Moment equals force times perpendicular distance

Solution

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How It Works

A moment (M = F · d) measures the turning effect of a force about a pivot point. The larger the force or the longer the lever arm (perpendicular distance), the greater the moment. This principle explains why a longer wrench makes it easier to loosen a bolt.

Example Problem

A 40 N force is applied at the end of a 0.25 m wrench. What moment does it produce?

  1. M = 40 × 0.25 = 10 N·m

That 10 N·m of torque is what you would read on a torque wrench.

Frequently Asked Questions

What is the difference between moment and torque?

In physics they are the same concept (force times perpendicular distance). Engineers sometimes use “torque” for rotation about an axis and “moment” for bending effects, but the formula M = F·d applies to both.

How do you increase the moment without increasing force?

Increase the lever arm (distance). Using a longer wrench or moving the force application point farther from the pivot achieves a greater moment with the same force.

What units are used for moment?

The SI unit is the newton-meter (N·m). In imperial systems, foot-pounds (ft·lbf) or inch-pounds are common, especially in automotive and construction contexts.

Related Calculators

Reference: Lindeburg, Michael R. 1992. Engineer In Training Reference Manual. Professional Publication, Inc. 8th Edition.