What is the relationship between the speed ratio of the reduction mechanism and the lever ratio? What is the relationship between the force of the first gear and the last gear?

一沙一世

What is the relationship between the speed ratio of the reduction mechanism and the lever ratio? What is the relationship between the force of the first gear and the last gear? [Copy link]

 

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What is the relationship between the speed ratio of the reduction mechanism and the lever ratio? What is the relationship between the force of the first gear and the last gear?

For example, in the figure below, the speed ratio is 1000:1

maychang

"What is the relationship between the speed ratio of the reduction mechanism and the lever ratio?"

I have never heard of the “lever ratio”. In junior high school physics, I only learned about the “power arm” and “resistance arm”.

maychang

"For example, in the figure below, the speed ratio is 1000:1"

If you count the number of teeth on each gear and then multiply the ratio of the numbers of teeth together, you can get a result of 1000:1.

maychang

"What does it have to do with the magnitude of the force of the first gear and the last gear?"

The speed ratio of your reducer is 1000:1. Ignoring friction, the ratio of the torque of the first gear to the last gear (note that it is torque , not force ) is 1:1000.

maychang

Considering friction, of course the torque magnification is not as much as 1000 times. As we don't know the friction torque, we can't calculate it, so we can only estimate it and give a discount.

一沙一世

maychang posted on 2022-9-11 09:58 "What is the relationship with the force of the first gear and the last gear?" Your reducer speed ratio is 1000:1, ignoring friction, then the first gear...

Thank you. I don't know if my view is correct, but I feel intuitively that what you said is inaccurate.

The torque must be balanced, otherwise it will keep accelerating. For example, in a common example, the torque generated by the weighing object end and the torque of the weight end must be equal to weigh the object. There is no such relationship that the torque of the two is 1:1000.

maychang

Yishayishi published on 2022-9-11 10:17 Thank you. I don't know if my opinion is right, but I feel intuitively that what you said is inaccurate. The torque must be balanced, otherwise it will keep doing...

"Torque must be balanced"

Please read carefully the words I typed on the 4th floor first.

What I said on the 4th floor was "the ratio of the torque (note that it is torque , not force ) of the first gear and the last gear is 1:1000". It refers to the ratio of the torque of the two gears, not the same gear.

maychang

Yishayishi published on 2022-9-11 10:17 Thank you. I don't know if my opinion is right, but I feel intuitively that what you said is inaccurate. The torque must be balanced, otherwise it will keep doing...

You can't even understand a sentence of only a few words on the 4th floor. It seems that you need to take some lessons in junior high school physics, especially junior high school Chinese .

maychang

Yishayishi published on 2022-9-11 10:17 Thank you. I don't know if my opinion is right, but I feel intuitively that what you said is inaccurate. The torque must be balanced, otherwise it will keep doing...

"The torque must be balanced, otherwise it will keep accelerating."

This is totally wrong. The torque acting on the gear rotating on the fixed axis is not zero. The gear is not doing accelerated motion, but angular accelerated motion. Accelerated motion and angular accelerated motion are two different things.

However, since you have not yet distinguished between force and torque , it is inevitable that you cannot distinguish between accelerated motion and angular accelerated motion.

lugl4313820

Theoretically it is 1:1000, but it is affected by other factors such as gear technology and lubrication, which affects the energy efficiency ratio.

maychang

Yishayishi published on 2022-9-11 10:17 Thank you. I don't know if my opinion is right, but I feel intuitively that what you said is inaccurate. The torque must be balanced, otherwise it will keep doing...

"But I have a feeling that what you said is not correct."

People's "intuition" is often very unreliable, especially for beginners (in physics, mathematics, etc.).

jimtien

一沙一世

maychang posted on 2022-9-11 10:39 Yishayishi posted on 2022-9-11 10:17 Thank you. I don't know if my opinion is right, but I feel intuitively that what you said is inaccurate, ...

Thank you. After reading other people's replies, I found that my understanding was wrong. The two gears are not on the same gear. The tooth action between them is a direct force and has nothing to do with torque. Thank you.

tianmeimei

The braking force of the reducer The larger the lever ratio of the reducer , the greater the braking ability of the reducer under the condition that the height of the reducer

一沙一世

tianmeimei posted on 2022-9-12 17:57 The braking force of the reducer is proportional to the lever ratio. The greater the lever ratio of the reducer, the greater the braking ability of the reducer on the vehicle. But in the reducer brake pad...

Thank you very much. But this is not a reducer for cars, this is a reducer for water meters,

As shown in the picture, what is the relationship between the leverage ratio you mentioned and the first gear and the last gear?

一沙一世

tianmeimei posted on 2022-9-12 17:57 The braking force of the reducer is proportional to the lever ratio. The greater the lever ratio of the reducer, the greater the braking ability of the reducer on the vehicle. But in the reducer brake pad...

If the gear ratio is 1000:1, that is, the first gear rotates 1000 times and the last gear rotates 1 time, is the lever ratio of the first gear to the last gear 1:000? If a force of 1N is applied to the first gear, will the force generated on the last gear be 1000N, assuming there is no energy loss in between?

maychang

Yishayishi published on 2022-9-13 15:54 If the speed ratio is 1000:1, that is, the first gear rotates 1000 times and the last gear rotates 1 time, what is the difference between the first gear and the last gear?

"If a force of 1N is applied to the first gear, will the force generated on the last gear be 1000N?"

I said on the 8th floor, "It seems that you need to take some junior high school physics lessons, especially junior high school Chinese." I guess you didn't read the physics textbooks or the Chinese textbooks. Two days have passed, and I said it in vain.

maychang

Yishayishi published on 2022-9-13 15:54 If the speed ratio is 1000:1, that is, the first gear rotates 1000 times and the last gear rotates 1 time, what is the difference between the first gear and the last gear?

"If a force of 1N is applied to the first gear, will the force generated on the last gear be 1000N?"

Gears rotate on a fixed axis, and it is the torque rather than the force that determines how the gears move .

If your 1N force passes through the rotating shaft, then the torque acting on the gear is zero, and it cannot change the motion state of the gear, nor can it be transmitted to the next gear.

maychang

Yishayishi published on 2022-9-13 15:54 If the speed ratio is 1000:1, that is, the first gear rotates 1000 times and the last gear rotates 1 time, what is the difference between the first gear and the last gear?

"If a force of 1N is applied to the first gear, will the force generated on the last gear be 1000N?"

Until now, you have not figured out the difference between force and torque. Go back and look up the physics book to find out what torque is.

maychang

Yishayishi published on 2022-9-13 15:54. The speed ratio is 1000:1, that is, the first gear rotates 1000 times and the last gear rotates 1 time. What is the difference between the first gear and the last gear?

jimtien on the 12th floor posted the pictures of the two gears and listed the formulas. Didn’t you read jimtiem’s reply on the 12th floor?