As an example, consider a servo gearbox person riding a bicycle, with the individual acting like the motor. If that person tries to trip that bike up a steep hill in a gear that is made for low rpm, he or she will struggle as
they attempt to maintain their stability and achieve an rpm which will permit them to climb the hill. However, if indeed they change the bike’s gears right into a velocity that will create a higher rpm, the rider will have
a much easier time of it. A constant force can be applied with soft rotation being supplied. The same logic applies for industrial applications that require lower speeds while keeping necessary
torque.
• Inertia matching. Today’s servo motors are producing more torque in accordance with frame size. That’s because of dense copper windings, lightweight materials, and high-energy magnets.
This creates greater inertial mismatches between servo motors and the loads they want to move. Using a gearhead to raised match the inertia of the engine to the inertia of the load allows for using a smaller engine and outcomes in a more responsive system that’s easier to tune. Again, that is achieved through the gearhead’s ratio, where in fact the reflected inertia of the strain to the electric motor is decreased by 1/ratio2.
Recall that inertia is the way of measuring an object’s level of resistance to improve in its motion and its function of the object’s mass and form. The greater an object’s inertia, the more torque is required to accelerate or decelerate the thing. This means that when the load inertia is much bigger than the engine inertia, sometimes it can cause excessive overshoot or increase settling times. Both conditions can decrease production line throughput.
On the other hand, when the engine inertia is larger than the load inertia, the engine will require more power than is otherwise necessary for the particular application. This raises costs because it requires paying more for a engine that’s bigger than necessary, and since the increased power consumption requires higher working costs. The solution is by using a gearhead to complement the inertia of the motor to the inertia of 
the load.