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# Year 12 Physics

## Module 5 | Advanced mechanics

### Content 2: Circular motion

#### Lesson 1 | Analysing the motion of objects in uniform circular motion

• conduct investigations to explain and evaluate, for objects executing uniform circular motion, the relationships that exist between:
– centripetal force
– mass
– speed

• solve problems, model and make quantitative predictions about objects executing uniform circular motion in a variety of situations, using the following relationships:
$\vec{a} = \frac{{\left | \vec{v} \right |}^{2}}{\vec{r}}$
– $\Sigma \vec{F} = \frac{m{\left | \vec{v} \right |}^{2}}{\vec{r}}$
– $\omega = \frac{\Delta \theta }{t}$

#### Lesson 2 | Analysing the forces involved in uniform circular motion

• analyse the forces acting on an object executing uniform circular motion in a variety of situations, for example:
– cars moving around horizontal circular bends
– a mass on a string
– objects on banked tracks (ACSPH100)

#### Lesson 3 | Total energy and work done on objects in uniform circular motion

• investigate the relationship between the total energy and work done on an object executing uniform circular motion

#### Lesson 4 | Torque and the rotation of mechanical systems

• investigate the relationship between the rotation of mechanical systems and the applied torque τ = r⊥F = rFsinθ