Increasing the lever arm increases the torque, assuming the force remains constant.

The torque is zero because $\sin(0°) = 0$.

It maximizes the torque, as all the force contributes to rotation.

The object is in rotational equilibrium (it's either not rotating or rotating at a constant angular velocity).

Increasing the applied force increases the torque, assuming the lever arm and angle remain constant.

The rotational equivalent of force; a measure of how much a force causes an object to rotate.

The perpendicular distance from the axis of rotation to the line of action of the force.

A longer lever arm results in more torque for the same applied force.

$\tau = rF\sin\theta$, where r is the distance from the axis of rotation, F is the force, and θ is the angle between the force and position vector.

Torque is maximized when the force is applied at a 90° angle to the lever arm.

1. Point your fingers in the direction of $\vec{r}$. 2. Curl your fingers towards the direction of $\vec{F}$. 3. Your thumb points in the direction of the torque $\vec{\tau}$.

1. Break down the force into components. 2. Identify the perpendicular component to the lever arm. 3. Calculate torque using the perpendicular component and the lever arm length.

1. Identify the magnitudes of $\vec{r}$ and $\vec{F}$. 2. Determine the angle $\theta$ between $\vec{r}$ and $\vec{F}$. 3. Calculate $|overrightarrow{\tau}| = rF \sin \theta$.