💡 Torque (Moment of Force)
τ = rF sin θ — Torque is the rotational equivalent of force. It depends on the force magnitude, the distance from the pivot point, and the angle at which the force is applied.
Torque Calculator
Configure lever arm and force
Solve for:
📏Lever Arm Distance (r)
💪Applied Force (F)
📐Angle (θ)
90°
Torque
30.00 N·m
Lever Arm
0.30 m
Effective Force
100.0 N
sin(θ)
1.000
📚 Try These Examples
Wrench Bolt
25cm, 150N @ 90°
Door Handle
80cm, 20N @ 90°
Lug Nut
45cm, 220N @ 90°
Hammer Pull
30cm, 50N @ 60°
🔧 Lever Arm Visualization
r = 0.30 m
F = 100 N
τ = 30 N·m
📝 Torque Formulas
τ = rF sin θ
Torque
τ = r × F
Cross Product
τ_net = Iα
Rotational Newton's 2nd
W = τθ
Rotational Work
🧮Step-by-Step Solution▼ Show
Understanding Torque
Torque is the measure of the force that causes an object to rotate. Just as force causes linear acceleration, torque causes angular acceleration.
Key Factors
- Force Magnitude: Greater force = greater torque
- Lever Arm: Greater distance from pivot = greater torque
- Angle: 90° gives maximum torque (sin 90° = 1)
Real-World Applications
- Wrenches: Longer handle = easier to turn bolts
- Door hinges: Handle placed far from hinge for leverage
- Engines: Torque determines pulling/acceleration power
- Seesaws: Balance achieved when torques are equal