Physics - still confused -Please help

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In 9.7 s a fisherman winds 2.1 m of fishing line onto a reel whose radius is 30 cm (assumed to be constant as an approximation).
The line is reeled in at constant speed.
Determine the angular speed of the reel in rad/s.
Thank you.

  • Physics - still confused -Please help -

    The velocity of pulling in the line is is
    V = w * R , which means
    Linear speed = (Angular speed)*(Radius)
    = 2.1m/9.7s = 0.2165 m/s

    Angular speed = 0.2165/0.3
    = 0.7216 rad/s

  • Physics - still confused -Please help -

    r = .30 meters
    2 pi r = 1.88 m

    2.1/1.88 = 1.11 revolutions

    1.11 * 2 pi = 7 radians

    7 radians / 9.7 s = .722 rad/s

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