A cylindrical fishing reel has a mass of 0.7 kg and a radius of 5.24 cm. A friction clutch in the reel exerts a restraining torque of 1.88 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 65.7 rad/s 2. What force does the fish exert on the line? Answer in units of N.

Question

Physics

Jermaine Doyle

11 August, 06:53

A cylindrical fishing reel has a mass of 0.7 kg and a radius of 5.24 cm. A friction clutch in the reel exerts a restraining torque of 1.88 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 65.7 rad/s 2. What force does the fish exert on the line? Answer in units of N.

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Allisson Sawyer · Answer 1

moment of inertia of reel = 1/2 mr², m is mass and r is radius of the reel

=.5 x. 7 x. 0524²

= 96.1 x 10⁻⁵

If force required be F

F x. 0524 - 1.88 is net torque acting on the reel

F x. 0524 - 1.88 = moment of inertia x angular acceleration.

F x. 0524 - 1.88 = 96.1 x 10⁻⁵ x 65.7

F x. 0524 - 1.88 =.063

F x. 0524 =.063 + 1.88

F = 37.08 N