Marine & Nautical
Intermediate

Anchor Scope

Ratio of anchor rode paid out to water depth.

Formula

S=LdS = \frac{L}{d}

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Variables

SScope ratio
LRode length
dWater depth + freeboard

Example

70 m rode in 10 m depth: S = 7:1

How it works

Anchor scope compares how much rode is let out with the total vertical distance from the bow roller to the seabed. It matters because a longer line spreads the pulling force more horizontally, helping the anchor dig in instead of being lifted straight out. The formula works by using the actual suspension depth the rode must span, which is the water depth plus the boat’s freeboard above the waterline.

When to use it

Use this when deciding how much chain or rope to deploy for anchoring in a given depth. It is also useful when checking whether your current scope is adequate for weather, bottom type, or the type of anchor system you are using.

Worked example, step by step

Given: rode length L = 48 m Water depth = 6 m Freeboard = 2 m Total depth d = 6 + 2 = 8 m Use S = L / d S = 48 / 8 = 6 Final answer: scope = 6:1

Common mistakes to avoid

  • Using water depth alone and forgetting to add freeboard
  • Mixing up scope ratio with anchor chain length in metres
  • Writing the result as a simple number without stating it as a ratio

Did You Know?

A scope of at least 5:1 keeps the pull horizontal so the anchor digs in rather than dragging.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026