The string shown in the figure is driven at a frequency of 5.00 Hz. The amplitude of the motion is A = 14.0 cm, and the wave speed is v= 18.0 m/s. Furthermore, the wave is such that y = 0 at x = 0 and t= 0. v (a) Determine the angular frequency for this wave (in rad/s). 31.4 ✔rad/s (b) Determine the wave number for this wave (in rad/m). 1.74 rad/m (c) Write an expression for the wave function. (Use the following as necessary: t, x. Let x be in meters and t be in seconds. Do not include units in your answer. Assume SI units.) y= 0.14 sin 1.74x-31.4t (d) Calculate the maximum transverse speed (in m/s). 4.40 ✔ m/s (e) Calculate the maximum transverse acceleration of an element of the string (in m/s2). m/s2 (f) What If? If the driving frequency is now doubled to 10.0 Hz, what are the maximum transverse speed (in m/s) and maximum transverse acceleration (in m/s2) of an element of the string? maximum transverse speed m/s maximum transverse acceleration m/s2

The string shown in the figure is driven at a frequency of 5.00 Hz. The amplitude of the motion is A = 14.0 cm, and the wave speed is v= 18.0 m/s. Furthermore, the wave is such that y = 0 at x = 0 and t= 0. v (a) Determine the angular frequency for this wave (in rad/s). 31.4 ✔rad/s (b) Determine the wave number for this wave (in rad/m). 1.74 rad/m (c) Write an expression for the wave function. (Use the following as necessary: t, x. Let x be in meters and t be in seconds. Do not include units in your answer. Assume SI units.) y= 0.14 sin 1.74x-31.4t (d) Calculate the maximum transverse speed (in m/s). 4.40 ✔ m/s (e) Calculate the maximum transverse acceleration of an element of the string (in m/s2). m/s2 (f) What If? If the driving frequency is now doubled to 10.0 Hz, what are the maximum transverse speed (in m/s) and maximum transverse acceleration (in m/s2) of an element of the string? maximum transverse speed m/s maximum transverse acceleration m/s2

Name: E and F Please Thank you The string shown in the figure is driven at a
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Description: E and F Please Thank you The string shown in the figure is driven at a frequency of 5.00 Hz. The amplitude of the motion is A = 14.0 cm, and the wave speed is v= 18.0 m/s. Furthermore, the wave such that y = 0 at x = 0and t = 0.(a) Determine the angu

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Simple harmonic motion

Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.

Simple Pendulum

A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.

Oscillation

In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.

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Question

E and F Please Thank you

The string shown in the figure is driven at a frequency of 5.00 Hz. The amplitude of the motion is A = 14.0 cm, and the wave speed is v= 18.0 m/s. Furthermore, the wave such that y = 0 at x = 0
and t = 0.
(a) Determine the angular frequency for this wave (in rad/s).
31.4
✔rad/s
(b) Determine the wave number for this wave (in rad/m).
1.74✔
rad/m
(c) Write an expression for the wave function. (Use the following as necessary: t, x. Let x be in meters and t be in seconds. Do not include units in your answer. Assume SI units.)
y = 0.14
sin(1.74x-31.4t 1₁)
(d) Calculate the maximum transverse speed (in m/s).
4.40
✔ m/s
(e) Calculate the maximum transverse acceleration of an element of the string (in m/s2).
m/s2
(f) What If? If the driving frequency is now doubled to 10.0 Hz, what are the maximum transverse speed (in m/s) and maximum transverse acceleration (in m/s2) of an element of the string?
maximum transverse speed
m/s
maximum transverse acceleration.
m/s²

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