Question: The wave function y(x, t) for a certain standing wave on a string fixed at both ends is given by y(x, t) = (0.05 m)

The wave function y(x, t) for a certain standing wave on a string fixed at both ends is given by y(x, t) = (0.05 m) sin 2.5 m-1 x cos 500 s-1 t.

(a) What are the speed and amplitude of the two traveling waves that result in this standing wave?

(b) What is the distance between successive nodes on the string?

(c) What is the shortest possible length of the string?

Step by Step Solution

★★★★★

3.57 Rating (175 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a From Equation 1616 we find and f 225 m 251 m ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

10-P-O-S-W (124).docx

120 KBs Word File

Students Have Also Explored These Related Oscillations Mechanical Waves Questions!

Q:

A standing wave on a string fixed at both ends is vibrating at its fourth harmonic. If the length, tension, and linear density are kept constant, what can be said about the wavelength and frequency...

Q:

A string fixed at both ends and having a mass of 4.80 g, a length of 2.00 m, and a tension of 48.0 N vibrates in its second (n = 2) normal mode. What is the wavelength in air of the sound emitted by...

Q:

The fundamental frequency of a string fixed at both ends is 256 Hz. How long does it take for a wave to travel the length of this string?

Q:

"Write a conclusion. (Doesn't have to be super long, just two decent paragraphs)". 2 Experiment P09: Waves Waves Experiment P09 Objective Study the formation of standing waves on a vibrating string...

Q:

kinetic energy is converted into potential energy. When the ball falls back to the ground, the potential energy is converted back into kinetic energy. The total amount of energy in the system remains...

Q:

Can someone please help me with this, I want it similar to the example down below. I want help with a summary and application related to the topic that's covered and I am a bit confused about what...

Q:

Standing Waves and Wave Interference Background A right-moving incident wave y, reflects of the fixed end and a left-moving becomes wave, y', , with the same frequency and amplitude moving left-ward....

Q:

energy is converted back into kinetic energy. The total amount of energy in the system remains constant throughout this process Do the entire questions: One of the most fundamental principles of...

Q:

are the same regardless of where an observer is located. This principle has been confirmed by numerous experiments, including the famous Michelson-Morley experiment, and is a cornerstone of modern...

Q:

ergy in the system remains constant throughout this process Do the entire questions: One of the most fundamental principles of physics is the conservation of energy. This principle states that energy...

Q:

Is the relationship between Ciscos collaborative culture and the products and services it sells something that could work for all companies? Consider this issue for a consumer products company such...

Q:

Solve the following homogeneous linear systems. (a) x + y - 2z = 0 -x + 4y -3z = 0 (b) 2x + 3y - z = 0 -4x+3y-5z = 0 x - 3y + 3z = 0 (c) -x+y-4z = 0 - 2x + 2y - 6z = 0 x + 3y + 3z = 0 (d) x +2y-2z +...

Q:

4. What is the internal rate of return of a project?

Q:

Let S be a set of n lines in the plane such that no two are parallel and no three meet in the same point. Show, by induction, that the lines in S determine (n 2 ) intersection points.

Q:

The following figure is a Normal probability plot of the heart rates of 200 male runners after 6 minutes of exercise on a treadmill. Use the graph to determine if this distribution of heart rates is...

Q:

The spring is unstretched at the position x = 0. Under the action of a force P, the cart moves from the initial position x 1 = 6 in. to the final position x 2 = 3 in. Determine (a) The work done on...

Q:

What is the form of the assignment to the schemaLocation attribute?

Q:

Compute a simple index for the revenue of GE using the period 201314 as the base. What can you conclude about the change in revenue over the period? General Electric Employees (thousands) Revenue...

Q:

Assume that the price of a market basket of goods and services is $2,000 in the base period, $2,060 one year later, and $2,100 two years later. What is the price index in the base period? After the...

Q:

On a frictionless, horizontal air track, a glider oscillates at the end of an ideal spring of force constant 2.50 N/cm. The graph in Fig. 13.31 shows the acceleration of the glider as a function of...

Q:

A 0.500-kg mass on a spring has velocity as a function of time given by v(t) = (3.60 cm/s) sin [(4.71 S-I)t - 'IT/2]. What are (a) The period; (b) The amplitude; (c) The maximum acceleration of the...

Q:

A 1.50-kg mass on a spring has displacement as a function of time given by the equation x(t) = (7.40 cm)cos[(4.16 S-I)t - 2.42]. Find (a) The time for one complete vibration; (b) The force constant...

Q:

The table below shows historical annual returns for stocks of companies X and Y over recent years. Calculate the arithmetic average returns. In addition, calculate their historical variances, as well...

Q:

Monsters Incorporated (MI) is ready to launch a new product. Depending upon the success of this product, MI will have a value of either $100 million, $150 million, or $191 million, with each outcome...

Q:

XYZ Company income statement for April 2019 is shown below: Total Per Unit Sales (20,000 units) $ 300,000 $ 15.00 Variable expenses 180,000 9.00 Contribution margin 120,000 $ 6.00 Fixed expenses...