Distance of travel in circular motion?

  • #1
I'm trying to figure out the distance traveled in a circular motion. This is for a traffic court case, I need to figure out how far my car traveled in an intersection.

So far, I've only been able to find equations for determining speed. I have speed. I have time. I also have the radius of the circular movement (I measured the intersection and made an average to determine the curve because the turn was not a perfect circle). What I need is distance.

What would be the equation to determine the distance traveled?
 

Answers and Replies

  • #2
652
18
I'm trying to figure out the distance traveled in a circular motion. This is for a traffic court case, I need to figure out how far my car traveled in an intersection.

So far, I've only been able to find equations for determining speed. I have speed. I have time. I also have the radius of the circular movement (I measured the intersection and made an average to determine the curve because the turn was not a perfect circle). What I need is distance.

What would be the equation to determine the distance traveled?

Not being a perfect circle messes this up a bit but if it's not too far out the circumfrence of a circle is 2∏r with r being your radius. If i'ts a 90 degree turn then your distance would be ≈ 2∏r/4 or ∏r/2 for your distance. A 180 degree turn would be twice that.
 
  • #3
davenn
Science Advisor
Gold Member
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Hi there
welcome to PF :)

since its something that actually happened.
what is stopping from physically measuring that distance ?
through an intersection so it must be in the 10 - maybe 100metres max
that is easily measurable with a good tape measure etc
you, I assume are not talking about half a km (500m) ?

cheers
Dave
 
  • #4
davenn
Science Advisor
Gold Member
9,574
8,624
what is stopping from physically measuring that distance ?
through an intersection so it must be in the 10 - maybe 100metres max
that is easily measurable with a good tape measure etc

are you ok are you a parrot??

why repost most of my post ??
thats a very pointless thing to do


to the Mods
I was considering reporting his post but it didnt fall within the guidelines

DAve
 
  • #5
650
3
Also, if you have distance and time, you could use that, with [itex]\displaystyle\bar{\left|\vec{v}\right|}= \dfrac{\left| \vec{p}\right|}{t}[/itex], where p is the distance travelled.
 

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