A bat flying at 5.00 m/s is chasing an insect flying in the same direction. The bat emits a 40.0 kHz chirp and receives back an echo at 40.4 kHz. Assume the speed of sound is 343 m/s. 1. What is the equation for doppler shift? 2. If you were calculating the frequency of the chirp observed by the insect, what would the value of fs be? 3. For question 2, would vo represent the velocity of the bat or the insect? Does the motion of the insect increase or decrease the frequency observed by the insect? Would vo be positive or negative? 4. For question 2, would vs represent the velocity of the bat or the insect? Would vs be positive or negative? 5. Write the doppler shift equation to find the frequency of the chirp observed by the insect. Use fi for the frequency observed by the insect and vi for the velocity of the insect. (Do not solve this equation yet.) 6. If you were calculating the frequency of the chirp observed by the bat, what would the value of f0 be? 7. For question 6, what would the value of fs be? (Hint: use the value from question 5) 8. For question 6, would vo represent the velocity of the bat or the insect? Does the motion of the bat increase or decrease the frequency observed by the bat? Would vo be positive or negative? 9. For question 6, would vs represent the velocity of the bat or the insect? Would vs be positive or negative? 10.Write the doppler shift equation to find the frequency of the chirp observed by the bat. Use fi for the frequency observed by the insect and vi for the velocity of the insect. 11.Substitute the equation from question 6 into the equation for question 10. The only unknow variable should be the velocity of the insect. 12.If you solved the equation from question 10, you would find that the magnitude of the velocity of the insect is 3.29 m/s. Is the velocity flying towards or away from the bat? 13.Will the bat be able to catch the insect?

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Physics And Measurement

Section: Chapter Questions

Problem 1.29P

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A bat flying at 5.00 m/s is chasing an insect flying in the same direction. The bat emits a 40.0 kHz chirp and receives back an echo at 40.4 kHz. Assume the speed of sound is 343 m/s. 1. What is the equation for doppler shift? 2. If you were calculating the frequency of the chirp observed by the insect, what would the value of fs be? 3. For question 2, would vo represent the velocity of the bat or the insect? Does the motion of the insect increase or decrease the frequency observed by the insect? Would vo be positive or negative? 4. For question 2, would vs represent the velocity of the bat or the insect? Would vs be positive or negative? 5. Write the doppler shift equation to find the frequency of the chirp observed by the insect. Use fi for the frequency observed by the insect and vi for the velocity of the insect. (Do not solve this equation yet.) 6. If you were calculating the frequency of the chirp observed by the bat, what would the value of f0 be? 7. For question 6, what would the value of fs be? (Hint: use the value from question 5) 8. For question 6, would vo represent the velocity of the bat or the insect? Does the motion of the bat increase or decrease the frequency observed by the bat? Would vo be positive or negative? 9. For question 6, would vs represent the velocity of the bat or the insect? Would vs be positive or negative? 10.Write the doppler shift equation to find the frequency of the chirp observed by the bat. Use fi for the frequency observed by the insect and vi for the velocity of the insect. 11.Substitute the equation from question 6 into the equation for question 10. The only unknow variable should be the velocity of the insect. 12.If you solved the equation from question 10, you would find that the magnitude of the velocity of the insect is 3.29 m/s. Is the velocity flying towards or away from the bat? 13.Will the bat be able to catch the insect?

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