Equations of Circular Motion
Category : JEE Main & Advanced
| For accelerated motion | For retarded motion |
| \[{{\omega }_{2}}={{\omega }_{1}}+\alpha \,t\] | \[{{\omega }_{2}}={{\omega }_{1}}-\alpha \,t\] |
| \[\theta ={{\omega }_{1}}t+\frac{1}{2}\alpha \,{{t}^{2}}\] | \[\theta ={{\omega }_{1}}t-\frac{1}{2}\alpha \,{{t}^{2}}\] |
| \[\omega _{_{2}}^{2}=\omega _{_{1}}^{2}+2\alpha \,\theta \] | \[\omega _{_{2}}^{2}=\omega _{_{1}}^{2}-2\alpha \,\theta \] |
| \[{{\theta }_{n}}={{\omega }_{1}}+\frac{\alpha }{2}(2n-1)\] | \[{{\theta }_{n}}={{\omega }_{1}}-\frac{\alpha }{2}(2n-1)\] |
Where
\[{{\omega }_{1}}=\] Initial angular velocity of particle
\[{{\omega }_{2}}=\] Final angular velocity of particle
\[\alpha =\] Angular acceleration of particle
\[\theta =\] Angle covered by the particle in time t
\[{{\theta }_{n}}=\] Angle covered by the particle in nth second
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