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Moment of inertia: Force of fish on the line; how much line unwinds?

A cylindrical fishing reel has a moment of inertia of I = 6.81à?10^-4 kg* m2 and a radius of 3.13 cm. A friction clutch in the reel exerts a restraining torque of 1.49 N*m if a fish pulls on the line. The fisherman gets a bite, and the reel begins to spin with an angular acceleration of 63.7 rad/s^2.

1) What is the force of the fish on the line?
2) How much line unwinds in 0.430 s?

Solution Preview

You have to use the equivalent of Newton's second law for rotational dynamics in this question:

Force x arm = Torque = I(moment of Inertia) x (angular acceleration)

Here there are two sources of torque, one is the fish pulling the line by applying its force to the line [applied at ...

Solution Summary

With an excellent explanation, the problem is solved.