How do I calculate the total torque exerted on a rotating disk?

  • Thread starter Thread starter Sheneron
  • Start date Start date
  • Tags Tags
    Rotational
AI Thread Summary
To calculate the total torque on a rotating disk with a radius of 0.25m and mass of 8.00kg, a string is pulled with a force of 50.0 N while a frictional torque of 3.00 Nm acts at the axle. The initial calculation for torque combines the pulling force and the frictional torque, resulting in an incorrect total. The frictional torque is given directly, so the radius does not need to be applied for that component. The correct net torque is determined to be 9.5 Nm after accounting for the friction. Understanding the distinction between torque from force and given torque is crucial for accurate calculations.
Sheneron
Messages
360
Reaction score
0
[SOLVED] Easy rotational problem

Homework Statement


A string is wound around a uniform disk of radius 0.25m and mass 8.00kg. The end of the string is pulled with a constant force of 50.0 N, and there is a frictional torque acting at the axle of 3.00 Nm.
A) Find the total torque exerted on the disk

The Attempt at a Solution


I think I have it solved... just wanted to make sure and I have one question. It says that the frictional torque is acting on the axle, do I still use the radius r=0.25 to find the torque for that part? Here is what I did:

\Sigma \tau = \Sigma Fd
\Sigma \tau = (50)(0.25) + (-3)(0.25)
\Sigma \tau = 11.75 Nm

So is that how I would find the net torque?
 
Physics news on Phys.org
Sheneron said:
It says that the frictional torque is acting on the axle, do I still use the radius r=0.25 to find the torque for that part?
Careful. For friction they gave you the torque, not the force. So you don't have to use any radius to find the frictional torque.
 
Oh yeah I just realized that. so I guess what i meant to say would the net force end up being 9.5 Nm?
 
Sheneron said:
so I guess what i meant to say would the net force end up being 9.5 Nm?
The net torque is 9.5 Nm.
 
oops again...
Thanks.
 
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...
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
Back
Top