A cylindrical fishing reel has a mass of .60 kg and a radiusof 4.4 cm. a frictio

Question

A cylindrical fishing reel has a mass of .60 kg and a radiusof 4.4 cm. a friction clutch in the reel exerts a restrainingtorque of 1.5 Nm if a fish pulls on the line. the fishermangets a bite, and the reel begins to spin with an angularacceleration of 66 rad/s2) a)find the force of the fish on the line. (N) b) find the amount of line that unwinds in 50 s. (m) A cylindrical fishing reel has a mass of .60 kg and a radiusof 4.4 cm. a friction clutch in the reel exerts a restrainingtorque of 1.5 Nm if a fish pulls on the line. the fishermangets a bite, and the reel begins to spin with an angularacceleration of 66 rad/s2) a)find the force of the fish on the line. (N) b) find the amount of line that unwinds in 50 s. (m)

Explanation / Answer

   a.   M.I. of reel ( assumingit to be a hollow cylinder)   I = m *r2        I   =   0.60 *( 4.4 *10-2)2   =   1.16*10-3   kg-m2       Nettorque      =   I* angular acceleration()   =   1.16 * 10-3* 66   =   7.656 *10-2   N-m      Torque applied byfish   f   =      +   friction   =   7.656*10-2   +   1.5   =   1.576    N-m          Forceapplied byfish   F   =   f/ r   =   1.576 / 4.4 *10-2   =   35.83   N    b.   Angular displacement ofreel      =   0* t   +   0.5 * *t2             =   0* 50   +   0.5 * 50 *502   =   62500   rad          also      =   arclength / radius          62500   =   L/ 4.4 * 10-2       length of fishing linethatunwinds   L   =   62500* 4.4 *10-2   =   2750   m       length of fishing linethatunwinds   L   =   62500* 4.4 *10-2   =   2750   m

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