Quantum Tunneling
  • Home
  • Physics 12, SPH4U
    • Module 1: Dynamics >
      • Lesson 1: Motion and Motion Graphs
      • Lesson 2: Equations of Motion
      • Lesson 3: Displacement in Two Dimensions
      • Lesson 4: Velocity and Acceleration in Two Dimensions
      • Lesson 5: Projectile Motion
      • Lesson 6: Relative Motion
      • Lesson 7: Forces and Free Body Diagrams
      • Lesson 8: Newton's Laws of Motion
      • Lesson 9: Applying Newton's Laws of Motion
      • Lesson 10: Forces of Friction
      • Lesson 11: Inertial and Non Inertial Frames of Reference
      • Lesson 12: Centripetal Acceleration
      • Lesson 13: Centripetal Force
      • Module 1 Assessment
    • Module 2: E and P >
      • Lesson 1: Work Done by a Constant Force
      • Lesson 2: Kinetic Energy and Work Energy Theorem
      • Lesson 3: Gravitational Potential Energy
      • Lesson 4: The Law of Conservation of Energy
      • Lesson 5: Elastic Potential Energy and SHM
      • Lesson 6: Springs and Conservation of Energy
      • Lesson 7: Momentum and Impulse
      • Lesson 8: Conservation of Momentum in One Dimension
      • Lesson 9: Collisions
      • Lesson 10: Head-on Elastic Collisions
      • Module 2 Assessment
    • Module 3: Fields >
      • Lesson 1: Newtonian Gravitation
      • Lesson 2: Orbits
      • Lesson 3: Electric Force
      • Lesson 4: Electric Fields
      • Lesson 5: The Milikan Oil Drop Experiment
      • Lesson 6: Magnets
      • Lesson 7: Magnetic Force on Moving Charges
      • Lesson 8: Motion of Charged Particles in Magnetic Fields
      • Module 3 Assessment
    • Module 4: Light >
      • Lesson 1: Properties of Waves and Light
      • Lesson 2: Refraction and Total Internal Reflection
      • Lesson 3: Diffraction and Interference of Water Waves
      • Lesson 4: Interference of Light Waves
      • Lesson 5: Electromagnetic Radiation
      • Module 4 Assessment
    • Module 5: Revolution >
      • Lesson 1: The Special Theory of Relativity
      • Lesson 2: Time Dilation
      • Lesson 3: Consequences of Special Relativity
      • Lesson 4: Quantum Theory
      • Lesson 5: Photons
      • Lesson 6: Matter Waves
      • Module 5 Assessment

Lesson 12: Centripetal Acceleration

Overview:

Could one man run a loop the loop? Daredevils throughout history have been pushing the boundaries of risk, jumping across canyons and flying over rows of vehicles on their bikes. But have never undertaken this unbelievable stunt by foot alone.

In this lesson you will investigate uniform circular motion and solve related problems.

Curriculum Expectations:

Specific Expectations:
B2.1 Use appropriate terminology related to dynamics, including, but not limited to: inertial and non-inertial frames of reference, components,  centripetal, period, frequency, static friction, and kinetic friction.

B3.3 Explain the derivation of equations for uniform circular motion that involve the variables frequency, period, radius speed, and mass.

Success Criteria:

  1. What is uniform circular motion?
  2. Do objects under uniform circular motion experience acceleration?
  3. Is uniform circular motion an example of an inertial frame of reference?
  4. What is centripetal acceleration and how do we calculate it?
  5. What is the period of a rotating object and how do we calculate it?
  6. What is the formula for the speed of uniform circular motion in terms of the period of rotation?
  7. What is the frequency of a rotating object?
  8. Explain the derivation of the equation of centripetal acceleration for uniform circular motion.

Time Allocation: 2 hours


Learning Activities:

Read pages 114 - 118 from Nelson 3.2

Ladybug Motion 2D
Learn about position, velocity and acceleration vectors. Move the ladybug by setting the position, velocity or acceleration, and see how the vectors change. Choose linear, circular or elliptical motion, and record and playback the motion to analyze the behavior.
Ladybug Motion 2D
Click to Run

In the playlist below, video:
  1. Will explain circular motion, acceleration, and centripetal acceleration.
  2. Will show you how to develop the acceleration equation for the circular motion.

Practice questions 1, 2, and 3 on page 118.

Task:

Solve questions 3, 4, 6, and 7 from Nelson 3.2 Review on page 119.

Optional Extension: 
  • Solve question 11 on page 119.

Reflect:

How did the information you learned in this unit affect your thinking about the directions of the vectors for displacement, velocity, and acceleration? Describe in your own words how these three properties of motion can point in different directions.

Additional Resources:


Lesson 11
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  • Home
  • Physics 12, SPH4U
    • Module 1: Dynamics >
      • Lesson 1: Motion and Motion Graphs
      • Lesson 2: Equations of Motion
      • Lesson 3: Displacement in Two Dimensions
      • Lesson 4: Velocity and Acceleration in Two Dimensions
      • Lesson 5: Projectile Motion
      • Lesson 6: Relative Motion
      • Lesson 7: Forces and Free Body Diagrams
      • Lesson 8: Newton's Laws of Motion
      • Lesson 9: Applying Newton's Laws of Motion
      • Lesson 10: Forces of Friction
      • Lesson 11: Inertial and Non Inertial Frames of Reference
      • Lesson 12: Centripetal Acceleration
      • Lesson 13: Centripetal Force
      • Module 1 Assessment
    • Module 2: E and P >
      • Lesson 1: Work Done by a Constant Force
      • Lesson 2: Kinetic Energy and Work Energy Theorem
      • Lesson 3: Gravitational Potential Energy
      • Lesson 4: The Law of Conservation of Energy
      • Lesson 5: Elastic Potential Energy and SHM
      • Lesson 6: Springs and Conservation of Energy
      • Lesson 7: Momentum and Impulse
      • Lesson 8: Conservation of Momentum in One Dimension
      • Lesson 9: Collisions
      • Lesson 10: Head-on Elastic Collisions
      • Module 2 Assessment
    • Module 3: Fields >
      • Lesson 1: Newtonian Gravitation
      • Lesson 2: Orbits
      • Lesson 3: Electric Force
      • Lesson 4: Electric Fields
      • Lesson 5: The Milikan Oil Drop Experiment
      • Lesson 6: Magnets
      • Lesson 7: Magnetic Force on Moving Charges
      • Lesson 8: Motion of Charged Particles in Magnetic Fields
      • Module 3 Assessment
    • Module 4: Light >
      • Lesson 1: Properties of Waves and Light
      • Lesson 2: Refraction and Total Internal Reflection
      • Lesson 3: Diffraction and Interference of Water Waves
      • Lesson 4: Interference of Light Waves
      • Lesson 5: Electromagnetic Radiation
      • Module 4 Assessment
    • Module 5: Revolution >
      • Lesson 1: The Special Theory of Relativity
      • Lesson 2: Time Dilation
      • Lesson 3: Consequences of Special Relativity
      • Lesson 4: Quantum Theory
      • Lesson 5: Photons
      • Lesson 6: Matter Waves
      • Module 5 Assessment