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

In summary, a cyclist traveling at 20 km/h in the direction of 120 degrees will experience a relative velocity of 12.6 km/h from a wind blowing at 25 km/h from the direction of 270 degrees. The direction of the relative velocity is N 37.47 degrees.
  • #1
thereddevils
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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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  • #2
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:
 

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

What is the relative velocity of wind?

The relative velocity of wind is the speed at which the wind is moving relative to a stationary object. It takes into account both the speed and direction of the wind compared to the object.

How is the relative velocity of wind measured?

The relative velocity of wind is typically measured using an anemometer, which is a device that uses rotating cups or vanes to measure the wind speed. The direction of the wind can also be measured using a wind vane.

What factors affect the relative velocity of wind?

The relative velocity of wind can be affected by various factors such as the speed and direction of the wind at the source, the topography of the surrounding area, and the presence of obstacles or buildings that can alter the wind direction and speed.

How does the relative velocity of wind impact weather patterns?

The relative velocity of wind plays a significant role in shaping weather patterns. Strong winds can lead to storms and hurricanes, while calm winds can result in clear and sunny skies. Wind also helps to transport moisture and heat, influencing temperature and precipitation patterns.

Can the relative velocity of wind be used for renewable energy production?

Yes, the relative velocity of wind can be harnessed for renewable energy production through wind turbines. As the wind passes through the blades of a turbine, it causes them to rotate and generate electricity. This is a clean and sustainable way to produce energy without relying on fossil fuels.

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