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# For a uniform circular motion, __________________

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## Uniform cirular motionWhen a body is moving or following in a circular path then it is called circular motion. As the motion is happening in a circular path.So now we can say that the motion of a body with constant speed in a circular way is termed uniform circular motion.For motion, a particle must have some acceleration acting toward the center which will help the body to move in a circle.At every given instant, the acceleration of a particle is perpendicular to the velocity.There is only a change in direction of velocity but not the magnitude.Therefore, this motion is a uniform circular motion.Example: motion of electrons around its nucleus, the motion of blades of the windmills, etc.Now, the tangential and radial or normal components of a particle's acceleration in circular motion are different. The tangential acceleration must be 0 since the particle's speed in the tangential direction remains constant in a uniform circular motion.Step2: Formula for centripetal acceleration${a}_{c}=\frac{m{v}^{2}}{R}\left[m=mass,R=radius,v=velocity,{a}_{c}=centripetalacceleration\right]$Step3: Because this acceleration is continually directed towards the circle's center, its direction is always shifting. As a result, the acceleration isn't consistent. In addition, the velocity of the particle is always along the tangent of the circle. As a result, its course is constantly shifting. As a result, the velocity is not constant.Demonstrating with the help of a diagramHence, for a uniform circular motion, velocity is along the tangent, and acceleration is towards the center of the circle.

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