Since the length of a circle is 2 π r, and the radius of the circle is r - the radians in a complete circle can be calculated to
θ = 2 π r / r
= 2 π
One radian can be expressed in degrees as
1 rad = 360o / (2 π) = ~ 57.29578o (2a)
One radian can be expressed in revolutions as
1 rev = 1 / (2 π) = ~ 0.16 (2a)
One degree can be expressed in radians as
1o = 2 π / 360o = ~ 0.01745 radian (2c)
Note! - radians are used by default in angular expressions in most computer languages.
The radian is defined as the angle subtended at the center of a circle by an arc of circumference equal in length to the radius of the circle.
Converting angular velocity (ω) to other units
Download and print Angular Velocity chart
An angular velocity of 100 rad/s can as indicated in the chart above be estimated to aprox. 950 rpm and 5700 deg/s.
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