Objectives (5 - 7 minutes)

1. Understand the concept of uniformly varied circular motion and its relation to acceleration.

   • Identify the characteristics of uniform and uniformly varied circular motion.
   • Recognize acceleration as the variation of angular velocity.

2. Apply the formulas derived from the MCUV to solve problems related to the acceleration of circular motion.

   • Use the formulas to calculate centripetal acceleration and tangential acceleration.
   • Solve practical problems involving the acceleration of uniformly varied circular motion.

3. Relate the concept of acceleration of circular motion to everyday situations and natural phenomena.

   • Identify examples of uniformly varied circular motion in everyday life.
   • Explain how the acceleration of circular motion is present in natural phenomena.

Introduction (10 - 15 minutes)

1. Review of previous concepts:

   • The teacher should start the class by recalling the concepts of circular motion and its characteristics. It should be emphasized that angular velocity and radius are primordial factors in circular motion.

     • It is important to reinforce the idea that angular velocity is the ratio between the angle traveled and the time, while the radius is the distance from the center of the circle to the point where the object moves.

2. Initial problem situations:

   • To introduce the topic and arouse students' interest, the teacher can propose two problem situations: one involving a carousel in an amusement park and another with a bicycle on a closed curve.

     • The teacher should ask students what the acceleration would be so that a passenger on the carousel does not fall out and what would happen to the bicycle if the cyclist did not reduce speed when entering the curve.

3. Contextualization of the topic:

   • The teacher should explain that uniformly varied circular motion is widely observed in nature, from the movement of planets around the sun to the movement of a spinning ballerina.

     • It is also important to highlight that understanding the acceleration of circular motion is crucial in various areas, such as vehicle engineering, the construction of amusement parks, and even in medicine, to understand the movement of internal organs.

4. Introduction of the topic:

   • The teacher can introduce the topic in an interesting way by telling the story of Isaac Newton and how he developed the law of universal gravitation, which describes the movement of planets around the sun, based on principles of uniformly varied circular motion.

     • To further capture students' attention, the teacher can share curiosities, such as the fact that the acceleration felt by an astronaut during a rocket launch is about 3 times the acceleration of gravity on Earth, or that the acceleration of a Formula 1 driver in a curve can reach 5g.

Development (20 - 25 minutes)

1. Theory - Concept of Acceleration in Uniformly Varied Circular Motion (8 - 10 minutes):

   • The teacher should begin by explaining that, in uniformly varied circular motion, acceleration is constant in magnitude, but varies in direction.

   • The concept of centripetal acceleration and tangential acceleration must be introduced. Centripetal acceleration is the acceleration that keeps an object in circular motion, always pointing to the center of the circle. Tangential acceleration is the acceleration that changes the velocity of the object along the circumference.

   • The teacher should emphasize that centripetal acceleration is always responsible for changing the direction of the movement, while tangential acceleration is responsible for changing the speed of the movement.

   • It should also be explained that the resultant acceleration, in uniformly varied circular motion, is the combination of centripetal acceleration and tangential acceleration.

2. Theory - Formulas for Calculating Acceleration in the MCUV (7 - 8 minutes):

   • The teacher should present the formulas for calculating acceleration in uniformly varied circular motion. The formula for centripetal acceleration is a = ω² * r, where ω is the angular velocity and r is the radius of the circle.

   • The formula for tangential acceleration is a = α * r, where α is the angular acceleration and r is the radius of the circle.

   • The teacher should explain how to use the formulas, emphasizing the importance of using the correct units for each quantity.

3. Practice - Examples of Applying the Formulas (5 - 7 minutes):

   • The teacher should present examples of problems involving the calculation of acceleration in uniformly varied circular motion.

     • The teacher should explain step by step how to use the formulas to solve each problem, showing the calculations clearly and in detail.

     • It is important to emphasize that, to solve the problems, students must understand the formulas and know how to apply them correctly.

4. Theory - Relationship between Acceleration and Circular Motion in Everyday Life (5 - 7 minutes):

   • The teacher should contextualize the theory presented, showing how the concept of acceleration in uniformly varied circular motion is applied in everyday life.

     • Practical examples should be presented, such as the movement of a roller coaster, centrifugation in a washing machine, or the movement of a satellite in orbit around the Earth.

     • The teacher should explain how understanding the acceleration of circular motion can help to understand and predict the behavior of these phenomena.

Feedback (10 - 12 minutes)

1. Group Discussion (5 - 6 minutes):

   • The teacher should divide the class into small groups and ask them to discuss and identify everyday situations where the acceleration of uniformly varied circular motion is present.

     • Each group should present a maximum of two situations identified, explaining how the acceleration of circular motion acts and what the relationship is with the formulas studied.

     • The teacher should circulate among the groups, guiding the discussion and clarifying doubts. After the presentations, the teacher should ask questions for each group, encouraging reflection and deepening of the subject.

2. Learning Verification (3 - 4 minutes):

   • The teacher should propose that the groups choose one of the examples presented and solve a hypothetical problem related to it, using the formulas studied.

     • Each group should present the resolution of the problem, explaining the steps and calculations performed. The teacher should evaluate the response of each group, clarifying doubts and making constructive comments.

3. Connection with Reality (2 - 3 minutes):

   • To end the class, the teacher should ask students to reflect individually on the importance of the content learned and how it applies to their lives.

     • The teacher can ask questions to instigate this reflection, such as: "How can understanding the acceleration of circular motion be useful for an engineer designing an amusement park?" or "How does the acceleration of circular motion affect the experience of a passenger on a roller coaster?".

     • The teacher should encourage students to share their reflections, creating an environment of respect and valuing each other's opinions.

4. Final Feedback (1 minute):

   • The teacher should end the class by asking students to assess what they have learned and whether they feel confident in solving problems related to the acceleration of uniformly varied circular motion.

     • The teacher can request quick feedback, for example, by asking students to raise their thumbs up if they feel confident and their thumbs down if they still have questions. This can help the teacher evaluate the effectiveness of the lesson and plan future reinforcement activities, if necessary.

Conclusion (5 - 7 minutes)

1. Summary of the Class (2 - 3 minutes):

   • The teacher should begin the Conclusion by recalling the main points covered during the class. He can make a brief summary, highlighting the definition of uniformly varied circular motion, the difference between centripetal and tangential acceleration, and the formulas used to calculate acceleration in the MCUV.

     • It is important that the teacher emphasizes the most important concepts and that were more problematic for the students, ensuring that everyone has understood.

2. Connection between Theory and Practice (1 - 2 minutes):

   • The teacher should explain how the class connected theory, practice, and application. He can highlight how the theory about acceleration in the MCUV was applied in solving practical problems and how these concepts are relevant to understanding everyday phenomena.

     • The teacher should emphasize that physics is not just a collection of formulas and theories, but a powerful tool for understanding the world around us and solving real problems.

3. Supplementary Materials (1 - 2 minutes):

   • The teacher should suggest materials for additional study, such as explanatory videos, physics simulation websites, textbooks, among others.

     • He can, for example, suggest that students watch a video about acceleration in circular motion in everyday life, or that they explore an interactive simulation that allows them to experiment with different parameters and observe the effects on acceleration.

4. Practical Application (1 minute):

   • Finally, the teacher should reinforce the importance of acceleration in uniformly varied circular motion for everyday life, highlighting practical examples that were discussed during the class.

     • He can, for example, mention again the importance of the concept for vehicle engineering, the construction of amusement parks, medicine, among others.

     • The teacher should end the class by reinforcing that physics is a science that is present in our daily lives and that understanding its concepts can help us better understand the world around us.