##### Asked by: Chaoping Triadu

asked in category: General Last Updated: 3rd March, 2020# Is centripetal force constant in uniform circular motion?

**uniform circular motion**is moving with a

**constant**speed. Nonetheless, it is accelerating due to its change in direction. The net

**force**acting upon such an object is directed towards the center of the

**circle**. The net

**force**is said to be an inward or

**centripetal force**.

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Hereof, is centripetal acceleration constant in uniform circular motion?

**Centripetal acceleration**,which is responsible for the change in direction given by a=v^2/r. Now in **UNIFORM CIRCULAR MOTION**(UCM), the magnitude of velocity is **constant** but the direction varies, which means the angular velocity or speed is **constant**,hence the tangential **acceleration** is zero.

Subsequently, question is, what remain constant in uniform circular motion and what changes continuously in uniform circular motion? Since in an **uniform circular motion**, although the speed of body **remains constant** but the direction of velocity of the body **changes continuously** and hence the velocity of the body **changes** at every instant. Hence the body is said to be accelerated though the speed is **constant** in a **circular** path.

Subsequently, question is, is centripetal force constant?

As the **centripetal force** acts upon an object moving in a circle at **constant** speed, the **force** always acts inward as the velocity of the object is directed tangent to the circle. In fact, whenever the unbalanced **centripetal force** acts perpendicular to the direction of motion, the speed of the object will remain **constant**.

Does circular motion have constant acceleration?

An object undergoing uniform **circular motion is** moving with a **constant** speed. Nonetheless, it **is accelerating** due to its change in direction. Yet, with the inward net force directed perpendicular to the velocity vector, the object **is** always changing its direction and undergoing an inward **acceleration**.