converting meter per second to radian per second?

Question

if you have 10.8 meters per second, how do you convert that to radians per second?

i know that it is 2.7 rad/s but i cant figure out how it was done

Answer 1

First you must assume the 10.8 mps is a tangential velocity v. This means v = Rw; where v = 10.8 mps, R is the radius of turn in meters, and w is the angular velocity in rad/sec.

Thus w = v/R will give you radians per second if you have the radius of turn R. You didn't give this; so I can't show you. But if w = 2.7 rad/sec, you can back engineer to find R = v/w = 10.8/2.7 = ? You can do the math.

The physics is that tangential velocity is just the angular velocity times the radius of turn/the curvature of the turn.

Answer 2

Meters To Radians

Answer 3

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RE:
converting meter per second to radian per second?
if you have 10.8 meters per second, how do you convert that to radians per second?

i know that it is 2.7 rad/s but i cant figure out how it was done

Answer 4

converting meter radian

Answer 5

v = ωr = 4.73x3.11 = 14.7m/s ________________________ The formula v = ωr is very useful an is worth remembering. It is easy to derive. During a full rotation (taking time T), the angle covered is 2π radians Angular velocity is the angle covered divided by the time so ω = 2π/T T = 2π/ω The distance covered = the circumference = 2πr Speed, v = distance/time v = (2πr)/T = (2πr)/(2π/ω) = ωr

Answer 6

You don't. Meters are a measure of length, and radians are a function of angle. They do not convert into one another. Perhaps you need a physical relationship that relates the length of the circumference of a certain circle to the angle in that circle.