Mechanics
Torque
Torque causes angular acceleration. τ = r × F.
Variables
τN·m
Torque
Rotational force
rm
Lever arm
Distance from pivot
FN
Force
Applied force
θ°
Angle
Angle between r and F
Derivation
Cross product magnitude: |τ| = rF sin θ.
Your notes
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Common questions
What is the Torque formula?
Torque is written τ= rFsinθ. Torque causes angular acceleration. τ = r × F. It belongs to Mechanics, under Rotational Motion.
What are the units in τ= rFsinθ?
In SI units, τ is torque, measured in kg·m²/s²; r is lever arm, measured in m; F is force, measured in kg·m/s²; θ is angle, measured in rad.
How is the Torque formula derived?
Cross product magnitude: |τ| = rF sin θ. The result is τ= rFsinθ.