Five Steps to Calculate the Gear Drive Ratio of a Cyclo.​

In the steps below, we walk through how to find the gear ratio of a Cyclo 6000 gearmotor. Here are the basics, the gear ratio is a direct measure of the ratio of the rotational speeds of two or more gears. Since our Cyclo gearmotor is non-interlock, calculating the gear ratio will be a bit different.

To Find Your Cyclo Gear Drive Ratio You'll Need...

MotorRPM
OutputRPM
RoughRatio

Step 1: Find the Motor RPM

First, you need the motor RPM. To calculate this gear ration, let's use a Cyclo 6000 that has 1800 RPM at the VFD.

 

Step 2: Find the Final Output RPM

The next most important piece of information is the final output RPM of the industrial gearbox, as measured at the Output Shaft. This date can be a bit tricky when trying to calculate your gear ratio. Without a tachometer or strobe device, you must calculate this manually. You can do this one of two ways:

  1. Determine how many rotations per minute, which gives you your rotations per minute or RPM
  2. Calculate how long it takes for the shaft to make one revolution.

If you take the latter approach while calculating your gear ratio, there is some additional math that is needed. If you timed it right, you would have calculated about 36 seconds for every 1 rotation of the shaft. Knowing this 36/1 relationship, and knowing there are 60 seconds in 1 minute, we can answer our RPM question with the equation 36/1=60/X. By solving for X we get a figure of 1.667, meaning 1.667 revolutions of the shaft per minute.

 

Step 3: Calculate a Rough Ratio

Now, with this information, you can easily calculate a rough ratio by taking the input speed divided by the output speed, or 1800 divided by 1.667, which gives you an approximate number of 1080. 

To accurately calculate this ration, you need to know the gearbox or need to open a catalog. Here's why:

  • If you look at the catalog or know the product, you'll know that 1080 is not a standard double reduction ratio. It's not even a possible combination. Remember, the ratio for a double reduction is the multiplication of ratios from the first and second stages. When looking at the standard double reductions offered by the Cyclo, you see 1003 and 1247, so both of these can be ruled out. But Sumitomo gearboxes can sometimes have some unique ratios, and you may think 1080 could be the answer. 
  • To check this, you'd have to go through a series of guesses and checks, by either multiplying our single reduction ratios until you get 1080 or dividing our single reduction ratios into 1080 until you get a whole number. If that whole number equals a single reduction ratio we offer, then you have your answer. But, you will not get a whole number, and there is a better way.
Now Playing

What is Cyclo?

cycloidal drive or cycloidal speed reducer is a mechanism for reducing the speed of an input shaft by a certain ratio. Cycloidal speed reducers are capable of relatively high ratios in compact sizes with very low backlash.

Step 4: Check Cyclo Disc for Ratio Stamp

Again, if you know our Sumitomo gearboxes, you know that we stamp our ratios on the Cyclo Disc. Let's say the gearbox we've been working on has a disc stamped with a "25". This number means the second stage has a ratio of 25:1. With this, you can now figure out what is the actual ratio.

 

Step 5: Multiply Primary and Secondary Stage Ratios

Knowing the second stage ratio is 25, and the assumption that the final ratio is 1080, some quick division of 1080/25 will return a 43.2 figure, which you could assume is the first stage. Except this is not a whole number. 

Checking the catalog will tell you that we do offer a 43:1, which is close to 43.2. So, given the second stage is a known ratio of 25:1, and a newly assumed ratio of 43:1 for the primary stage, we multiply these numbers to get our final ratio. 25 x 43 = 1075. 

A quick output RPM check dividing 1800/1075, gives us a 1.674 number, which again is pretty dang close to the original 1.667 number we calculated earlier.

That's it!

As you can see, you can find your gear ratio with only a stopwatch and calculator. Unless it's critical to the application, getting close will work in most situations. To calculate a correct gear ratio, you will need a little knowledge of the product, and you might even need to refer to the catalog.