PHYSICS 1 - UNIFORM CIRCULAR MOTION.pptx

This PowerPoint presentation explains Uniform Circular Motion (UCM), covering its key concepts, formulas, and real-life applications. It includes visuals and examples to help students understand how objects move in a circular path at a constant speed while experiencing centripetal acceleration and force.

1. UNIFORM CIRCULAR MOTION General Physics 1 Science, Technology, Engineering, and Mathematics 12 CHAPTER 3: Acceleration and Free Fall Prepared by: Lord William B. Pacurib DON BOSCO TECHNICAL INSTITUTE OF VICTORIAS INC. VICMICO, Victorias City, 6119 Negros Occidental, Philippines Senior High School Department | School Year 2022–2023

2. OBJECTIVES Derive and apply the equation for uniform circular motion

3. INTRODUCTION Last time, we discussed about objects moving in straight lines. How about in circular paths? Have you ever wondered how objects move in circles?

4. LESSON PROPER UNIFORM CIRCULAR MOTION Uniform circular motion can be described as the motion of an object in a circle at a constant speed. As an object moves in a circle, it is constantly changing its direction. At all instances, the object is moving tangent to the circle.

5. Centripetal force is the force directed towards the center of the circle that keeps an object in circular motion . Several examples include: Tension in a string Gravitational attraction CENTRIPETAL FORCE

6. There are several parameters that we need to consider when calculating for the centripetal acceleration: Velocity/speed Radius

7. The acceleration ( a c ) of an object in uniform circular motion is equal to the square of its velocity ( v ) divided by the radius ( r ) of the circular path.  

8. SAMPLE PROBLEM 1: Consider a ball tied to a 1.0 meter and a 5.0 meter spring. If the spring rotates at a rate of 5.0 m/s. Determine the centripetal acceleration of the ball. SOLUTION 1: Solving for the centripetal acceleration of a ball tied to a 1.0 meter spring length.        

9. SOLUTION 2: Solving for the centripetal acceleration of a ball tied to a 5.0 meter spring length.        

10. If the velocity, however, if not given, we can determine the centripetal acceleration if the radius ( R ) of the circle and the period ( T ) are given. For an object moving in circular motion, it takes a T for the object to complete a whole trip around the circle. Mathematically:  

11. Applying this to acceleration, we have another expression to the centripetal acceleration: