2007-11-13 06:51:44 · 5 answers · asked by Denise 1 in Science & Mathematics ➔ Mathematics
s = rΘ
s is the path of the object on an arc.
r is the radius, generally constant.
Θ is the arc length in radians
so:
s/t = r *Θ/t
s/t or v is the velocity in distance per unit of time, such as m/s
Θ/t or ω is the change in the angle in radians per unit of time.
v = r ω is the relationship between linear velocity of a point on an arc and ω the angular velocity.
v/r = ω
3.5/r = ω is the relationship between radians per min and meters per minute.
2007-11-13 07:05:43 · answer #1 · answered by Peter m 5 · 1⤊ 0⤋
Your question is how to convert meters into radians,the solution lies in the equation s= r x theta where s is distance in meter (3.5m) r is radius(which must and should be given) and theta is the angle turned (which is needed to be found),now the equation becomes theta= s/r,here theta will come out with degrees as unit which when multiplied by Ï/180 will yield the answer in radians.
2014-03-05 13:53:02 · answer #2 · answered by rugal 1 · 1⤊ 0⤋
Depends on the radius of the path.
Is someone jogging around a circular quarter-mile track? ...or are we talking about the number of radians around the center of the earth one covers at that speed?
In general, angular speed (in rad/s) is equal to the linear speed (in m/s) divided by the radius (in m).
2007-11-13 14:56:42 · answer #3 · answered by ryanker1 4 · 0⤊ 0⤋
This depends on the length of your path, determined by the radius of the circle that the path follows...
The calculation would be ((2 Ï r) / speed) * 2 Ï
2007-11-13 15:01:33 · answer #4 · answered by Stefan C 3 · 0⤊ 0⤋
arclength in meters = (radians) (radius in meters)
So
meters/sec =(rad/sec) ( radius in meters)
2007-11-13 14:58:15 · answer #5 · answered by Michael M 7 · 0⤊ 0⤋