What is the Relative Velocity of Wind for a Cyclist Traveling at 20 km/h?

AI Thread Summary
The discussion focuses on calculating the relative velocity of wind for a cyclist traveling at 20 km/h against a wind blowing at 25 km/h. The cyclist is moving in the direction of 120 degrees while the wind is coming from 270 degrees. The solution provided uses the cosine rule, resulting in a relative velocity of 12.6 km/h and a direction of N 37.47 degrees. The initial calculation was confirmed as correct by another participant. This highlights the application of vector analysis in determining relative motion.
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Homework Statement



A wind is blowing at 25 km/h from the direction of 270 degrees . Find the magnitude and direction of the velocity of the wind relative to a cyclist traveling at 20 km/h in the direction of 120 degrees .

Homework Equations





The Attempt at a Solution



Using the cosine rule , i found the relative velocity to be 12.6 km/h . And the direction is N 37.47 degree .

Am i correct ?
 
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Hi thereddevils! :smile:

(it would help if you showed your full calculations)
thereddevils said:
Using the cosine rule , i found the relative velocity to be 12.6 km/h . And the direction is N 37.47 degree .

Am i correct ?

Yes. :smile:
 

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