5.4.1 Moments of a Force

• The moment of a force is a measure of how much a force can cause an object to rotate around a pivot
• What is the formula for the moment of a force?

  $Moment =$$Force \times Distance$
• A longer wrench allows for a smaller force to generate a larger moment.
• The moment of a force is calculated by multiplying the magnitude of the force by the perpendicular distance
• What is the formula for the moment of a force in terms of force and distance?

  $Moment =$$Force \times Distance$
• If a force of 50 N is applied at a distance of 0.5 meters, the moment is 25 Nm.
• Steps to calculate the moment of a force

  1️⃣ Identify the force and distance

  2️⃣ Apply the formula

  3️⃣ Specify the unit
• What is the moment of a force if a 100 N force is applied at a distance of 2 meters?

  200 Nm
• The moment of a force is measured in Newton-meters (Nm).
• The moment of a force is a measure of how much a force can cause an object to rotate around a pivot
• Match the term with its definition or formula:

  Moment ↔️ Ability of a force to cause rotation

  Force ↔️ Magnitude of the applied force

  Distance ↔️ Perpendicular distance from pivot to line of action
• What is the formula for the moment of a force?

  Moment = Force \times Distance</latex>
• If a force of 100 N is applied at a distance of 2 meters, the moment is 200 Nm.
• What is the first step in calculating the moment of a force?

  Identify the force and distance
• What is the first step to calculate the moment of a force?

  Identify force and distance
• The formula to calculate the moment of a force is Moment
• The unit for the moment of a force is Newton-meters (Nm).
• If a force of 100 N is applied at a distance of 2 meters from the pivot, what is the moment?

  200 Nm
• Steps to calculate the moment of a force

  1️⃣ Identify the force and distance

  2️⃣ Apply the formula

  3️⃣ Specify the unit
• The perpendicular distance is crucial in calculating the moment of a force because it measures the shortest distance from the pivot to the force's line of action.
• The perpendicular distance ensures we accurately reflect how effectively the force causes rotation
• What is the moment if a force of 50 N is applied at a 90-degree angle to a lever of 2 meters length?

  100 Nm
• If a force is angled, only the component perpendicular to the lever counts when calculating the moment.
• What is the mechanical advantage provided by levers?

  Reduces effort needed
• Gears transmit rotational motion and change the torque
• What is the relationship between the moments of input and output gears in terms of their radii?

  M_{1} / M_{2} = r_{1} / r_{2}</latex>