Lesson 12: Centripetal Acceleration
Overview:
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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.
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:
- What is uniform circular motion?
- Do objects under uniform circular motion experience acceleration?
- Is uniform circular motion an example of an inertial frame of reference?
- What is centripetal acceleration and how do we calculate it?
- What is the period of a rotating object and how do we calculate it?
- What is the formula for the speed of uniform circular motion in terms of the period of rotation?
- What is the frequency of a rotating object?
- 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
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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. |
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In the playlist below, video:
- Will explain circular motion, acceleration, and centripetal acceleration.
- 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:
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.
