Asked by Nikhil
A plane has a velocity of 400 mph to the SW. A wind from the west is blowing at 50 mph. Find the resultant speed and direction.
How do i find resultant speed without a direction.
How do i find resultant speed without a direction.
Answers
Answered by
Reiny
SW is a direction.
Make a sketch on the N-S-E-W grid
SW is in the third quadrant, dividing it into two parts of 45° each.
Draw such a line OP, marking its length as 400 mph, and O at the origin. Draw a line PR horizontally to the right and mark it 50.
So now you have a triangle POR, where OP=400, angle OPR = 45 and PR = 50
By the cosines law:
OR^2 = 400^2 + 50^2 - 2(400)(50)cos45°
= ..
OR = √ ....
Now by the Sine law:
sinR/400 = sin45/OR
We can find angle R, then the direction of OR
Make a sketch on the N-S-E-W grid
SW is in the third quadrant, dividing it into two parts of 45° each.
Draw such a line OP, marking its length as 400 mph, and O at the origin. Draw a line PR horizontally to the right and mark it 50.
So now you have a triangle POR, where OP=400, angle OPR = 45 and PR = 50
By the cosines law:
OR^2 = 400^2 + 50^2 - 2(400)(50)cos45°
= ..
OR = √ ....
Now by the Sine law:
sinR/400 = sin45/OR
We can find angle R, then the direction of OR
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.