- #1
TheColector
- 29
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Homework Statement
Hi
Given the linear velocity formula: v* v^ = r*ω(-sinθi^ + cosθj^)
i^, j^, v^ - unit vectors
I'm to prove that v^ has direction, turn and magnitude
Magnitude:
|v^| = sqrt((-sinθ)^2 + (cosθ)^2) = 1 (as is also stated in unit vector's definition)
Direction and turn:
-sinθ i^ +cosθj^ - describes a circular motion
And this is the part I can't prove. How am I to prove that formula above describes circular motion ? And how to determine direction and turn ?( I mean it changes every time the movement is made)
I can explain it on a paper with a drawing of a circle and the object moving there.