Warm-up Exercises 1. [lpt] Consider a Gaussian wave pulse with amplitude 1 cm trarelling on a...
1. [1pt]
Consider a Gaussian wave pulse with amplitude 1 cm travelling on a
4 m long string with two free ends, as shown. If the wave travels
at 1 m/s, then what is the displacement y at x = 0 m and t = 6 s?
Make sure you can explain your reasoning in terms of the physics of
wave reflections and superposition.
1)
y (cm) -1
A 200 Hz harmonic wave with an amplitude equal to 2 cm moves along a 40 m long string that has a mass of 120 grams and a tension of 50N. Considering that there is no energy lost, find: the power transmitted past a given point on the string and total average energy on a 20-m long segment of the string If the energy is lost in the process, the amplitude of the wave decreases as it travels along the...
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A wave travels along a string in the positive x -direction at 23.8 m/s . The frequency of the wave is 51.3 Hz . At x = 0 and t = 0 , the velocity of the string in the y -direction is 2.11 m/s and the vertical displacement is y = 2.31 mm . Write the function y(x, t) for the wave. Pont A in the figure below is 39.1 cm below the ceiling. Determine how much...
no 1 and 2
Homework 3A: Standing Waves 1. Two waves propagate in one direction on a stretched rope. The frequency of the waves is 120 Hz. Both have the same amplitude of 4 cm and wavelength of 0.04 m. (a) Determine the amplitude of the resultant wave if the two original waves differ in phase by Tm/3? (b) What is the phase difference between the two waves if the amplitude of the resultant wave is 0.05 cm? 2. Two...
12. A longitudinal standing wave can be created in a long, thin aluminum rod by stroking the rod with very dry fingers. This is often done as a physics demonstration, creating a high-pitched, very annoying whine. From a wave perspective, the standing wave is equivalent to a sound standing wave in an open-open tube. In particular, both ends of the rod are anti-nodes. What is the fundamental frequency of a 2.50 m -long aluminum rod? The speed of sound in...
t = 0 ms (a) (4 marks) A sinusoidal wave moving along a string is shown twice in the figure at time t = 0 (top) and time t = 4t (bottom). After At = 4.0 ms, the crest travels d=6.0 cm in the positive x direction. The equation for the wave is in the form 8 mm H HHHx y(x, t) =Ym sin(kx = wt). t = 4 ms What are (i) ym, (ii)k, (iii) w, and (iv) the...
1. Use the equation yetar(x.0 - 2A cos(cos(x-ot +) to determine the initial displacement of the total wave when (a) ф-: 0 (b) ф з (c) ф-2 (d) ф :IT (e) ф-300"(f) ф-270" 2. (a) What is the relationship between sound level, energy, power and intensity? would the intensity of a sound heard by a listener be reduced if the listener moved three times further away from the source? 9 (b) By what proportion 3. For a standing wave on...
question 4-7
4. Travelling Waves and Their Characteristics A rope wave travels in the positive x -direction. You are also told that the speed of the wave is 1000 cm/s, its frequency is 200 Hz, and that the wave is subject to the following initial conditions: at x 0 and t = 0: y =-1 cm, and, at x = 0 and t : ar = +20 cm/s (this is the velocity of the point on the rope at horizontal...
Question 4 to 11 plz Dr?
Standing Waves on a String Physics Topics If necessary, review the following topics and relevant textbook sections from Serway / Jewett "Physics for Scientists and Engineers", 9th Ed. • Mathematics of Traveling Waves (Serway 17.2) • Speed of Waves on a String (Serway 17.3) • Superposition of Waves (Serway 18.1) • Standing Waves on a string (Serway 18.2, 18.3) Introduction Imagine two sinusoidal traveling waves with equal amplitudes and frequencies moving in opposite directions....
DQuestion 5 1 pts A simple harmonic oscillator at the point x-0 generates a wave on a horizontal rope. The oscillator operates at a frequency of 40.0 Hz and with an amplitude of 3.00 cm. The rope has a linear mass density of 50.0 g/m, and is stretched with a tension of 5.00 N. Find the maximum transverse acceleration of points on the rope, in m/s? Sample submission: 1230 Note: your answer should be much larger than g. which is...