5.3 Torque

• What is the formula for torque?

  $\tau =$$rF\sin\theta$
• What three factors does torque depend on?

  Force, distance, angle
• The angle θ in the torque formula is measured in degrees.

  True
• What is the mathematical expression for the moment arm in the torque formula?

  $r\sin\theta$
• What is the formula for torque?

  $\tau =$$rF\sin\theta$
• What is the definition of the moment arm?

  Perpendicular distance to force
• The direction of torque is determined using the right-hand rule.
• What does the variable 'r' represent in the torque formula?

  Distance from axis
• The moment arm is the perpendicular distance from the axis of rotation to the line of action of the force.
• Match the term with its characteristic:

  Moment Arm ↔️ Perpendicular distance from axis to force

  Distance from Axis ↔️ Total distance from axis to force application point
• The moment arm is the total distance from the axis to the force application point.

  False
• The moment arm can be any angle relative to the applied force.


  True
• Match the variable with its symbol and units in the torque formula:

  Torque ↔️ $\tau$ N·m

  Distance ↔️ $r$ m

  Force ↔️ $F$ N

  Angle ↔️ $\theta$ degrees
• Match the unit of torque with its symbol and conversion to Newton-meters:

  Newton-meters ↔️ N·m 1 N·m

  Pound-feet ↔️ lb-ft ≈ 1.356 N·m
• The moment arm is the perpendicular distance from the axis of rotation to the line of action of the applied force
• What is the formula for torque?

  $\tau =$$rF\sin\theta$
• The magnitude of the applied force is represented by the variable F
• The units of torque are Newton-meters, which can be written as N·m
• The direction of torque is determined using the right-hand rule
• When multiple forces act, their torques are summed to find the net torque.

  True
• What does 'I' represent in the equation $\tau =$$I\alpha$?


  Moment of inertia
• The units of torque are Newton-meters (N·m).


  True
• The magnitude of the force in the torque formula is represented by the variable F.
• Match the variable with its description:

  Torque ↔️ Tendency of a force to cause rotation

  Force ↔️ Magnitude of the applied force

  Distance ↔️ Distance from axis to force application
• The moment arm is crucial for determining the magnitude of the torque.
• The moment arm is the perpendicular distance, which is equal to $r\sin\theta$
• The moment arm is maximized when the force is perpendicular to the distance
• The angle $\theta$ in the torque formula is between the force vector and the distance vector
• What is the SI unit for torque?

  Newton-meters
• What is the unit of torque?

  N·m
• Arrange the variables of the torque formula in the order they appear:

  1️⃣ $\tau$

  2️⃣ $r$

  3️⃣ $F$

  4️⃣ $\sin\theta$
• What does 'r' represent in the torque formula?

  Distance from axis
• Match the variable in the torque formula with its symbol and units:

  Torque ↔️ $\tau$ | N·m

  Distance ↔️ $r$ | m

  Force ↔️ $F$ | N

  Angle ↔️ $\theta$ | degrees
• In which field is pound-feet used as a unit of torque?

  Engineering
• What is the direction of torque if the force is upward and the distance vector is outward?

  Counterclockwise
• What is the equation relating torque and angular acceleration?

  $\tau =$$I\alpha$
• Match the variable in the equation $\tau =$$I\alpha$ with its units:


  Torque ↔️ N·m

  Moment of Inertia ↔️ kg·m²

  Angular Acceleration ↔️ rad/s²
• What does $F$ represent in the torque formula?


  Magnitude of force
• The units of torque are Newton-meters.


  True
• Torque depends on the magnitude of the force, the distance from the axis, and the angle between the force and distance vector.


  True