Question

A particle is moving on a circular path of radius 'r' with constant speed 'v'. Find the change in velocity of the particle , when it has angular displacement 'theta' .

Answer 1

Dear Student,


$$\begin{gathered} lettheparticleatxaxisatr,0 \\ afterthetadisplacement \\ r\cos \theta ,r\sin \theta \\ velocityr,0 \\ {v}_i=vj \\ velocityatr\cos \theta ,r\sin \theta \\ {v}_f=-v\sin \theta i+v\cos \theta j \\ changeinvelocity=-v\sin \theta i+v\cos \theta j-vj=-v\sin \theta i+v\left(\cos \theta -1\right)j \\ Regards \end{gathered}$$