Finding the Net Torque on a Rotating Cylinder

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SUMMARY

The net torque acting on a rotating cylinder with a radius of 1.14 m and a force of 4.41 N applied to the drum, alongside a core radius of 0.54 m with a force of 8.94 N, can be calculated using the formula Torque(net) = Torque 1 - Torque 2. The correct calculation involves determining the individual torques: Torque 1 (T1) is calculated as (1.14 m * 4.41 N) and Torque 2 (T2) as (0.54 m * 8.94 N). The net torque is then derived from the difference of these two values, ensuring to account for their directional effects.

PREREQUISITES
  • Understanding of torque and its calculation using the formula Torque = rFsin(phi)
  • Familiarity with the concepts of rotational motion and forces
  • Basic knowledge of vector components and their directional impacts
  • Ability to perform arithmetic operations involving forces and distances
NEXT STEPS
  • Study the principles of rotational dynamics and torque calculation
  • Learn about the effects of directionality in torque and how to represent them
  • Explore examples of net torque calculations in various mechanical systems
  • Investigate the relationship between torque and angular acceleration
USEFUL FOR

This discussion is beneficial for physics students, mechanical engineers, and anyone involved in understanding rotational mechanics and torque calculations.

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Homework Statement



A one-piece cylinder has a core section protruding from the larger drum and is free to rotate around its central axis. A rope wrapped around the drum of radius 1.14 m exerts a force of 4.41 N to the right on the cylinder. A rope wrapped around the core of radius 0.54 m exerts a force of 8.94 N downward on the cylinder.

What is the magnitude of the net torque acting on the cylinder about the rotation axis?
Answer in units of N · m.

Homework Equations



Torque(net)=Torque 1-Toque 2
Torque=rFsin(phi)

The Attempt at a Solution


I attempted to find the 2 Torques by multiplying the radius by the given forces. I then subtracted the negative force going clockwise (F1) from the positive force going counter clockwise.
 
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I have the same problem. The one I have is that r = 1.18m, F = 3.33 N for T1, I got -(3.33)(1.18) = -3.9294 (CW = negative). My T2 is (0.42)(6.7) = 2.814. And I do T1 + T2 = R2T2 - R1T1 = -1.1154. And I got it wrong. I also tried to square T1 and T2 since it says magnitude, but it doesn't work either. PLEASE HELP!
 
I am still completely lost on this problem.
 

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