Why is important to mathematically describe the motion of a body? What do you think will happen if you would not use math in analyzing a body movements? Explain your answer
Answers
Answer:
Speed and Velocity
Acceleration
Centripetal Force Requirement
The Forbidden F-Word
Mathematics of Circular Motion
There are three mathematical quantities that will be of primary interest to us as we analyze the motion of objects in circles. These three quantities are speed, acceleration and force. The speed of an object moving in a circle is given by the following equation.
The acceleration of an object moving in a circle can be determined by either two of the following equations.
The equation on the right (above) is derived from the equation on the left by the substitution of the expression for speed.
The net force (Fnet) acting upon an object moving in circular motion is directed inwards. 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. 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. 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:
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.
Explanation: