Respuesta :
Uniform circular motion occurs when an object is traveling with constant speed in a circle.
Explanation:
An object is said to be moving in a uniform circular motion when it is moving in a circular path at constant speed.
For an object to be in circular motion, there must be a force acting towards the centre of the trajectory, and this force is called centripetal force. It is given by:
[tex]F=m\frac{v^2}{r}[/tex]
where
m is the mass of the object
v is the speed of the object
r is the radius of the circle
Since we have a force, the object also has an acceleration, called centripetal acceleration and given by:
[tex]a=\frac{v^2}{r}[/tex]
We can also note that since the object has a non-zero acceleration, it means that its velocity is changing (in fact, acceleration is the rate of change of velocity). This is not in contrast with the fact that the object is travelling at constant speed: in fact, velocity is a vector, so it consists of both a magnitude (the speed) and a direction. In the case of the uniform circular motion, only the direction is changing, while the speed is constant.
Learn more about circular motion:
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