Torque

AP Physics 1

💡 Click the banner above to drop weights and experiment with active torque!

Introductory Video: Torque & Rotational Equilibrium

Inventor loosening bolt

Under what conditions can a 24 kg box balance a 12 kg box?

Balance Diagram Diagram D: The Seesaw Equilibrium

I. Torque ($\tau$ - Tau)

A)

Torque is a rotating force that causes angular acceleration.

B)

It depends on the applied force ($F$) and the displacement vector from the axis of rotation to the point of application.

Rotating Force Diagram Diagram E: Angular Force Vector
C)

The distance perpendicular to the line of action is called the moment arm or lever arm.

Moment Arm Diagram
D)

Torque is maximized when the force is applied at a 90-degree angle ($90^\circ$ or $\frac{\pi}{2}$ radians) to the lever arm.

Max Torque Angle Diagram
E) Rotational Force Equation:
$$\tau = d [F \cdot \sin(\theta)]$$
Where Units are: $\text{meters} \cdot \text{Newtons}$ ($\text{m}\cdot\text{N}$)
F) Crucial Conceptual Distinction:
⚠️

Work vs. Torque Units

Although mathematically equivalent to Joules ($\text{N}\cdot\text{m}$), torque units are *always* written as **$\text{m}\cdot\text{N}$** (or $\text{N}\cdot\text{m}$). **Never use Joules for Torque!** Joules are reserved for scalar energy, while torque is a rotational vector.

Allen Wrench Rotation

Assigned Reading

Review rotational dynamics concepts in detail:

📖 Giancoli p. 220 | Questions 23, 25

Video Experiment: Applications of Torque in Real Life