How does gear system amplify force?

[null void]

If i have a small spur gear, and i rotate it and transfer the rotation to another gear with bigger pitch diameter. The output gear(bigger gear) will turn slower right? then does this mean the torque force transferred to the output is greater?

So when the output gear is connected to a rope to pull something up, i have to convert the torque force to by dividing the radius?

 

[mfb]

The output gear(bigger gear) will turn slower right? then does this mean the torque force transferred to the output is greater?

Right

So when the output gear is connected to a rope to pull something up, i have to convert the torque force to by dividing the radius?

Right

 

[null void]

Here is the real question, if i have a input gear with radius r, and output radius of 2r, when i apply force, f on input gear, the output gear can produce torque force of 2rf ?

when converting the torque force into force, i get f back as the output?

Does this mean the gear can't amplify "force"but they can amplify "torque force"?

 

[rcgldr]

Here is the real question, if i have a input gear with radius r, and output radius of 2r, when i apply force, f on input gear, the output gear can produce torque force of 2rf ?

If you're applying the force on the outside of the first gear, and the second gear is applying a force from it's outside, then the force is not increased. Imagine a chain wrapped particlely around the two gears and that you're pulling on the chain. The chain's speed is the same everywhere. In order to get a leverage like effect where the force is increased, then the "output" speed needs to be slower than the "input" speed. There are various ways to do this.

A gear system is normally used to increase torque and decrease angular velocity. or to decrease torque and increase angular velocity.

 

[PJC01]

The gear system works on the principle of mechanical advantage, which means that it allows us to amplify the force applied to the input gear and transfer it to the output gear. This is achieved through the difference in size or pitch diameter between the two gears.

When a smaller gear is rotated, it transfers its rotational motion to the larger gear with a bigger pitch diameter. This results in the output gear turning at a slower speed compared to the input gear. However, the torque force is amplified in the process. This is because the teeth of the smaller gear exert a force on the teeth of the larger gear, which is distributed over a larger surface area. This results in a greater torque force being applied to the output gear.

In the case of using the output gear to pull something up with a rope, the torque force needs to be converted to a linear force by dividing it by the radius of the output gear. This is because the torque force is a rotational force, and the rope needs to exert a linear force to lift the object.

Overall, the gear system is a crucial mechanism in amplifying force and transferring it to different components in a machine or system. Its ability to increase torque force allows us to achieve more significant and more challenging tasks with less effort.