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DETERMINE THE RESULTANT VELOCITY OF 75 M/SEC, 25 DEGREES EAST OF NORTH AND 100 M/SEC, 25 DEGREES EAST OF SOUTH

Guest Sep 30, 2014

Best Answer 

 #1
avatar+86859 
+10

We have two vectors here   v1 = < 75cos(65) , 75sin(65) >    and v2 = < 100cos(295), 100sin(295) >

Adding the x components, we have   75cos(65)  + 100cos(295) = about 73.96

Adding the x components, we have   75sin(65)  + 100sin(295) = about -22.66

And the resultant is given by

√[73.96+ (-22.66)2 ] =  about 77.35

And the resultant angle is given by

tan-1(-22.66/73.96) = about -17.03° or about  S(72.97°)E    (using "heading" notation)

 

CPhill  Sep 30, 2014
 #1
avatar+86859 
+10
Best Answer

We have two vectors here   v1 = < 75cos(65) , 75sin(65) >    and v2 = < 100cos(295), 100sin(295) >

Adding the x components, we have   75cos(65)  + 100cos(295) = about 73.96

Adding the x components, we have   75sin(65)  + 100sin(295) = about -22.66

And the resultant is given by

√[73.96+ (-22.66)2 ] =  about 77.35

And the resultant angle is given by

tan-1(-22.66/73.96) = about -17.03° or about  S(72.97°)E    (using "heading" notation)

 

CPhill  Sep 30, 2014
 #2
avatar+92623 
0

thanks Chris,

One day I will get the time to 'study' your vector answers.    

Melody  Sep 30, 2014

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