Now let us consider what happens if the fisherman applies a brake to the spinning reel, achieving

Question:

Now let us consider what happens if the fisherman applies a brake to the spinning reel, achieving an angular acceleration of - 300 rad/s2. How long does it take the reel to come to a stop?

Strategy

We are asked to find the time t for the reel to come to a stop. The initial and final conditions are different from those in the previous problem, which involved the same fishing reel. Now we see that the initial angular velocity is ω0 = 220 rad/s and the final angular velocity is zero. The angular acceleration is given to be a = -300 rad/s2. Examining the available equations, we see all quantities but tare known in @= @0 + at,making it easiest to use this equation.

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