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- How to calculate the force acting on the teeth of paired gears knowing only the angle of rotation instead of torque?

Hi,

in books about machine design fundamentals, one may easily find the formulas for forces acting on the teeth of paired spur gears. They require torque as input. For example, for the tangential force: $$F=\frac{2T}{d}$$

where: ##T## - torque applied to the driven gear, ##d## - pitch diameter of the gear.

However, in my case, only the angle of the rotation of the driven gear is known. Can it be used to determine the torque necessary for the aforementioned force calculations?

in books about machine design fundamentals, one may easily find the formulas for forces acting on the teeth of paired spur gears. They require torque as input. For example, for the tangential force: $$F=\frac{2T}{d}$$

where: ##T## - torque applied to the driven gear, ##d## - pitch diameter of the gear.

However, in my case, only the angle of the rotation of the driven gear is known. Can it be used to determine the torque necessary for the aforementioned force calculations?