🔧 Rotational Mechanics & Lever Dynamics
Torque & Lever Arm Calculator
Compute rotational torque ($\tau$), applied force ($F$), or lever arm radius ($r$) across SI Newton-meters ($N\cdot m$), foot-pounds ($ft\cdot lb$), and inch-pounds.
Parameters
Degrees (°)
90° delivers maximum mechanical leverage (sin 90° = 1.0).
Calculated Torque ($\tau$)
60.00 N·m
Newton-Meters
60.00 N·m
Foot-Pounds
44.25 ft-lb
Inch-Pounds
531.0 in-lb
💡 Rotational Mechanics Formula:
$$\tau = r \times F \times \sin\theta = 0.40\text{ m} \times 150\text{ N} \times \sin(90^\circ) = 60\text{ N}\cdot\text{m}$$
Principles of Mechanical Leverage & Moments
Torque measures the rotational force turning an object around an axis or pivot point:
- Lever Length Multiplier: Doubling the wrench or lever length ($r$) cuts the required applied physical muscular force ($F$) in half for the same resulting torque.
- Angle Efficiency: Applying force perpendicular ($\theta = 90^\circ$) to the lever maximizes efficiency ($\sin 90^\circ = 1.0$), while pulling parallel ($\theta = 0^\circ$) yields zero rotational movement.