For uniform circular motion write equation of centripetal force, centripetal acceleration. Also write examples.
For uniform circular motion write equation of centripetal force, centripetal acceleration. Also write examples.
When body of mass $\mathrm{m}$ moves on circular path of radius $\mathrm{R}$ with constant speed $v$, it has centripetal or radial acceleration $a=\frac{v^{2}}{\mathrm{R}}$. Direction of acceleration is toward centre of the circle which is shown in figure.
By Newton's second law of motion necessary force to provide this acceleration $f_{c}=\frac{m v^{2}}{\mathrm{R}}$. Direction of this force is toward centre of the circle hence this force is called centripetal force.
In different situation centripetal force is provided as follows :
$(1) $For planet revolving around the Sun necessary centripetal is provided by gravitational force.
$(2)$ For electron revolving around the nucleus in atom necessary centripetal force is provided by Coulombian force (electric force).
$(3)$ For vehicles moving on level circular track necessary centripetal force is provided by friction force, between tyre and road.
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