Home > Solution Design Support > How > Kinematics



Determine operating mode
Determine relationship between time and speed.


Linear Rotary
Velocity Angular Velocity
Distance Angle
Time Time
Acceleration/Deceleration Acceleration/Deceleration



Linear

Uniform Motion v=st
Constant Acceleration/Deceleration s=v0t1+12vmaxt1 s=v0t1+12vmaxt1 =v0t1+12at12
Positioning vmax=at1 s=vmaxt1+vmaxt2 =at12+vmaxt2



Rotary

Uniform Motion 1 rad=\frac{360°}{2\pi} \omega=\frac{2πn}{60}
Uniform Motion ω=\frac{θ}{t} n=\frac{30}{\pi} \cdot \frac{θ}{t}
Constant Acceleration/Deceleration ω_{max}=ω_0+α \cdot t_1 n_{max}=n_0+\frac{30}{\pi} \cdot α \cdot t_1 θ=ω_0 \cdot t_1+\frac{1}{2} \cdot ω_{max} \cdot t_1 =ω_0 \cdot t_1+\frac{1}{2} \cdot α \cdot t_1 =\frac{30}{\pi} \cdot n_0 \cdot t_1+\frac{1}{2} \cdot α \cdot {t_1}^2
Positioning ω_{max}=α \cdot t_1 n_{max}=\frac{30}{\pi} \cdot α \cdot t_1 θ=ω_{max} \cdot t_1+ω_{max} \cdot t_2 =α \cdot {t_1}^2+ω_{max} \cdot t_2 =α \cdot {t_1}^2+\frac{30}{\pi} \cdot n_{max} \cdot t_2