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Suppose a bat uses sound echoes to locate its insect prey,

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs ISBN: 9781938168000 42

Solution for problem 11PE Chapter 17

College Physics | 1st Edition

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College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

College Physics | 1st Edition

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Problem 11PE

Suppose a bat uses sound echoes to locate its insect prey, 3.00 m away. (See Figure 17.10.) (a) Calculate the echo times for temperatures of 5.00ºC and 35.0ºC . (b) What percent uncertainty does this cause for the bat in locating the insect? (c) Discuss the significance of this uncertainty and whether it could cause difficulties for the bat. (In practice, the bat continues to use sound as it closes in, eliminating most of any difficulties imposed by this and other effects, such as motion of the prey.)

Step-by-Step Solution:
Step 1 of 3

Solution 11PE

Bat uses echo from sound produced by it to locate prey at night, since echo distance is twice that of prey distance.

The expression to find the speed of the sound at temperature  is,

=

Here is speed of sound,   is speed of sound at and  is temperature of air.

Temperature of air is, convert into kelvin.

T =  + 273

   = 275 K

Substitute, 331 m /s for ,  = 278 K for T in the above expression of speed of sound,

= (331 m/s)

       = 334 m/s

The expression to find the distance d is,

d =

Rearrange the expression for time,

t =  

Substitute 6m for d (since echo distance is twice that of prey distance) and 334 m/s for  in the expression of the expression of time to find time for echo of sound  at temperature  .

=

        = 0.017964 s

        = (0.017964 s)

        

Therefore, time required to locate prey at  is

Step 2 of 3

Chapter 17, Problem 11PE is Solved
Step 3 of 3

Textbook: College Physics
Edition: 1
Author: Paul Peter Urone, Roger Hinrichs
ISBN: 9781938168000

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