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sdas [7]
4 years ago
13

An object executes circular motion with constant speed whenever a net force of constant magnitude acts perpendicular to the velo

city. What happens to the speed if the force is not perpendicular to the velocity?
Physics
1 answer:
liraira [26]4 years ago
6 0

Answer: The speed is not constant and the object is performing a non uniform circular motion

Explanation:

Let's begin by explaining that the centripetal force is proportional to the centripetal acceleration a_{c} of an object moving in circular motion is given by the following equation:

a_{c}=\frac{V^{2}}{r}

Where:

V is the velocity

r is the radius of the circle

In uniform circular motion, <u>the centripetal acceleration vector is always perpendicular to the velocity vector</u>, hence, the speed (the magnitude of velocity vector) is constant.

However, if a component of the centripetal acceleration vector is not perpendicular (is parallel to the velocity vector): the speed is not constant, the net force acting on the object will not be perpendicular to its motion and we will be dealing with <u>non uniform circular motion.</u>

It is important to note that in this situation the motion needs a tangential force, as well. Being the tangential acceleration a_{T} proportional to r and the angular acceleration a_{g}:

a_{T}=a_{g} r

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