Calculate Smallest Distance Between Baby Parts with Ultrasound Pulses

[Trail_Builder]

Homework Statement

If the ultrasound pulses are 3.5 microseconds (is \mu the right symbol for "micro"?) long, and travel 100mm in 70 micro seconds, what is the smallest distance one part of a baby can be behind another if the reflections can just be told apart (dont get mixed together in time).

Homework Equations

v = f x wavelength maybe?

The Attempt at a Solution

I couldn't find out how to do it in the textbook

can someone please explain the theory behind it, and possibly leave the calculation to me?

thnx

 

[learningphysics]

I'll give an analogy which I think will help illustrate what's happening... suppose you have 2 trucks each of length L... they are driving side by side at the same speed. At some point the first truck turns around in the opposite direction... the second truck turns around at a distance X beyond the spot where the first truck turned around...

How long does the distance X have to be, so that no parts of the two trucks are side by side... meaning one truck is completely behind the other on the way back?

 

[Trail_Builder]

umm, 0.5L by any chance?

cant really work it out mathematically, but that's what it would seem right logically in my head. because as one of the trucks turns around, by the time one of the truck goes distance 0.5L to X the one that has turned around has gone back 0.5L right?

 

[learningphysics]

umm, 0.5L by any chance?

cant really work it out mathematically, but that's what it would seem right logically in my head. because as one of the trucks turns around, by the time one of the truck goes distance 0.5L to X the one that has turned around has gone back 0.5L right?

Yes, exactly right. Thinking of the pulses like trucks that turn around in the same way... the distance between the two parts of the baby has to be 0.5*length of the pulse. Can you calculate the length of the pulse?

Find the speed of the pulse first. Then you can get the length.

 

[Trail_Builder]

so speed would be 0.1/0.00007 m/s

distance = speed x time, so i take it the length of the pulse is 0.005, and the so the final answer will be 0.0025m?

thnx for the help buddy

...

just check the answers and I am right :D

thnx

 

[learningphysics]

so speed would be 0.1/0.00007 m/s

distance = speed x time, so i take it the length of the pulse is 0.005, and the so the final answer will be 0.0025m?

thnx for the help buddy

...

just check the answers and I am right :D

thnx

Cool! Good job!