×
×

# CALC Speed of Propagation vs. Particle Speed. (a) Show ISBN: 9780321675460 31

## Solution for problem 12E Chapter 15

University Physics | 13th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants University Physics | 13th Edition

4 5 1 329 Reviews
17
0
Problem 12E

CALC Speed of Propagation vs. Particle Speed. ?(a) Show that Eq. (15.3) may be written as (b) Use y(x, t) to find an expression for the transverse velocity of a particle in the string on which the wave travels. (c) Find the maximum speed of a particle of the string. Under what circumstances is this equal to the propagation speed u?Less than u? Greater than u?

Step-by-Step Solution:
Step 1 of 3

Solution 12E Equation 15.3 is given as, y(x,t) = Acos[2f( t)] v (a) Let us simplify this equation. y(x,t) = A cos[2f( xv)] v 2f y(x,t) = A cos[ v (x vt)] y(x,t) = A cos[ vT(x vt)] (since frequency f = 1/Time period) y(x,t) = A cos[ (x vt)] (since wavelength = vT ) …..(1) This is the required form we need to find. Now, the equation (1) can also be written as, 2 y(x,t) = A cos(kx t) …..(2), where k = and 2v/ = 2f = (b)...

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321675460

This textbook survival guide was created for the textbook: University Physics, edition: 13. Since the solution to 12E from 15 chapter was answered, more than 557 students have viewed the full step-by-step answer. University Physics was written by and is associated to the ISBN: 9780321675460. The answer to “CALC Speed of Propagation vs. Particle Speed. ?(a) Show that Eq. (15.3) may be written as (b) Use y(x, t) to find an expression for the transverse velocity of a particle in the string on which the wave travels. (c) Find the maximum speed of a particle of the string. Under what circumstances is this equal to the propagation speed u?Less than u? Greater than u?” is broken down into a number of easy to follow steps, and 66 words. This full solution covers the following key subjects: speed, particle, propagation, string, Find. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The full step-by-step solution to problem: 12E from chapter: 15 was answered by , our top Physics solution expert on 05/06/17, 06:07PM.

Unlock Textbook Solution