A fisherman is reeling in a fish. In 8.9 s he winds 3.4 m offishing line onto a

Question

A fisherman is reeling in a fish. In 8.9 s he winds 3.4 m offishing line onto a reel whose radius is 2.8 cm (assumed to beconstant as an approximation). The line is being reeled in at aconstant speed. Determine the angular speed of the reel.
***So I know that t= 8.9 sec and that the radius is .028meters. but what is the 3.4 metersof fishing line, how does thatfigure in?> A fisherman is reeling in a fish. In 8.9 s he winds 3.4 m offishing line onto a reel whose radius is 2.8 cm (assumed to beconstant as an approximation). The line is being reeled in at aconstant speed. Determine the angular speed of the reel.
***So I know that t= 8.9 sec and that the radius is .028meters. but what is the 3.4 metersof fishing line, how does thatfigure in?>

Explanation / Answer

   Linear speed of the fishingline      v   =   length/ time                                                                      =   3.4/ 8.9                                                                      =   0.382   m/s    This is the tangential speed of thereel.    Angularspeed      =   v/ r                                     =   0.382/ 0.028                                     =   13.64   rad/s

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