Vector Speed Problem: Truck & Wind Speed

In summary, a truck moving north at a speed of 70 km/h has an exhaust pipe that releases smoke at an angle of 20 degrees east of south. With the wind blowing directly towards the east, a vector triangle can be drawn to determine the velocity of the smoke. Using vector addition, the wind speed at the location can be calculated.
  • #1
bigk2331
3
0

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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  • #2
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:
 
  • #3
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]
 

What is a vector speed problem?

A vector speed problem involves calculating the speed and direction of an object or vehicle in relation to other factors, such as wind speed and direction.

How do you solve a vector speed problem?

To solve a vector speed problem, you must first identify all the known variables, such as the speed and direction of the object and the wind. Then, use vector addition to find the resultant vector, which represents the combined speed and direction of the object and the wind.

What is the difference between speed and velocity?

Speed is a measure of how fast an object is moving, while velocity is a measure of how fast an object is moving in a specific direction. In vector speed problems, both speed and velocity are important to consider.

How does wind affect the speed of a truck?

Wind can either help or hinder the speed of a truck, depending on its direction. If the wind is blowing in the same direction as the truck is moving, it can increase the truck's speed. However, if the wind is blowing in the opposite direction, it can slow down the truck's speed.

Why is it important to consider wind speed in vector speed problems?

Wind speed is an important factor to consider in vector speed problems because it can significantly affect the speed and direction of an object or vehicle. By taking into account wind speed, you can accurately calculate the resultant vector and determine the true speed and direction of the object.

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