Balanced Force Calculator:
Enter the values of effort force, EF(N), distance from the fulcrum to the effort force, D1(m) and distance from the fulcrum to the resistance force, D2(m) to determine the value of balanced force, BF(N).
Balanced Force Formula:
A balanced force occurs when two forces acting in opposite directions on an object are equal in size but act along parallel lines, creating a state of equilibrium where the object remains stationary or moves at a constant velocity.
Balanced force, BF(N) in Newtons is equated by dividing the product of effort force, EF(N) in Newtons and distance from the fulcrum to the effort force, D1(m) in metres by distance from the fulcrum to the resistance force, D2(m) in metres.
Balanced force, BF(N) = EF(N) * D1(m) / D2(m)
BF(N) = balanced force in Newtons, N.
EF(N) = effort force in Newtons, N.
D1(m) = distance from the fulcrum to the effort force in metres, m.
D2(m) = distance from the fulcrum to the resistance force in metres, m.
Balanced Force Calculation:
1.Imagine you have a lever where you apply an effort force of 50 Newtons at a distance D1of 2 metres from the fulcrum. The weight is located 0.5 metres away from the fulcrum on the other side, D2. Calculate the balanced force required to lift the weight.
Given: EF(N) = 50N, D1(m) = 2m, D2(m) = 0.5m.
Balanced force, BF(N) = EF(N) * D1(m) / D2(m)
BF(N) = 50 * 2 / 0.5
BF(N) = 200N.
2.If a balanced force of 120 Newtons is required to maintain equilibrium, with the distance from the fulcrum to the resistance force D2 being 2 metres, and the distance from the fulcrum to the effort force, D1 is 4 metres, find the effort force.
Given: BF(N) = 120N, D1(m) = 4m, D2(m) = 2m.
Balanced force, BF(N) = EF(N) * D1(m) / D2(m)
EF(N) = BF(N) * D2(m) / D1(m)
EF(N) = 120 * 2 / 4
EF(N) = 240 / 4
EF(N) = 60N.