Calculating Gear Ratios - Need Assistance?

In summary, the conversation was about calculating gear ratios for a final gear drive. The person had calculated it to be 94.97:1 and wanted to know if it was correct. They were asked for more information such as diameters, radii, and number of teeth, and it was clarified that the numbers given were the number of teeth. They were then guided through the process of calculating the gear ratios and given a final ratio of 94.62:1. It was also mentioned that it was a motor being discussed.
  • #1
willib
227
0
Hi , is anyone studying gear ratios??
i need some help with calculating the final gear drive..
i've calculated it at 94.97:1
is this correct??
 

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  • #2
What are these numbers, diameters, radius, number of teeth?
 
  • #3
they are number of teeth.
 
  • #4
Do you want to know what's the end torque? Because without radii, I can't tell you.
 
  • #5
Follow the train through logically. Starting at the motor:
Gear 1 to 2: The speed will step down by a factor of 6/43.

Gear 2 to 3: The speed should stay the same since they are on the same shaft, so it's ratio could be 1/1

Gear 3 to 4: The speed is reduced again by a factor of 12/40.

Gear 4 to 5: Again, they are on the same shaft so the ratio should be 1/1.

Gear 5 to 6: There is another reduction in speed by a factor of 12/39.

Gear 6 to 7: Same shaft, no change, 1/1.

Gear 7 to 8: A final reduction in speed of 12/39.

So where does that leave you?
 
  • #6
94.62 : 1 thanks fred ..
how did you know it was a motor :wink: :smile:
 

1. What is a gear ratio and why is it important?

A gear ratio is the relationship between the number of teeth on two gears that are meshed together. It determines how much torque and speed is transferred from one gear to the other. Gear ratios are important because they allow us to control the speed and power of a machine.

2. How do I calculate gear ratios?

To calculate the gear ratio, divide the number of teeth on the driven gear (the gear that receives power) by the number of teeth on the driver gear (the gear that provides power). This will give you the gear ratio in the form of a fraction or decimal. For example, if the driven gear has 20 teeth and the driver gear has 10 teeth, the gear ratio would be 20/10 or 2:1.

3. Can gear ratios be changed?

Yes, gear ratios can be changed by using different sized gears or by using a gear train, which is a series of gears that work together to change the overall gear ratio. Gear ratios can also be changed by using a variable speed transmission.

4. How do gear ratios affect performance?

Gear ratios directly affect the performance of a machine. A lower gear ratio will provide more torque and less speed, making it better for tasks that require more power. A higher gear ratio will provide more speed and less torque, making it better for tasks that require faster movement. The gear ratio also affects the efficiency of the machine, as a higher gear ratio will result in more energy loss due to friction.

5. Are there any limitations to calculating gear ratios?

There are a few limitations to calculating gear ratios. One limitation is that the gears must be perfectly meshed and in good condition for accurate calculations. Another limitation is that gear ratios do not take into account other factors that may affect performance, such as friction and power loss. Additionally, gear ratios are based on ideal conditions and may vary in real-world situations.

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