Torque is the product of a force and its lever arm about the axis of rotation.

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

State the three factors that determine the magnitude of a torque .

The magnitude of the applied force The distance from the axis of rotation to the point of application of the force The angle between the position vector and the force vector

How is torque the rotational analog of force ?

A net force causes linear acceleration, while a net torque causes angular acceleration.

A force applied at the .......... of rotation does not produce a torque.

A force applied at the axis of rotation does not produce a torque.

What is a force diagram ?

A diagram that represents an object as a rigid system and shows each force at the point where it is exerted on the system.

How does a force diagram differ from a free-body diagram ?

Free-body diagrams represent objects as point particles Force diagrams represent objects as rigid systems

What do the length and direction of an arrow represent in a force diagram?

Length: the relative magnitude of the force Direction: the relative direction of the force

Why are force diagrams useful for analyzing torque?

They show the location at which each force is exerted relative to the axis of rotation They allow the rotational motion of the system to be predicted

Where should each force arrow start when drawing a force diagram of a rod?

On, and pointing away from, the point at which the force is exerted on the rod.

In a pulley-mass system, the forces on the rotating pulley are shown on a .......... diagram.

In a pulley-mass system, the forces on the rotating pulley are shown on a force diagram.

True or False? A free-body diagram shows the point on a rigid system where each force is exerted.

False. A free-body diagram treats the object as a point particle . A force diagram shows where each force acts on the rigid system.

AP®PhysicsCollege BoardPhysics 1: Algebra-BasedFlashcardsUnit 5: Torque & Rotational DynamicsTorque

Torque (College Board AP® Physics 1: Algebra-Based): Flashcards

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FrontDefining Torque
Define torque.
FrontDefining Torque
State the equation for the magnitude of torque.
BackDefining Torque
$τ = r F_{⊥} = r F sin θ$
$τ$ = magnitude of the torque (N·m)
$r$ = distance from the axis of rotation to the point where the force is applied (m)
$F$ = magnitude of the applied force (N)
$F_{⊥}$ = component of the force perpendicular to $r$ (N)
$θ$ = angle between the force and $r$ (°)

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Cards in this collection (15)

Define torque.
Torque is the product of a force and its lever arm about the axis of rotation.
Define lever arm.
The lever arm is the perpendicular distance from the axis of rotation to the line of action of the force.
State the equation for the magnitude of torque.
$τ = r F_{⊥} = r F sin θ$
- $τ$ = magnitude of the torque (N·m)
- $r$ = distance from the axis of rotation to the point where the force is applied (m)
- $F$ = magnitude of the applied force (N)
- $F_{⊥}$ = component of the force perpendicular to $r$ (N)
- $θ$ = angle between the force and $r$ (°)
State the three factors that determine the magnitude of a torque.
- The magnitude of the applied force
- The distance from the axis of rotation to the point of application of the force
- The angle between the position vector and the force vector
When does a given force produce the maximum torque?
When the force is applied perpendicular to $r$ , the line from the axis of rotation to the point of application ( $θ = 90 °$ ), so that $τ = r F$ .
How is torque the rotational analog of force?
A net force causes linear acceleration, while a net torque causes angular acceleration.
A force applied at the .......... of rotation does not produce a torque.
A force applied at the axis of rotation does not produce a torque.
True or False?
A force pointing directly toward the axis of rotation produces the maximum torque.
False.
The force acts along the line of $r$ , so $θ = 180 °$ and $sin θ = 0$ , so it produces zero torque.
What is a force diagram?
A diagram that represents an object as a rigid system and shows each force at the point where it is exerted on the system.
How does a force diagram differ from a free-body diagram?
- Free-body diagrams represent objects as point particles
- Force diagrams represent objects as rigid systems
What do the length and direction of an arrow represent in a force diagram?
- Length: the relative magnitude of the force
- Direction: the relative direction of the force
Why are force diagrams useful for analyzing torque?
- They show the location at which each force is exerted relative to the axis of rotation
- They allow the rotational motion of the system to be predicted
Where should each force arrow start when drawing a force diagram of a rod?
On, and pointing away from, the point at which the force is exerted on the rod.
In a pulley-mass system, the forces on the rotating pulley are shown on a .......... diagram.
In a pulley-mass system, the forces on the rotating pulley are shown on a force diagram.
True or False?
A free-body diagram shows the point on a rigid system where each force is exerted.
False.
A free-body diagram treats the object as a point particle. A force diagram shows where each force acts on the rigid system.

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