Vector Speed Problem: Truck & Wind Speed

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SUMMARY

The discussion focuses on solving a vector speed problem involving a truck moving north at 70 km/h and wind blowing directly east. The angle of the smoke trail emitted from the truck's exhaust pipe is 20 degrees east of south. Participants emphasize the importance of vector addition to determine the wind speed at that location, suggesting the use of a vector triangle to visualize the problem. The solution requires calculating the resultant velocity of the smoke and the wind's influence on it.

PREREQUISITES
  • Understanding of vector addition and its principles.
  • Familiarity with basic trigonometry, particularly sine and cosine functions.
  • Knowledge of how to draw and interpret vector diagrams.
  • Ability to apply physics concepts related to motion and velocity.
NEXT STEPS
  • Learn how to construct vector triangles for velocity problems.
  • Study the principles of vector addition in physics.
  • Explore trigonometric functions in the context of vector resolution.
  • Practice similar problems involving relative motion and wind effects on moving objects.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in mastering vector analysis in motion problems, particularly those involving relative velocities and wind effects.

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Homework Statement



A truck is moving north at a speed of 70 km/h. The exhaust pipe above the truck cab sends out a trail of smoke that makes an angle of 20 degrees east of south behind the truck. If the wind is blowing directly toward the east, what is the wind speed at that location?

Homework Equations





The Attempt at a Solution

 
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Welcome to PF!

Hi bigk2331! Welcome to PF! :wink:

(Velocities are vectors, and so obey the law of vector addition, so …)

Draw a vector triangle …

what do you get? :smile:
 
hello bigk2331, welcome to the PF


what do you think the velocity of the smoke [despite the wind effect] and its direction?
try to sketch the direction of the velocities mentioned in the problem, this is just a simple vector addition [put in mind the angle, so you can get the value needed]
 

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