Circular motion is caused by an unbalanced force acting towards the center of the circle. This force is called the centripetal force which needs to be provided by a physical mechanism. e.g. gravity, friction, tension etc.
a = V² / r
Where a is the centripetal acceleration towards the center of a circle, V is velocity and r is the radius. From this equation, because we already know that F = ma…
F = mV² / r
Which is the equation for the centripetal force required. From this equation, we can produce a rough graph.
From the graph, the constant in the equation is the centripetal force / mass.
- The centripetal force causes circular motion which is an unbalanced force that acts inwards towards the center of the circle.
- The acceleration from the centripetal force towards the center of the circle is V² / radius.
- The centripetal force requried for circular motion is mV² / radius.