Help with a torque-rotational-inertia-force question please

  • Thread starter Thread starter Windwaker2004
  • Start date Start date
AI Thread Summary
To determine the force exerted by the fish on the line, the relevant equation is T = Iα, where T is the total torque, I is the moment of inertia, and α is the angular acceleration. Given the moment of inertia (I = 6.22×10^-4 kg·m²) and angular acceleration (α = 66.5 rad/s²), the total torque can be calculated. The friction clutch provides a resisting torque of 1.34 N·m, so the additional torque supplied by the fish must be accounted for. By solving for the force using the relationship between torque and force (T = F × r), the correct force can be derived. The calculations confirm that the method simplifies the problem significantly.
Windwaker2004
Messages
34
Reaction score
0
A cylindrical fishing reel has a moment of inertia of I=6.22×10-4 kg·m2 and a radius of 4.44 cm. A friction clutch in the reel exerts a restraining torque of 1.34 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 66.5 rad/s2. What is the force of the fish on the line?

I would like to know if the proper acceleration to use here to calculate force would be the tangential acceleration. Also, when I use T = Fxr... does the value of F get subtracted from the force the fish is pulling with? I also can't figure out how to use the inertia in this because if I solve for mass using I = MR^2 ... that's the mass of the reel which makes no sense in using to calculate force. Anyway any help would be greatly appreciated! Thanks in advance!
 
Physics news on Phys.org
You just work with angular acceleration.

The eqn to use here is T= Iα

You are given the values of I and α, so what is the torque providing this (angular) accln ?

You are given the resisting torque of the reel, so what must be the additional torque supplied by the fish ?

And finally, what must be the force giving this torque ?
 
Thank you so much for your help. I made it a lot more complicated than that method. I worked it out and got the correct answer. Thanks again!
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top