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#1




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




Re: Convert meters per second to radians per second
Quote:
5.277 m/s x 2*pi radians/3.2 m = 10.36 radians/s 
#3




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




Re: Convert meters per second to radians per second
That is correct

#5




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




Re: Convert meters per second to radians per second
Quote:

#7




Re: Convert meters per second to radians per second
Ok, thanks a lot !

#8




Re: Convert meters per second to radians per second
easy formula
V=rj v=velocity r=radius j=angular velocity 
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