Force Calculator

Force, Momentum & Hydraulic Dynamics Calculator

Calculate Newton’s second law forces, centripetal acceleration, friction, and hydraulic piston mechanical advantage

Kinematic Calculation Mode

Force Display Unit

Body Mass (m)

Acceleration (a)

Surface Friction & Normal Resistance

Friction Coefficient (μ)

Custom μ

Surface Incline Angle (θ°) 0° = Flat horizontal surface

Net Accelerating Force (F_net = m · a)

5,400.0 N

5.40 kN • 1,213.97 lbf (0.459 g acceleration)

Gravitational Weight (W = mg) 11,768.0 N 2,645.6 lbf downward force

Friction Opposing Force (f = μN) 8,237.6 N Normal Force (N): 11,768.0 N

Total Applied Pull Required 13,637.6 N F_net + friction + incline gravity

Impulse / Momentum Delta (J) 5,400.0 N·s kg·m/s momentum transferred

Rotating Mass (m)

Radius of Curvature (r)

Motion Specification

Tangential Speed (v)

Angular Velocity (ω in rad/s)

Rotational Speed (RPM)

Centripetal Inward Force (F_c = m · v² / r)

9,142.2 N

9.14 kN • 2,055.25 lbf

Lateral Centripetal Acceleration 10.76 m/s² 1.10 g-force (Cornering load)

Rotational Angular Velocity (ω) 0.489 rad/s 4.67 RPM

Revolution Period (T) 12.85 s Time per full 360° circuit

Tire Friction Demand to Corner μ ≥ 1.10 High grip required

Hydraulic Calculation Basis

Input Piston 1 (Effort)

Applied Input Force (F₁)

Piston 1 Diameter (d₁)

Output Piston 2 (Load Ram)

Piston 2 Diameter (d₂)

Input Stroke Distance (s₁ in mm)

Delivered Output Hydraulic Force (F₂)

9,000.0 N (9.00 kN)

2,023.3 lbf • 0.918 Metric Tonnes-force

Mechanical Advantage (Ideal) 36.00× Force Ratio Area ratio (A₂ ÷ A₁)

Confined Fluid Pressure 7.96 bar 115.4 psi (0.796 MPa)

Ram Piston Surface Area 113.10 cm² 17.53 sq inches bore

Output Piston Stroke (s₂) 1.39 mm Conservation of fluid volume