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Chainsaw Tooth Velocity #4707793 03/26/18 06:16 PM
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MolaKule Offline OP
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If a chainsaw sprocket of 1.5" Radius is rotating at 4300 rpm, how many feet will any one chain tooth travel in 1 second?

Recall that Tangential velocity Vt = w*R, where omega w is the velocity of the sprocket in radians per second and R is radius of the sprocket.

Of course, we're going to lube the chain with a tacky 30 grade oil called, "Bar and Chain oil." smile








Last edited by MolaKule; 03/26/18 06:22 PM.

Charlie Eppes: "What do you think we should do now?"
Don Eppes: "The same thing when I was in school and I didn't know the answer – fake it." From NUMB3RS
Re: Chainsaw Tooth Velocity [Re: MolaKule] #4707803 03/26/18 06:23 PM
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jhellwig Offline
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35.83repeating?(I forgot the repeating symbol and an to lazy to look it up.)

Edit that would be the linear speed though not the tip speed around the sprocket.

Edit 2 I did it the dumb way not the formula way.

Edit 3 I didn't do it right at all. 3377 ft per second.

Last edited by jhellwig; 03/26/18 06:40 PM.

Sparks fly from my fingers.

1995 Chevy K2500 Suburban lt 5.7
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Re: Chainsaw Tooth Velocity [Re: MolaKule] #4707811 03/26/18 06:28 PM
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Rand Offline
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so 3" is the diameter *pi *4300(rpm) / 12 (inches in feet)

seems way off but 3377ft?


2019 Jeep Cherokee Trailhawk 2.0T
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Re: Chainsaw Tooth Velocity [Re: MolaKule] #4707826 03/26/18 06:44 PM
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To lazy for math, but whatever 50-60mph is in feet per second. Makes you think saw pants are a good idea!


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Re: Chainsaw Tooth Velocity [Re: MolaKule] #4707830 03/26/18 06:49 PM
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~56.3'?

Re: Chainsaw Tooth Velocity [Re: MolaKule] #4707831 03/26/18 06:49 PM
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MolaKule Offline OP
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The velocity of the chain is approximately equal to the tangential velocity of the sprocket.

Hint: First convert RPM to radians/s.

So in one second the tooth will have traveled X feet????


Charlie Eppes: "What do you think we should do now?"
Don Eppes: "The same thing when I was in school and I didn't know the answer – fake it." From NUMB3RS
Re: Chainsaw Tooth Velocity [Re: MolaKule] #4707834 03/26/18 06:51 PM
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A_Harman Offline
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4300 rev/min x 2*pi radians/rev x 1 min/60 sec x 1.5 in x 1 ft/12 in = 56.28 ft/sec, or about 38 mph.


2008 Dodge Ram 3500 diesel/G56
1985 Z51 Corvette track car 355/6-speed
2002 Camaro Z28 LS1/6-speed
2001 Dodge Ram 2500 diesel/NV4500+GV
1972 GMC 1500 shortbed project truck 307/SM465
Re: Chainsaw Tooth Velocity [Re: IndyIan] #4707836 03/26/18 06:53 PM
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MolaKule Offline OP
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Originally Posted By: IndyIan
Makes you think saw pants are a good idea!


Ha ha, for sure. LOL


Charlie Eppes: "What do you think we should do now?"
Don Eppes: "The same thing when I was in school and I didn't know the answer – fake it." From NUMB3RS
Re: Chainsaw Tooth Velocity [Re: MolaKule] #4707839 03/26/18 06:56 PM
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JimPghPA Offline
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4300 RPM/60 seconds per minute = 71.66 revolutions per second.

The circumference of a circle = pi X Diameter or pi X 2 X Radius

Circumference of a 3 inch diameter circle is 3 X 3.14 = 9.42 inches

71.66 revolutions X 9.42 inches circumference = 675.0372 inches per second.

Divide by 12 to get feet per second.

675.0372/12 = 56.2531 feet per second


Boy will I be happy when ALL vehicles on public roads are autonomous.


JimPghPa

Re: Chainsaw Tooth Velocity [Re: cpayne5] #4707842 03/26/18 06:57 PM
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MolaKule Offline OP
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Originally Posted By: cpayne5
~56.3'?


In what units?

Originally Posted By: A_Harmon
4300 rev/min x 2*pi radians/rev x 1 min/60 sec x 1.5 in x 1 ft/12 in = 56.28 ft/sec, or about 38 mph.


So any one tooth will travel how many feet in one second?


Originally Posted By: JiminPA
675.0372/12 = 56.2531 feet per second


So any one tooth will travel how many feet in one second?

Last edited by MolaKule; 03/26/18 06:59 PM.

Charlie Eppes: "What do you think we should do now?"
Don Eppes: "The same thing when I was in school and I didn't know the answer – fake it." From NUMB3RS
Re: Chainsaw Tooth Velocity [Re: MolaKule] #4707848 03/26/18 07:03 PM
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88 feet per second = 60 MPH


(56.2531 / 88) X 60 = 38.35 MPH


Boy will I be happy when ALL vehicles on public roads are autonomous.


JimPghPa

Re: Chainsaw Tooth Velocity [Re: MolaKule] #4707849 03/26/18 07:03 PM
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Originally Posted By: MolaKule
Originally Posted By: cpayne5
~56.3'?


In what units?


Feet, as indicated by the apostrophe (lazy man's prime). smile

Re: Chainsaw Tooth Velocity [Re: MolaKule] #4707851 03/26/18 07:05 PM
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Originally Posted By: MolaKule
Originally Posted By: cpayne5
~56.3'?


In what units?

Originally Posted By: A_Harmon
4300 rev/min x 2*pi radians/rev x 1 min/60 sec x 1.5 in x 1 ft/12 in = 56.28 ft/sec, or about 38 mph.


So any one tooth will travel how many feet in one second?


Originally Posted By: JiminPA
675.0372/12 = 56.2531 feet per second


So any one tooth will travel how many feet in one second?


Answer 56.28 Feet per second


Boy will I be happy when ALL vehicles on public roads are autonomous.


JimPghPa

Re: Chainsaw Tooth Velocity [Re: cpayne5] #4707855 03/26/18 07:08 PM
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MolaKule Offline OP
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Originally Posted By: cpayne5
Originally Posted By: MolaKule
Originally Posted By: cpayne5
~56.3'?


In what units?


Feet, as indicated by the apostrophe (lazy man's prime). smile


Sorry, didn't see the apostrophe, but yes you and Mr. Harmon and Jim were all correct, just trying to get everyone to answer the question of "how many feet of travel in 1 second?"

Any one tooth or chain link will travel 56.25 feet in any 1 second if the chain's linear velocity is 56.25 ft./sec. thumbsup

Last edited by MolaKule; 03/26/18 07:20 PM.

Charlie Eppes: "What do you think we should do now?"
Don Eppes: "The same thing when I was in school and I didn't know the answer – fake it." From NUMB3RS
Re: Chainsaw Tooth Velocity [Re: MolaKule] #4707860 03/26/18 07:11 PM
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What's the trick here? Are you going to nitpick about how tall the teeth are, which would change the tangential velocity.
How long is the bar? What is the radius of the drive sprocket?

Am I biting on your hook?


2008 Dodge Ram 3500 diesel/G56
1985 Z51 Corvette track car 355/6-speed
2002 Camaro Z28 LS1/6-speed
2001 Dodge Ram 2500 diesel/NV4500+GV
1972 GMC 1500 shortbed project truck 307/SM465
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