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as a guide to thinking about how an alteration in one quantity would affect a second quantity.Īn equation expresses a mathematical relationship between the quantities present in that equation.

as a "recipe" for algebraic problem-solving in order to solve for an unknown quantity.

This set of circular motion equations can be used in two ways: The equations in the middle (above) and on the right (above) are derived from the equation on the left by the substitution of the expressions for acceleration. The net force is related to the acceleration of the object (as is always the case) and is thus given by the following three equations: In general, the inward force is larger than the outward force (if any) such that the outward force cancels and the unbalanced force is in the direction of the center of the circle.

While there may by more than one force acting upon the object, the vector sum of all of them should add up to the net force. The net force ( F net) acting upon an object moving in circular motion is directed inwards. The equation on the right (above) is derived from the equation on the left by the substitution of the expression for speed.

The acceleration of an object moving in a circle can be determined by either two of the following equations. The speed of an object moving in a circle is given by the following equation. These three quantities are speed, acceleration and force. There are three mathematical quantities that will be of primary interest to us as we analyze the motion of objects in circles.