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Worm Gear Efficiency

09/14/2012 4:39 AM

Dear friends-Again I need your help.

I have a worm gear reducer, 1;30 that is mounted on the what should be my

1 hp gas engine powered bicycle.

Somewhere is lot of power loss, that the bike isn't able to to climb a short mild slope even at the slowest bicycle's gear -The centrifugal clutch is disconnecting..

Engineers do not think that it can be related to the worm gear, that is driving through chain and 2 sprockets the bottom bracket , but this is what the mechanist claims.

The input is 1800 rpm.

May it be that if the input would be about the half, the power losses would be diminished to an acceptable level?

I googled for relevant data, but what I found didn't relate to the reductions rate., again 1:30!

Please can you provide me some sufficient information?

Thank you in advance

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#1

Re: worm gear efficiency

09/14/2012 5:22 AM

What is the speed of the bike on plain road, at the same gear setting that you use for climbing the inclined terrain?

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#2
In reply to #1

Re: worm gear efficiency

09/14/2012 7:12 AM

about 7km/h

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#4
In reply to #2

Re: worm gear efficiency

09/14/2012 7:35 AM

It appears that there are lots of transmission loss in your gear drive. The ratio of the gear drive may not be optimum/right. I am sure our automotive experts will have right solution to the problem at hand.

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#3

Re: worm gear efficiency

09/14/2012 7:16 AM

So, one might desduce that the worm drive is rather less efficient than the chain drive. Why is the worm gear present in the first place?

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#5
In reply to #3

Re: worm gear efficiency

09/14/2012 9:16 AM

The engine's rpm is 7000, on the drive shaft's edge is a 9 tooth sprocket, that drives by chain a 32 tooth sprocket, and this is the input to the worm gear.

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#7
In reply to #5

Re: worm gear efficiency

09/14/2012 12:38 PM

7000 * 9 / 32 = 1968.75 /30 = 65.625 (Revolution Per Minute) RPM

The final RPM of the cycle wheel = 65.625

What is the circumference of the cycle wheel? (3.141 * Diameter of the wheel) = Distance travelled in a minute by your bike.

Bike speed works out to 7.296 Km PH (That is close to your 7 Km PH)

I know nothing about bikes. I hope, somebody soon will join us.

My hunch is that RPM is not right. Cross your fingers & wait...

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#9
In reply to #7

Re: worm gear efficiency

09/14/2012 8:26 PM

The final RPM of the cycle wheel = 65.625

The bike would certainly have to have several speeds (step up) between the bottom bracket (pedal shaft) (for which 65 rpm would be a reasonable pedaling cadence) and the rear wheel. A bike with a top speed of 7 km/h would be almost unrideable. I'm a pretty old and feeble, but can pedal at 30 km/h on the level, using about 1/6 hp.

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#6

Re: Worm Gear Efficiency

09/14/2012 11:37 AM

The efficiency in a well-designed (bronze on steel) properly-functioning and lubricated worm gearbox should be high enough that you could not measure the effect by simple road tests -- over 90% typically, but often over 95%.

However, a cheap, damaged, etc. worm gearbox can have high friction, and gear tooth friction is a more dramatic effect in a worm gearbox. (BTW, at 30:1 I'd guess that the gearbox is self-locking when back driven, which could be a safety issue if your rear hub does not ratchet.) An overloaded gearbox can have the gear contact areas near the seizure point.

Each chain/sprocket reduction (or step up) will be 95% efficient if a little old, and poorly-lubricated. It sounds like you have one going into the gearbox and two after the gearbox. So let's say the overall efficiency is .95 x .90 x .95 x .95 = 69%. That represents a lot of losses (partly because you are stepping speed down then back up) but not so high that you should not be able to go up a hill that you can pedal up. If the effective hp is .69*, that is still about twice what a very good rider can produce.

However, this assumes that the engine is close to its hp peak speed (apparently 7000 rpm). This means you would have to come at the hill at full speed in the lowest gear. Starting in the middle of the hill should be almost impossible, depending upon clutch engagement rpm. If the clutch is set to 2000 rpm, then the engine torque is probably 1/5 of its torque at full hp rpm (even less if the engine is a two stroke**).

If you need help calculating tractive force, (so you can know how steep a hill the bike can climb at a given engine rpm and power output) let us know.

May it be that if the input would be about the half, the power losses would be diminished to an acceptable level?

Input speed or input torque? If the speed and torque are well within the gearbox rating, then the efficiency should not change dramatically. If you are exceeding the gearbox's torque rating, then you may be experiencing very high friction losses from lubricant breakthrough.

The centrifugal clutch is disconnecting.

If, by this, you mean that the clutch is slipping and the engine is screaming along at near 7000 rpm, the fault is in the clutch (and the clutch will only tolerate a short time of this). If you mean that the engine is lugging along at the clutch engagement speed, and unable to accelerate to full hp speed, then the engine is not producing enough torque to go up the hill (which could be normal if the clutch engagement speed is low, where the engine produces negligible torque) or there are many losses, such as in a gearbox that is inadequate to the task.

* (If all the speed changes are optimized, then the calculation is more like 98% ^4 = 92%. )

** You can see this effect in a chain saw. Dig the teeth into the bark of a tree before applying throttle. Then apply throttle, and the engine cannot get beyond the clutch engagement speed.

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#11
In reply to #6

Re: Worm Gear Efficiency

09/15/2012 12:51 AM

I suggested to reduce the input speed to about the half.

The bike is a new one, so all the sprockets and cogwheels are new .

The clutch is designed to disengage at 4000 rpm- This might be aproblem for itself!

I'm not talking about climbing a hill, just begining a short slope of few meters.

I think that I'll try to test the set, by using temporarily an e-motor with less power and slower-about 1000 rpm.

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#8

Re: Worm Gear Efficiency

09/14/2012 6:42 PM

If you are loosing most of 1 hp in the gearbox it should get noticeably warm rather fast.

How heavy is the bike and how heavy is the rider and how steep is the hill?

If your engine puts out 1 HP at 7000 RPM the odds are it probably doesn't put out much over 1/4 or less at 1800 - 2000 RPM.

So who are the engineers you are talking to? They don't sound like they are all that knowledgeable?

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#10

Re: Worm Gear Efficiency

09/14/2012 9:37 PM

a worm gear is ineffient. use sprockets or belts if possible.

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#12

Re: Worm Gear Efficiency

09/17/2012 11:00 AM

I would have to ask what is the torque rating of the engine. In my experience a small 1hp engine is not capable of much more than pushing a bicycle along on level ground ONCE it is moving.

I've seen some incredibly small engines and motors that can claim 1 hp but couldn't move a fart under load conditions.

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#13
In reply to #12

Re: Worm Gear Efficiency

09/17/2012 11:06 AM

Don't you think that not only power output [hp or kw] is relevant, the speed which come thourh gear is not less crucial!

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#14
In reply to #13

Re: Worm Gear Efficiency

09/17/2012 3:19 PM

LOL its Monday and I try not to think.

In my overly simple world torque is what gets you going.

You can tell the muscle car. He squeels his tires without revving the engine up first. Pure raw torque overcomes the friction holding the wheel still and sqeeeelllllll

The rice grinder revs up to 11,000 and dumps the clutch to get the same effect.

The Tesla....... Ok I won't go there its electric.

Or in an old shop trick. Chuck the engine in a vice. Break off a broom handle. Bolt a pully onto the output shaft of the engine. Start engine and bring up to your desired running speed. Wedge broom handle under work bench and press against the rotating pully. if you can press hard enough to stall the engine then you probably don't have enough engine for the job.

Before I worry about the drive train I want to be sure I have the power.

I hope this helps!

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#15
In reply to #12

Re: Worm Gear Efficiency

09/17/2012 3:40 PM

I would have to ask what is the torque rating of the engine.


