as showed in the picture i attached, if i want to turn a disk on which a force F2 is applied, how much torque do i need? if my disk angular velocity is supposed to be 60 rpm.
Can you describe the question more? Because I think that I didnt understand very well the question. Normally ,when the force (F1) bigger than the friction force (Which is occured by F2) of the structure, the structure start to turn and the force create a torque beacause of level arm (r1). As a results of torque in the structure you will have a angular velocity (rpm).
Also, you can think like you have a one mass and you start to push it. The force create an accelaration in the system and you will have any speeds in long or short term.
On the other hand, there is a correlation between Power, torque and rpm. If you need that, you can check the link:
How much torque is required to rotate a disc about its axis? is a more clear question for me. Am I right to ask above question? Torque=Force X Moment Arm (right formula?)