Arc length trig vector problem

  • Thread starter torresmido
  • Start date
  • #1
20
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I need help with this homework problem:

Making a turn, a jetliner flies 2.1km on a circular path of radius 3.4km. Through what angle does it turn?

Any ideas that would help me in doing it??

thanks
 

Answers and Replies

  • #2
192
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*hint* arc length in trig.
 
  • #3
798
0
Why don't you try the forum specifically for homework, you will probably get more help there. :smile:
 
  • #4
765
15
Draw a diagram.
 
  • #5
798
0
I need help with this homework problem:

Making a turn, a jetliner flies 2.1km on a circular path of radius 3.4km. Through what angle does it turn?

Any ideas that would help me in doing it??

thanks

The formula for calculating the circumference [tex]\pi d[/tex]. You have the radius which is half the diametre, so in this case the diametre is 6.8. Now plug those figures into the formula. It should look like this...

[tex]\pi 6.8 = 21.35[/tex]

Now that you have the total circumference, you want to find out what fraction of the circumference the plane travels. I would do this by trying to find what 1 degree is, so I would go

[tex]\frac{360}{21.35}[/tex]

Now that you have what 1 degree is in relation to a length, you simply multiply

[tex]\frac{360}{21.35}2.1[/tex]

This will give you the angle in which the plane has travelled. It should be around 36 degrees but I will let you finish it off.

If you are having any trouble just say :smile:
 

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