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phy 201
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Angular velocity
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Ive looked at the qas and the equations page but i dont quite understand how we are to acquire angular velocity. Im not sure how its usually acquired from what ive seen it doesnt directly correlate to the radius shouldnt it or am i seeing wrong?
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Angular velocity is the rate at which angular position is changing.
Angular position is measured in units of angle. The standard unit of angle used in the mathematics of circular motion is the radian.
Angular position is represented by the variable theta.
Average angular velocity is, by the definition of average rate, equal to change in angular position divided by change in clock time.
Thus
omega_Ave = `dTheta / `dt.
On a circle, 1 radian of angle corresponds to an arc distance equal to the radius of the circle. So the distance traveled along the arc per unit of time is the number of radians traveled per unit of time, multiplied by the radius. That is
v = omega * radius
where v is the velocity along the arc and omega is the angular velocity.
All these relationships were used in the qa's, so you might want to review your work on the relevant qa's. The text also explains these relationships.
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