(a) The transverse displacement of a disturbance in a medium is described by a wave function f(x, t) = 0.036 x cos(800t - 50x + π/6) metre. i. [3 marks] ii. What is the maximum transverse speed? [2 marks] [4 marks] (b) What is the speed and direction of propagation? iii. Sketch the wave profile at t = 0. iv. The wave encounters another similar wave but travelling in the opposite direction. Explain what happens. V. i. [2 marks] The wave encounters another wave g(x,t) = 0.036 x cos(960t - 60x) metre. Explain what happens. [2 marks] A source emitting a sound of frequency 2500 Hz approaches a listener at a speed of 30 m/s. Take the speed of sound in air to be 340 m/s. If the listener is stationary, what is the frequency of the perceived sound? [3 marks] ii. If the listener perceives a frequency of 2400 Hz, at what speed and direction is [4 marks] he/she moving? 1
(a) The transverse displacement of a disturbance in a medium is described by a wave function f(x, t) = 0.036 x cos(800t - 50x + π/6) metre. i. [3 marks] ii. What is the maximum transverse speed? [2 marks] [4 marks] (b) What is the speed and direction of propagation? iii. Sketch the wave profile at t = 0. iv. The wave encounters another similar wave but travelling in the opposite direction. Explain what happens. V. i. [2 marks] The wave encounters another wave g(x,t) = 0.036 x cos(960t - 60x) metre. Explain what happens. [2 marks] A source emitting a sound of frequency 2500 Hz approaches a listener at a speed of 30 m/s. Take the speed of sound in air to be 340 m/s. If the listener is stationary, what is the frequency of the perceived sound? [3 marks] ii. If the listener perceives a frequency of 2400 Hz, at what speed and direction is [4 marks] he/she moving? 1
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter13: Mechanical Waves
Section: Chapter Questions
Problem 10P: A transverse wave on a string is described by the wave function y=0.120sin(8x+4t) where x and y are...
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Don't use chatchat gpt
![(a)
The transverse displacement of a disturbance in a medium is described by a
wave function f(x, t) = 0.036 x cos(800t - 50x + π/6) metre.
i.
[3 marks]
ii.
What is the maximum transverse speed?
[2 marks]
[4 marks]
(b)
What is the speed and direction of propagation?
iii. Sketch the wave profile at t = 0.
iv. The wave encounters another similar wave but travelling in the opposite
direction. Explain what happens.
V.
i.
[2 marks]
The wave encounters another wave g(x,t) = 0.036 x cos(960t - 60x) metre.
Explain what happens.
[2 marks]
A source emitting a sound of frequency 2500 Hz approaches a listener at a speed
of 30 m/s. Take the speed of sound in air to be 340 m/s.
If the listener is stationary, what is the frequency of the perceived sound?
[3 marks]
ii. If the listener perceives a frequency of 2400 Hz, at what speed and direction is
[4 marks]
he/she moving?
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88f69407-8cd3-4c38-8205-582f9cfaae2e%2Ff79695e0-8fb4-485a-9ba9-68a4c723ee79%2F1iybac_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a)
The transverse displacement of a disturbance in a medium is described by a
wave function f(x, t) = 0.036 x cos(800t - 50x + π/6) metre.
i.
[3 marks]
ii.
What is the maximum transverse speed?
[2 marks]
[4 marks]
(b)
What is the speed and direction of propagation?
iii. Sketch the wave profile at t = 0.
iv. The wave encounters another similar wave but travelling in the opposite
direction. Explain what happens.
V.
i.
[2 marks]
The wave encounters another wave g(x,t) = 0.036 x cos(960t - 60x) metre.
Explain what happens.
[2 marks]
A source emitting a sound of frequency 2500 Hz approaches a listener at a speed
of 30 m/s. Take the speed of sound in air to be 340 m/s.
If the listener is stationary, what is the frequency of the perceived sound?
[3 marks]
ii. If the listener perceives a frequency of 2400 Hz, at what speed and direction is
[4 marks]
he/she moving?
1
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