   # The wave function for a traveling wave on a taut string is (in SI units) y (x, t) = 0.350 sin (10πt - 3π x + (a) What are the speed and direction of travel of the wave? (b) What is the vertical position of an element of the string at t = 0, x = 0.100 111? What are (c) the wavelength and (d) the frequency of the wave? (e) What is the maximum transverse speed of an element of the string? ### Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399

#### Solutions

Chapter
Section ### Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399
Chapter 16, Problem 16.9P
Textbook Problem
654 views

## The wave function for a traveling wave on a taut string is (in SI units)y(x, t) = 0.350 sin (10πt - 3πx + (a) What are the speed and direction of travel of the wave? (b) What is the vertical position of an element of the string at t = 0, x = 0.100 111? What are (c) the wavelength and (d) the frequency of the wave? (e) What is the maximum transverse speed of an element of the string?

(a)

To determine

The speed and direction of wave.

### Explanation of Solution

Given info: The wave function of the wave is y(x,t)=0.350sin(10πt3πx+π4) .

The unit vector in x direction is i^ and the wave is travelling in x direction.

The standard equation of the wave is,

y(x,t)=Asin(kxωt)

Here,

A is amplitude of the wave.

k is angular wave number of wave.

ω is angular velocity of wave.

t is time period of wave.

The given equation of wave is,

y(x,t)=0.350sin(10πt3πx+π4) (1)

Compare the above two equations

(b)

To determine

The vertical position of the element of string.

(c)

To determine

The wave length of the wave.

(d)

To determine

The frequency of the wave.

(e)

To determine

The maximum transverse speed of the element of string.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
What is the function of the central vacuole in plants?

Biology: The Dynamic Science (MindTap Course List)

The BMI standard is an excellent tool for evaluating obesity in athletes and the elderly. T F

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

Why was Pluto reclassified as a dwarf planet?

Foundations of Astronomy (MindTap Course List)

What biological evidence supports plate tectonics theory?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin 