Belt Speed

208.8mms^-1

John,

I got 949 mm/sec, I believe you forgot about the belt pulley diameter of 500 mm

but the OP post was a little unclear on this, so I could be wrong.

The 500mm is the belt width not the pulley diameter.

it was a little confusing...... where belt width does have a play here. So I read it as Belt Drive roller.

Me too. I had to re-read it to make sense out of the question.

36.25 RPM

I know this is the simplistic answer but the OP hasn't given us near enough information to make a calculation!

I think you missed a critical part of the equation.

Belt speed is dependent on how the gearbox is connected: (Reducing or Multiplying)

If the gearbox ratio is 40:1 either the belt speed will be 1/40 of motor speed multiplied by the circumference of the belt pulley or 40 times motor speed multiplied by the circumference of the belt pulley.

I (maybe wrongly) assumed a reduction gearbox; if a multiplier the belt speed would be about 334ms^-1, which sounds a bit swift for such small pulleys.

This would help what I meant- to see the actual. I mean driver and driven.

But, if you mean driver & driven at the same shaft, then its different thing.

I thought that the belt was between the motor and the gear box. This would make the gear ratio extraneous information. Then there is always the uncertainty of belt slippage. A V-belt adds the uncertainty of where the pulley diameter is measured. I'm mildly surprised that nobody used the constant Pi in their answer.

This sounds a little like homework to me, since a real world application the desired belt speed would be an input into sizing the gearbox and motor rpm. Mind you, I could be wrong.

41.1 fpm or 12.53 meters/minute:

1450/40 =36.25 rpm

((110/25.4)/12)(PI)=1.13378 feet/rev

(1.13378)(36.25)=41.099 fpm

Given the information supplied... The only possible "belt" speed that is discernable is the input to the gear box. As such the info on the gear box is a red herring. As critical thinking is required... this is clearly homework. OP... what is your answer?

Π x 110mm x 1450rev/min x 1min/60 sec = 8351.4 mm/sec = 8.3514 m/sec

Gearbox ratio is irrelevant.

That's the answer I calculated as well. Now, the width of the drive belt is 500 mm. That sounds more like a conveyor belt.

How can you say that the gearbox ratio is irrelevant? You do realize 110mm pulley or sheave is mounted on the gearbox output shaft which is rotating at 36.25 rpm??

It doesn't say that. Here's how it reads, "Pulley diameter of 110 mm for both motor and gear box"

I see a motor with a 110 mm diameter pulley, with a belt width width of 500 mm driving a 110 mm pulley mounted on the input shaft of the gear box.

Of course a 500 mm wide belt on a 110 mm diameter pulley seems rather absurd except in the case of a supermarket check out line. At 8.3 meters per second, the check out person had better be fast.

Well, I see your point. But that would be goofy. Why not put a c-face adapter on the motor and mount the motor directly to the gearbox?

I still think it is final belt speed out of the reducer the OP is looking for but he does not say for sure.

I guess we need more input from the OP.

Hey, it's likely a homework problem with some extra numbers thrown in there to foil the student who doesn't have a clue and just adds, subtracts, multiplies, or divides numbers at random hoping to luck into the correct answer.

Agreed...

You're probably right because who would include a belt width measurement when it is a completely unnecessary number. :-)

Dear Mr. lesley Marange,

It is very simple.

Gear Box output Speed = Motor Speed/ Gear Box Ratio i.e., 1450/40 = 40.277 rpm.

Linear Speed (of Belt) = Gear Box Speed x Perimetre of the Pulley ( 3.14 x 0.110) i.e.,

= 40.27 x 3.14 x 0.110 = 13.9119 Metres/Sec.

The Belt width has nothing to do with the Belt Speed. Belt Speed depends upon the gear box ratio and pulley ratio. In your case, both pulleys are same ratio, as stated by you.

DHAYANANDHAN.S

Gear Box output Speed = Motor Speed/ Gear Box Ratio i.e., 1450/40 = 40.277 rpm.

How do you get 1450/40 = 40.277 rpm.

My calculator renders 36.25 rpm and that is with low batteries.

Dear Mr. Massey,

You ARE ABSOLUTELY RIGHT.

Gear Box Output Speed is 36.25 as you have indicated. My typing as 40.27 is Totally Wrong.

I deeply regret for the error and I thank you for indicating this mistake, and will make me to be careful in typing.

Once again Thank you. VERY MUCH

DHAYANANDHAN.S

When will you ever learn to quit abusing the all-caps feature? Your excessive humility over some trivial arithmetic mistake does not compensate, although one might want to know just where the arithmetic mistake came from, in order not to repeat it in future.

Is anyone taking into account that the diameter of the drive roll may be a different size than the pulley so every calculation is incorrect unless the OP gives us all of the pertinent dimensions.

We're just flapping in the wind!

Yes, I did, I thought that was the 500 MM dia. but it was the belt width.....

Most of the time, motors are attached to gearboxes via direct drive (rigid flange mount or resilient coupling). Belt drive is possible, though. The OP states 1:1 ratio of belt drive; 40:1 gearbox reduction implies 1450/40 = 36.25 rpm output. If this is a conveyor belt with drive pulley diameter (rather than belt width) of 500mm, then the belt speed would be ~57 meters/minute. That's pretty fast.

I don't claim that this is a correct interpretation; the OP's info is unclear. In any event, the belt width does not matter.

I'm amazed at so many posters taking the trouble to speculate what the OP might have meant, as it's totally unclear, and he hasn't come back to clarify, despite requests.

I'm not with you. What are you saying?

It seems like we play 20 questions with a lot of new posters!

They also don't usually respond to the 20 questions either!

Well, we can see where they modeled that emoticon.

When I stand on the moving tread way at the airport, the belt does not appear to be moving, the people that are not on the belt, but walking alongside it in the same direction as myself are moving slowly. the people that are standing still even faster and the people running the other way, faster stil........_{dam! end of belt}......