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tresor4k

macalc

calculate_gear_ratio

Compute gear ratio and torque multiplication for mechanical engineering, cycling, or automotive. Input driver and driven gear teeth to get ratio and torque multiplier.

Instructions

Compute gear ratio and torque/speed multiplication. Use for mechanical engineering, cycling, automotive. Inputs: driver teeth, driven teeth. Returns ratio and torque multiplier. See list_bundles for related 'science' calculators.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
driving_teethYesDriving gear teeth
driven_teethYesDriven gear teeth

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultNoComputed result. Object whose fields depend on the tool (e.g. {tax, marginal_rate, brackets} for tax tools, {volume_l, gallons} for volume tools).
formulaNoHuman-readable formula or method used (e.g. "I=P·r·t", "Magnus formula").
sourceNoAuthoritative source for the rule or formula (e.g. "Article 197 CGI", "NF DTU 21").
reference_urlNoLink to a calcul2 page documenting the calculation in detail.
Behavior3/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

With no annotations, the description must disclose behavioral traits. It states 'Returns ratio and torque multiplier', which adds output information beyond the schema. However, it does not clarify side effects, permissions, or read-only nature, leaving some gaps.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness5/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is two sentences, front-loaded with the main verb, and contains no unnecessary words. Every sentence adds value, making it highly concise and well-structured.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness5/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

Given the tool's simplicity (2 parameters, output schema present), the description adequately covers what the tool does and returns. It is complete enough for an AI agent to select and invoke correctly.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters3/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema coverage is 100% and descriptions are provided. The description repeats 'driver teeth, driven teeth' without adding new meaning beyond the schema. Baseline score of 3 is appropriate as it does not enhance understanding.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose5/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description clearly states 'Compute gear ratio and torque/speed multiplication', which is a specific verb+resource. It also lists application domains (mechanical engineering, cycling, automotive), making the tool's purpose unambiguous.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines4/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

The description gives context by mentioning fields of use and directs users to 'See list_bundles for related science calculators'. It does not explicitly state when not to use the tool or alternatives, but the guidance is sufficient given the tool's specificity.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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