I have an open gear box with 4 different gears. How can I calculate the ratio, and its output torque?

Question

There is 5 gears, and I need to find the ratio and its output torque. How can I go about this? I am a little flimsy when it comes to gearology.

Answer 1

Let the gears be d1, d2, d3, d4 and d5. The initial geras rpm, diameters d of the gears and no. of teeth of the gears will be required to calculate rotation of the final gear and calculating the torgue. Let me say teeth of gears are d1:20, d2:40, d3:60, d4:30 d5:15 and rpm of d1: 1000. Therefore rpm of d5 will be 1000 x 20/40 x 40/60 x 60/30 x 30/15 =
(1000 x20)/15 =1333.3 rpm. For output torque the diameters of the gear d5 will be required: let it be 0.3 metres. Torque is to be found out from T =radius x force at the tip of the gear and from the rpm.

VR

Answer 2

the gear ratio is easy to figure if you can count the gear teeth

the gear ration is just the teeth-number ration

clearly, if the drive gear has half as many teeth, the driven gear will have half the rpm of the drive motor

the output torque is a function of both the gear ratio and the input torque

if the driven gear is slower than the drive gear, the output will have more torque