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Now we take the derivative of both sides with respect to time, using implicit differentiation. Since the radius is given as 1 unit, we can write this equation as Now we need to relate the position to the angle. This gives us the change in the angle with respect to time. We find this by dividing the amount of radians in one revolution,, by the time it takes to travel one revolution, 8 seconds. The angular speed is simply how many radians the particle travels in one second. Since the problem gives the time for one orbit, we can find the angular speed of the point.
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