A winch of radius R = 9 cm is used to reel in a fishing line on a boat. The winch rotates, accelerating from rest for a time duration of 1 s with a constant angular acceleration α up to an angular velocity ωmax = 2.6 rad/s. After 1 s, the angular velocity remains constant at 2.6 rad/s. How much of the fishing line is reeled in after 5 s?
If we can find the angle rotated by the winch then then we can calculate the distance by which the winch reels.
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