Or better yet, look at a torque curve. The little Honda GX25 is probably fairly similar, and has a fairly flat torque curve from 4000 - 8000 rpm with max power at 7000 rpm. Probably, if speed dropped to 3000, torque would drop by half, and at 2000, it might be 1/4. For moving something as large as a person, the engine should be kept running between 4000 and 8000 rpm.


With a 200 lb rider/bike total, a 15% grade would require 30 lb tractive force. Assuming a 1' radius wheel, 30 ft lb torque would be required. The engine produces .75 lb ft, so a total reduction of 40:1 would be required. At 7000 rpm, the wheel would turn at 175 rpm. With a wheel circumference of 6.28 feet, that would be 1099 fpm. This would be .208 mile/min, or 12.4 mph.


The bike would clearly need multiple gear ratios, because 15% is not the steepest grade likely to be encountered. Three speeds would work ok: the 12.4 speed gear would be the mid range. A lower range to allow for steeper grades (say up to 30%) would permit a speed of 6.2 mph, which would be fast enough for fairly easy balancing. A higher range would allow for a 25 mph top speed, and the ability to climb a 5% grade with a little left over to overcoming rolling resistance and a little air resistance.

The ratio (of ratios) from lowest to highest would be 4. This is a little more than a cheap CVT can supply, but a cheap CVT combines (and automates) the clutching and gear change functions, making for very simple riding and easy parts sourcing.


These CVTs operate at about 2.8:1 down to 1:1. So a compromise secondary ratio of 20:1 would permit grade climbing of about 20% and a top speed (on the level) of about 25 mph.

Many years ago used to have a moped that would do 30 on 1.3 hp (I weighed about 110 lb at the time) with two speeds. On very steep hills you helped it along by pedaling.

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#16
In reply to #15

Re: Worm Gear Efficiency

09/17/2012 4:05 PM

Yes your calculations are really profound, but the fact is that the bike didn't climb this short slope even with the lowest of 21 gear!

So I think that all your calculation were irelevant.

If I'll not be able to solve this problem through a mechanical device, I'll return to my original plan, to drive an alternator with the gas engine, and the alternator will supply electricity to a 500w e-motor.[which is baned in Israel!]

But curiousity is not only on march- it lies in me, and I'm eager to understand why the honda gx25 engine isn't sufficient with 70 rpm of the bottom crank with the lowest of 21 gear to drive the bicycle up a mild slope?!

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#17
In reply to #16

Re: Worm Gear Efficiency

09/18/2012 2:35 PM

So I think that all your calculation were irelevant.

The calculations have always worked in the past. There is no magic involved here, is there?


But curiousity is not only on march- it lies in me, and I'm eager to understand why the honda gx25 engine isn't sufficient with 70 rpm of the bottom crank with the lowest of 21 gear to drive the bicycle up a mild slope?!


The GX25 has been used on bicycles many times. So you'll have to do some testing.
At this scale things are easy to measure. You can measure actual HP of the engine with a simple dyno to see that the engine is working right. You can measure the efficiency of the worm gearbox (which appears to be the likely culprit) by measuring its operating output torque given the verified input torque produced by the engine.
You need to know what is the actual measured grade of the hill is? What is your weight? What is the weight of the entire contraption? What is the actual torque and rpm output of your engine? What are the losses through the worm gearbox -- you have to measure this because they can range from 2% to 50%, depending upon design and condition.


With a disc brake or permanent magnet motor (or hydraulic motor) as a load and a beam style torque wrench (or spring scale, etc) it is easy to set up a dyno to measure where the losses are.

The engine > generator > controller > motor > gear reductions path provides even more opportunities for losses.

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#18
In reply to #17

Re: Worm Gear Efficiency

09/19/2012 2:10 PM

Dear friend- I really appreciate your profound answer,

and I came by my self to the idea to test the bike's components, but my bike has a tweak brake, can I use it to measure the losses?

My weight is 87 kg, the bike with all the engine and gears is about 23 kg.

The slope is about 8%, but only few meters long.

The worm gear is NMRV30, do you know this gear?

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