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#1
02-26-2011, 05:23 PM
 robertin75 Junior Member Join Date: Feb 2011 Posts: 4 Rep Power: 0
Convert meters per second to radians per second

Hello:

As the title says I am trying to convert 5.277 m/s to radians/second for a tire with 3200 millimeters of circumference.

A person sent me what is supposed to be the correct formula and data but I think it's wrong.

Angular Speed rad/s = ((Linear Speed m/s) / (Tire Diameter m x Pi)) x 2Pi x 100

This is what the solution is supposed to be:

w = ((5.277 m/s) / (3.2 meters X Pi)) X 2 Pi X 100 = 329 rad / sec

but according to me the 3.2 meters of the tire diameter should be 1018 millimeters (or 1.018 meters) instead. So:

w = ((5.277 m/s) / (1.018 meters X Pi)) X 2 Pi X 100 = 1036 rad / sec

What do you guys think?

Thanks and help is greatly appreciated.
#2
02-27-2011, 01:37 AM
 JohnS Moderator Join Date: Dec 2007 Location: SE Michigan, USA Posts: 9,551 Rep Power: 19
Re: Convert meters per second to radians per second

Quote:
 Originally Posted by robertin75 Hello: As the title says I am trying to convert 5.277 m/s to radians/second for a tire with 3200 millimeters of circumference. A person sent me what is supposed to be the correct formula and data but I think it's wrong. Angular Speed rad/s = ((Linear Speed m/s) / (Tire Diameter m x Pi)) x 2Pi x 100 This is what the solution is supposed to be: w = ((5.277 m/s) / (3.2 meters X Pi)) X 2 Pi X 100 = 329 rad / sec but according to me the 3.2 meters of the tire diameter should be 1018 millimeters (or 1.018 meters) instead. So: w = ((5.277 m/s) / (1.018 meters X Pi)) X 2 Pi X 100 = 1036 rad / sec What do you guys think? Thanks and help is greatly appreciated.
I think the various "formulas" are resulting in confusion between radius, diameter, and circumference, and I have np idea where the fctor of 100 arose. One complete turn of the tire (ie, the circumference) represents 2*pi radians, so
5.277 m/s x 2*pi radians/3.2 m = 10.36 radians/s
#3
02-27-2011, 08:05 AM
 robertin75 Junior Member Join Date: Feb 2011 Posts: 4 Rep Power: 0
Re: Convert meters per second to radians per second

Thanks a lot for the simplified formula.

So using an equation the formula would be:

w = (v * (2 * Pi) ) / circumference

where w = angular speed
v = linear speed
Pi = 3.1416

w = (5.277 m/s * (2 * 3.1416)) / 3.2 mts

Kindly confirm.

Thanks
#4
02-27-2011, 08:21 AM
 JohnS Moderator Join Date: Dec 2007 Location: SE Michigan, USA Posts: 9,551 Rep Power: 19
Re: Convert meters per second to radians per second

Quote:
 Originally Posted by robertin75 Thanks a lot for the simplified formula. So using an equation the formula would be: w = (v * (2 * Pi) ) / circumference where w = angular speed v = linear speed Pi = 3.1416 w = (5.277 m/s * (2 * 3.1416)) / 3.2 mts Kindly confirm. Thanks
That is correct
#5
02-27-2011, 10:02 AM
 robertin75 Junior Member Join Date: Feb 2011 Posts: 4 Rep Power: 0
Re: Convert meters per second to radians per second

Hello:

Can that formula still be simplified more without involving Pi as follows:

w = (2 * v) / d

where:

w = angular speed
v = linear speed in meters / second
d = diameter in meters

w = (2 * 5.277 m/s) / 1.018 meters

w = 10.36 rad / sec

This way we don't have to deal with floating point values when using this algorithm on an embedded C language program where floating point variables are not allowed.

Thanks
#6
02-27-2011, 11:04 AM
 JohnS Moderator Join Date: Dec 2007 Location: SE Michigan, USA Posts: 9,551 Rep Power: 19
Re: Convert meters per second to radians per second

Quote:
 Originally Posted by robertin75 Hello: Can that formula still be simplified more without involving Pi as follows: w = (2 * v) / d where: w = angular speed v = linear speed in meters / second d = diameter in meters w = (2 * 5.277 m/s) / 1.018 meters w = 10.36 rad / sec This way we don't have to deal with floating point values when using this algorithm on an embedded C language program where floating point variables are not allowed. Thanks
Yes, since the circumference is pi*diameter, it will cancel out
#7
02-27-2011, 11:34 AM
 robertin75 Junior Member Join Date: Feb 2011 Posts: 4 Rep Power: 0
Re: Convert meters per second to radians per second

Ok, thanks a lot !
#8
10-01-2012, 04:50 PM
 Unregistered Guest Posts: n/a
Re: Convert meters per second to radians per second

easy formula

V=rj

v=velocity
j=angular velocity

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