problem16_71

# University Physics with Modern Physics with Mastering Physics (11th Edition)

• Homework Help
• PresidentHackerCaribou10582
• 1

This preview shows page 1. Sign up to view the full content.

16.71: a) . 1 1 1 1 2 1 2 1 S S L R - + - = + - = + - = c v c v f f v c v c f f c v c v b) For small x , the binomial theorem (see Appendix B) gives ( 29 , 2 1 1 2 1 x x - - ( 29 , 2 1 1 2 1 x x - + - so - - c v f c v f f 1 2 1 S 2 S L where the binomial theorem has been used to approximate ( 29 . 1 2 1 2 x x - - The above result may be obtained without resort to the binomial theorem by expressing R f in terms of S f as . ) ( 1 ) / ( 1 ) ( 1 ) ( 1 ) ( 1 ) ( 1 2 S S R c v c v f c v c v c v c v f f - - = - - + - = To first order in c v , the square root in the denominator is 1, and the previous result is
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: c) For an airplane, the approximation c v << is certainly valid, and solving the expression found in part (b) for , v , s m 8 . 56 Hz 10 2.43 Hz 46.0 ) s m 10 00 . 3 ( 8 8 S beat S R S = × × = =-= f f c f f f c v and the approximation c v << is seen to be valid. Note that in this case, the frequency difference is known to three figures, so the speed of the plane is known to three figures....
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern