Calculation of Amplitude of Velocity and Acceleration in case of Simple harmonic motion.

Keyword

Frequency,Displacement,Velocity,Acceleration,Amplitude,Uniform circular motion,Simple harmonic motion,angular velocity.

Reference

・『建築設備の防振設計技術』(麦倉喬次)

Remarks

・x=X*sin(ω*t), v=ω*X*cos(ω*t)=ω*X*sin(ω*t+π/2), a=-1*ω^2*X*sin(ω*t)=ω^2*X*sin(ω*t+π), ω=f*2π
・Velocity Amplitude=Displacement Amplitude*ω, Acceleration Amplitude=Displacement Amplitude*ω^2.

History

・2014/08/18:layout change.
・2009/03/29:Moved from www.am-consulting.co.jp to here.