

Introduction to Wave Function

The Wave Function

Physics - Mechanics: Mechanical Waves (10 of 21) The Wave Equation in 1-Dimension

Michel van Biezen

Periodic Traveling Wave Motion as a Function of x AND t | Doc Physics

Bozeman Science

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Practice this topic

Multiple Choice

Write the mathematical representation of the wave graphed in the following two figures.

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Multiple Choice

A transverse wave is represented by the following function: $y=\left(18\operatorname{cm}\right)\sin\left\lbrack2\pi\left(\frac{x}{2\operatorname{cm}}-\frac{t}{5s}+\frac14\right)\right\rbrack$ . What is the phase angle of this wave?

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Multiple Choice

The function for some transverse wave is ? = (0.5 m) sin [(0.8 m⁻¹)x − 2?(50 Hz)t + π/3]. What is the transverse velocity at t=2 s, x=7 cm? What is the maximum transverse speed? The maximum transverse acceleration?

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Multiple Choice

The vertical displacement of a wave moving along the x-axis is given by

y (x, t) = (0.045 m) \cos ((3.4 Hz) t - (4.5 m^{- 1}) x)

. What is the wave speed and in what direction is it traveling?

Textbook Question

A fellow student with a mathematical bent tells you that the wave function of a traveling wave on a thin rope is y(x, t)=2.30mm cos[(16.98 rad/m^)x+(742 rad/s)t]. Being more practical, you measure the rope to have a length of 1.35 m and a mass of 0.00338 kg. You are then asked to determine the following: (d) wave speed; (e) direction the wave is traveling;

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Textbook Question

A fellow student with a mathematical bent tells you that the wave function of a traveling wave on a thin rope is y(x, t)=2.30mm cos[(16.98 rad/m^)x+(742 rad/s)t]. Being more practical, you measure the rope to have a length of 1.35 m and a mass of 0.00338 kg. You are then asked to determine the following: (a) amplitude; (b) frequency; (c) wavelength; (d) wave speed; (e) direction the wave is traveling; (f) tension in the rope; (g) average power transmitted by the wave.

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Textbook Question

A wave on a string is described by D (x,t) = (2.00 cm) ✕ sin [(12.57 rad/m)x ─ (638 rad/s) t], where x is in m and t in s. The linear density of the string is 5.00 g/m. What are c. The maximum speed of a point on the string?

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Textbook Question

A sound wave is described by D (y,t) = (0.0200 mm) ✕ sin [(8.96 rad/m)y + (3140 rad/s)t + π/4 rad], where y is in m and t is in s. b. Along which axis is the air oscillating?

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Textbook Question

FIGURE P16.45 is a snapshot graph at t = 0 s of a 5.0 Hz wave traveling to the left. c. Write the displacement equation for this wave.

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Textbook Question

Show that the displacement D(x,t) = cx² + dt², where c and d are constants, is a solution to the wave equation. Then find an expression in terms of c and d for the wave speed.

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Showing 10 of 10 practice