Line Reel

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Frequently Asked Questions...

What is the angular speed of the reel if the line is being reeled in at a constant speed?

In 8.6 s a fisherman winds 2.0 m of fishing line onto a reel whose radius is 3.0 cm (assumed to be constant as an approximation). (rad/s)


Answer:

2 meter (200 cm) line will rotate the 3 cm radius reel 200/2*pi*3 rotations. One roration 360deg = 2pi radians.

So the angular speed = 200/(6 pi) * 2 pi /8.6 sec
= (400/6) / 8.6 = 7.75 radians/sec

-TJ

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