Finding the position on a circle.

In summary, the conversation discusses a person running in a circle at constant speed on a cartesian plane with a radius of 10m. They are trying to determine the position when their speed is (3i + 3j) m/s in vector notation. The solution involves finding the length of the vector of the speed and drawing a picture to clearly understand the problem.
  • #1
astrololo
200
3

Homework Statement



Someone runs on a circle in the direction of a clock. He goes at constant speed. The circle is put in a xy plane that is centered at the origin. The radius is 10 m. At a certain moment he has a speed of (3i + 3j) m/s. Determine the position at this moment. (in vectorial notation)

Homework Equations


a^2+b^2=c^2

The Attempt at a Solution



3^2 + 3^2 = 18
4.24
Square root ( 18) = 4.24 m/sLast question for tonight, I promise.[/B]
 
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  • #2
The question asks for a position and you have specified a speed as your answer.
 
  • #3
phinds said:
The question asks for a position and you have specified a speed as your answer.
Yeah, but we need to find the length of the vector of the speed to be able to find the position, no ?
 
  • #4
What do i and j represent?
 
  • #5
phinds said:
What do i and j represent?
Oh, IM really sorry. i and j are vectorial units.
 
  • #6
astrololo said:
Oh, IM really sorry. i and j are vectorial units.
units of what? What I'm trying to get here is for you to specify more clearly just what it is that you know. You really should draw a picture.
 
  • #7
It's m/s
 
  • #8
astrololo said:
It's m/s
We're really getting nowwhere here. Draw a picture showing what you know and what you are tying to find out.
 

FAQ: Finding the position on a circle.

How do you find the position on a circle?

To find the position on a circle, you need to know the radius of the circle and the angle in radians. Then, you can use the formula x = r * cos(theta) and y = r * sin(theta) to calculate the x and y coordinates of the point on the circle.

What is the meaning of radius in finding the position on a circle?

The radius of a circle is the distance from the center of the circle to any point on its circumference. It is used in the formula to calculate the x and y coordinates of a point on the circle.

How do you convert degrees to radians when finding the position on a circle?

To convert degrees to radians, you can use the formula radians = degrees * (pi/180). This will give you the equivalent value in radians.

Can negative angles be used when finding the position on a circle?

Yes, negative angles can be used when finding the position on a circle. Negative angles indicate a clockwise rotation, while positive angles indicate a counterclockwise rotation.

Is there a difference between finding the position on a circle and finding the angle on a circle?

Yes, there is a difference. Finding the position on a circle involves calculating the coordinates of a point on the circle, while finding the angle on a circle involves calculating the measure of the angle between a given line and the radius of the circle.

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