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An object is moving with constant speed in a
circular path. The object's centripetal
acceleration remains constant in
(1) magnitude, only
(2) direction, only
(3) both magnitude and direction
(4) neither magnitude nor direction


Sagot :

Answer:

both magnitude and direction

Explanation:

When an object moves in a circular path, its motion is called uniform circular motion. In this motion, the force acting on it is centripetal force and it is moving under centripetal acceleration. This type of force acts towards the centre of the circle.

In this type of motion, the speed remains constant while the velocity keeps on changing. The object's centripetal  acceleration remains constant in magnitude as well as direction.

Hence, the correct option is (3).

If an object is moving with constant speed in the circular path the object's centripetal  acceleration remains constant in both magnitude and direction

The formula for calculating the centripetal acceleration of an object is expressed as:

[tex]a =\frac{v^2}{r}[/tex]

  • v is the speed of the object
  • r is the radius of the circular path

  • If the speed of the object is constant, the acceleration is of the body is also constant.

Hence if an object is moving with constant speed in the circular path the object's centripetal  acceleration remains constant in both magnitude and direction

Learn more on centripetal acceleration here: https://brainly.com/question/79801