Friday, March 20, 2020

Physics


Linear Circular
Time \(t\ \left({s}\right)\) Time \(t\ \left({s}\right)\)
Mass \(m\ \left({kg}\right)\) Moment of inertia \(I=\sum{m_i·r_i}\ \left({kg·m^2}\right)\)
Distance \(s\ \left({m}\right)\) Angle \(\overrightarrow{φ}\ \left({rad=1}\right)\)
Velocity \(v\ \left({\frac ms}\right)\) Angular velocity \(\overrightarrow{ω}=\frac{∂φ}{∂t}=\frac vR\ \left({\frac {rad}s=\frac1s}\right)\)
Acceleration \(a\ \left({\frac m{s^2}}\right)\) Angular_acceleration \(\overrightarrow{ɛ}=\frac{∂ω}{∂t}=\frac{a_{\tau}}R\ \left({\frac{rad}{s^2}=\frac1{s^2}}\right)\)
Impulse \(p=m·v=F·dt\ \left({N·s}\right)\) Angular momentum \(N=I·\overrightarrow{ω}=\overrightarrow{R}×\overrightarrow{p}\ \left({\frac{kg·m^2}s}\right)\)
Force \(F=\frac{∂p}{∂t}=m·a\ \left({N}\right)\) Torque \(M=I·\overrightarrow{ɛ}=\overrightarrow{R}×\overrightarrow{F}\ \left({N·m}\right)\)
Energy \(E=\frac{m·v^2}2=m·a·s\ \left({J}\right)\) Energy \(W=\frac{I·ω^2}2=I·ɛ·φ\ \left({J}\right)\)
Work \(A=F·∂s·Cos\ φ\ \left({J}\right)\) Work \(A=M·∂φ\ \left({J}\right)\)
Power \(P=\frac{∂A}{∂t}\ \left({W}\right)\) Power \(P=\frac{∂W}{∂t}\ \left({W}\right)\)
\(d\left({m·\overrightarrow{v}}\right)=\overrightarrow{F}·dt\) \(d\left({I·\overrightarrow{ω}}\right)=\overrightarrow{M}·dt\)

No comments: