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Chainsaw Tooth Velocity #4707793
03/26/18 06:16 PM
03/26/18 06:16 PM
Joined: Jun 2002
Posts: 19,611
Iowegia - USA
MolaKule Offline OP
MolaKule  Offline OP
Joined: Jun 2002
Posts: 19,611
Iowegia - USA
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.

Scars remind us of where we have been, but do not have to dictate where we are going.
Re: Chainsaw Tooth Velocity [Re: MolaKule] #4707803
03/26/18 06:23 PM
03/26/18 06:23 PM
Joined: Jul 2013
Posts: 1,838
Ottumwa, Iowa
jhellwig Offline
jhellwig  Offline
Joined: Jul 2013
Posts: 1,838
Ottumwa, Iowa
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
2014 Toyota Sienna
1983 Chevy K5 350
Re: Chainsaw Tooth Velocity [Re: MolaKule] #4707811
03/26/18 06:28 PM
03/26/18 06:28 PM
Joined: Aug 2003
Posts: 13,217
NE,Ohio
Rand Online content
Rand  Online Content
Joined: Aug 2003
Posts: 13,217
NE,Ohio

so 3" is the diameter *pi *4300(rpm) / 12 (inches in feet)

seems way off but 3377ft?


2019 Jeep Cherokee Trailhawk 2.0T
Re: Chainsaw Tooth Velocity [Re: MolaKule] #4707826
03/26/18 06:44 PM
03/26/18 06:44 PM
Joined: Sep 2008
Posts: 9,236
Ontario, Canada
IndyIan Offline
IndyIan  Offline
Joined: Sep 2008
Posts: 9,236
Ontario, Canada
To lazy for math, but whatever 50-60mph is in feet per second. Makes you think saw pants are a good idea!


07 Focus ZXW, 5spd manual, 218km M1 5W30
18 Outback 2.5 CVT 15km 0W20
Re: Chainsaw Tooth Velocity [Re: MolaKule] #4707830
03/26/18 06:49 PM
03/26/18 06:49 PM
Joined: Dec 2005
Posts: 711
Virginia
cpayne5 Offline
cpayne5  Offline
Joined: Dec 2005
Posts: 711
Virginia
~56.3'?

Re: Chainsaw Tooth Velocity [Re: MolaKule] #4707831
03/26/18 06:49 PM
03/26/18 06:49 PM
Joined: Jun 2002
Posts: 19,611
Iowegia - USA
MolaKule Offline OP
MolaKule  Offline OP
Joined: Jun 2002
Posts: 19,611
Iowegia - USA
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????


Scars remind us of where we have been, but do not have to dictate where we are going.
Re: Chainsaw Tooth Velocity [Re: MolaKule] #4707834
03/26/18 06:51 PM
03/26/18 06:51 PM
Joined: Oct 2010
Posts: 7,137
Michigan
A_Harman Offline
A_Harman  Offline
Joined: Oct 2010
Posts: 7,137
Michigan
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.


1985 Z51 Corvette track car
2002 Camaro Z28 LS1/6-speed
2001 Dodge Ram 2500 diesel
1972 GMC 1500 shortbed project truck
Re: Chainsaw Tooth Velocity [Re: IndyIan] #4707836
03/26/18 06:53 PM
03/26/18 06:53 PM
Joined: Jun 2002
Posts: 19,611
Iowegia - USA
MolaKule Offline OP
MolaKule  Offline OP
Joined: Jun 2002
Posts: 19,611
Iowegia - USA
Originally Posted By: IndyIan
Makes you think saw pants are a good idea!


Ha ha, for sure. LOL


Scars remind us of where we have been, but do not have to dictate where we are going.
Re: Chainsaw Tooth Velocity [Re: MolaKule] #4707839
03/26/18 06:56 PM
03/26/18 06:56 PM
Joined: Aug 2009
Posts: 3,921
Pittsburgh,PA U.S.A.
JimPghPA Offline
JimPghPA  Offline
Joined: Aug 2009
Posts: 3,921
Pittsburgh,PA U.S.A.
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
03/26/18 06:57 PM
Joined: Jun 2002
Posts: 19,611
Iowegia - USA
MolaKule Offline OP
MolaKule  Offline OP
Joined: Jun 2002
Posts: 19,611
Iowegia - USA
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.

Scars remind us of where we have been, but do not have to dictate where we are going.
Re: Chainsaw Tooth Velocity [Re: MolaKule] #4707848
03/26/18 07:03 PM
03/26/18 07:03 PM
Joined: Aug 2009
Posts: 3,921
Pittsburgh,PA U.S.A.
JimPghPA Offline
JimPghPA  Offline
Joined: Aug 2009
Posts: 3,921
Pittsburgh,PA U.S.A.
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
03/26/18 07:03 PM
Joined: Dec 2005
Posts: 711
Virginia
cpayne5 Offline
cpayne5  Offline
Joined: Dec 2005
Posts: 711
Virginia
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
03/26/18 07:05 PM
Joined: Aug 2009
Posts: 3,921
Pittsburgh,PA U.S.A.
JimPghPA Offline
JimPghPA  Offline
Joined: Aug 2009
Posts: 3,921
Pittsburgh,PA U.S.A.
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
03/26/18 07:08 PM
Joined: Jun 2002
Posts: 19,611
Iowegia - USA
MolaKule Offline OP
MolaKule  Offline OP
Joined: Jun 2002
Posts: 19,611
Iowegia - USA
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.

Scars remind us of where we have been, but do not have to dictate where we are going.
Re: Chainsaw Tooth Velocity [Re: MolaKule] #4707860
03/26/18 07:11 PM
03/26/18 07:11 PM
Joined: Oct 2010
Posts: 7,137
Michigan
A_Harman Offline
A_Harman  Offline
Joined: Oct 2010
Posts: 7,137
Michigan
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?


1985 Z51 Corvette track car
2002 Camaro Z28 LS1/6-speed
2001 Dodge Ram 2500 diesel
1972 GMC 1500 shortbed project truck
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