Question

For a uniform circular motion, __________________

Answer 1

Uniform cirular motion

1. When 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.
2. So now we can say that the motion of a body with constant speed in a circular way is termed uniform circular motion.
3. For motion, a particle must have some acceleration acting toward the center which will help the body to move in a circle.
4. At every given instant, the acceleration of a particle is perpendicular to the velocity.
5. There is only a change in direction of velocity but not the magnitude.
6. Therefore, this motion is a uniform circular motion.
7. Example: motion of electrons around its nucleus, the motion of blades of the windmills, etc.
8. 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

$a_c=\frac{m{v}^2}{R}[m=mass,R=radius,v=velocity,a_c=centripetalacceleration]$

Step3:

1. Because this acceleration is continually directed towards the circle's center, its direction is always shifting. As a result, the acceleration isn't consistent.
2. 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.
3. Demonstrating with the help of a diagram

Hence, for a uniform circular motion, velocity is along the tangent, and acceleration is towards the center of the circle.