# hints...

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Posted by T.Gracken on August 30, 2002 at 11:50:07:

In Reply to: angular velocity posted by Ryan on August 30, 2002 at 08:30:31:

: This is not a homework problem so please do not give me the answer- I just want a push in the right direction.

: Problem: I have some partical "P" moving along the line x=a at a constant velocity "v". The diagram shows point P in the first quadrant with a right triangle connecting the orgin "point "o", (a,0), and (a,p). The height p is labeled Y.

: I am looking to find the angular velocity and angular acceleration.

: I know that the angular distance is some fraction of the perimeter --> (dist op) * Theta

: and the distance OP would equal sqrt(y^2 + a^2)
: and theta would equal arcsin of y/OP or some other inverse trig.

: ----> Am I on the right track? I am asking because I feel like I am not using the constant velocity "v" in my setup.

If I understand you correctly, you have a point moving vertically (on a line x=a) at a constant velocity and you want to know how fast the angle formed by the x-axis and the line connecting the origin to the point is changing.

you might want to consider setting up a function where T (theta), is the angle. then the triangle formed will have adjacent side equal to a and let y = opposite side length (this position will be determined by the velocity of the point).

so tan(T)=y/a

or t = arctan(y/a)

then dT/dy (derivative of T with respect to y) will give angular velocity

and d2T/dt2 (second derivative) will give agular acceleration.

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