# Unit Planner: Rotational dynamics Unit: Rotational dynamics

Start date:

End date:

Diploma assessment

When will the content be assessed?

Paper 1
Paper 2
Paper 3 x
Investigation x

Text book reference

Hamper - online resources

#### Inquiry: Establishing the purpose of the unit

Transfer Goals
List here one to three big, overarching, long-term goals for this unit. Transfer goals are the major goals that ask students to “transfer”, or apply, their knowledge, skills, and concepts at the end of the unit under new/different circumstances, and on their own without scaffolding from the teacher.

• To know the concepts of moment of inertia, angular velocity, torque and angular momentum
• To understand the effects of work done on rotating bodies
• To be able to predict the equivalent rotational and translational dynamics equations

Content
List here the key content that students will know by the end of the unit

Rotation

• State the definition of Torque and understand their effect.
• State the conditions for equilibrium.

Torques and angular acceleration

• Define angular displacement, velocity and acceleration.

Angular momentum

• Define angular momentum.
• State the principle of conservation of angular momentum.

Skills
List here the key skills that students will develop by the end of the unit.

Rotation

• Use the conditions for equilibrium to solve problems involving balanced beams and masses.

Torques and angular acceleration

• Solve problems where forces and torques must be balanced.
• Solve problems involving forces that are not perpendicular to line joining point of application to pivot.
• Solve problems using the angular suvat equivalents.

Newton's Second Law and rotation

• By considering a rigid body to be made of a number of points, derive the equation Γ = Σmr2.
• Solve problems related to angular acceleration and Torque for bodies ok known moment of inertia.

Rotational kinetic energy and work

• Derive equation KE = 1/2 Iω2 by considering the KE energy of individual particles of a rigid body.
• Derive W = Γθ by considering the work done by small displacments of a rotating force.
• Calculate the KE gained when a torque is applied to a rigid body.
• Derive the equation for the final velocity of a ball rolling down a slope.

Angular momentum

• Apply the principle of angular momentum to explain different examples and solve problems.

Concepts
List here the key concepts that students will understand by the end of the unit

Rotation

• Understand that bodies can rotate if a force doesn't act on the centre of mass.
• Understand that unbalanced torques will cause rotation.
• Understand how balancing torques can be utilised in levers.

Newton's Second Law and rotation

• Understand the relationship between tangential motion and rotational motion (v = ωr, a = αr)
• Understand how by applying Newton's 2nd law to the tangential motion of a particle moving in a circle we find that Γ = mαr2.
• Understand how the moment of inertia is related to the way mass is distributed around the pivot.

Rotational kinetic energy and work

• Understand why a rolling ball gets down a slope slower than a sliding one.

Applications
Examples of real world practical applications of knowledge.

• This whole topic "engineering physics" is one big utilisation. Advances in engineering have certainly changed the way we live but not all communities have been affected to the same extent.
• Levers
• Cantilevers
• Bridges
• Pub signs
• Traction engine flywheels
• Tightrope walker poles
• Ice skating
• Gymnastics
• Diving
• Break dancing
• Physics teachers sitting on revolving chairs

#### Action: teaching and learning through Inquiry

Approaches to teaching
Tick boxes to indicate pedagogical approaches used.

Lecture x
Simulation x
Small group work (pairs) x
Hands on practical x
Video x
Student centred inquiry x

TOK
Examples of how TOK can be introduced in this unit

• In Interactive Physics we can apply parallel forces to a body in space. This gives an unexpected results since we imagine the outcome in the gravitational field of the Earth.
• What is the difference between engineering and physics?
• Angular momentum is not so intuitive as linear momentum. It is relatively easy to visualise the outcome of two balls colliding but not so simple to visualise a mass landing on a rotating platform.
• When children play on a roundabout they experience the effect of changing the moment of inertia but how many realise that it spins faster if everyone moves to the centre?

NOS
Examples of how NOS can be introduced in this unit.

• Up to this point in the course we have been considering bodies to be points. This model is not enough to solve problems involving rigid bodies so we define some new quantities.
• Interesting how the angular quantities are related in the same way so lead to the same equations.
• We have developed Newton's second law for examples of constant linear acceleration. By taking small steps, where the acceleration is considered constant, we can apply it to rotational problems.
• When doing the rolling ball practical earlier in the year there were certain things that couldn't be explained. Now they can be.

#### Reflections

What went well
List the portions of the unit (content, assessment, planning) that were successful

What didn’t work well
List the portions of the unit (content, assessment, planning) that were not as successful as hoped

Notes/changes/suggestions:
List any notes, suggestions, or considerations for the future teaching of this unit.

All materials on this website are for the exclusive use of teachers and students at subscribing schools for the period of their subscription. Any unauthorised copying or posting of materials on other websites is an infringement of our copyright and could result in your account being blocked and legal action being taken against you.