PHYSICS ASAP!? (25/26/27)?

A cylindrical fishing reel has a mass of 1.2 kg and a radius of 3.57 cm. A friction clutch

in the reel exerts a restraining torque of1.84 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 31.4 rad/s2

What force F does the fish exert on the line?Answer in units of N.

J = m/2*r^2 = 0.6*3.57^2*10^-4 kg*m^2

F*r-1.84 = J*α

F = (18.4 +J*α)/r = (1.84+0.6*3.57^2*10^-4*31.4)*100/3.57 =  52.2 N 

How much line L unwinds in 0.978 s? Answer in units of cm.

n = (α/2*t^2)/2PI = 15.7/2PI*0.978^2  revs

L = n*2PI*r = 15.7*0.978^2*3.57 = 53.6 cm 

mass of mgr = 826/9.8 kg

MoI J = m/2*r^2 = 826/19.6*1.3^2 = 71.2 kg*m^2

angular acceleration α = F*r/J = 66.6*1.3/71.2 = 1.216 rad/sec^2

angular velocity ω = α*t = 1.216*2.93 sec = 3.563 rad/sec 

KE = J/2*ω^2 = 35.6*3.563^2 = 452 joule 

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(pic for reference)