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

No annotations are provided, so the description carries the full disclosure burden and delivers essentially none of it — no statement about the underlying relationship (F = mv²/r), expected units (SI vs. otherwise), output format, or error behavior. The only inferable behavior is "this computes something," which is already implied by the name.

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

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

It is short and front-loaded, so there is no padding or structural problem, but the single sentence is pure redundancy of the title and no information is front-loaded because no information exists.

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

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

For a formula calculator with three named physical quantities and no output schema, the description should at minimum state the model and units. It states neither, so an agent must guess whether mass is kg or grams and whether the return is force in newtons.

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

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

Schema description coverage is 100%, so the baseline is 3; each of mass/radius/velocity has a schema description. However those descriptions are the generic "X to process" placeholders, and the tool description adds no unit conventions or sign/validity constraints to compensate, leaving the semantics thin.

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

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

"Centripetal Force: Centripetal force calculation" merely restates the tool name and title without adding a distinct verb+resource framing or any scope detail. It does tell the agent this is a physics calculation rather than, say, a force unit converter (x402-force-unit), but that differentiation comes from the name, not the description.

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

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

No when-to-use, when-not-to-use, or alternative guidance is given. With dense siblings like x402-force, x402-acceleration, x402-angular-velocity, and x402-gravitational-force, an agent gets no signal about which of these to pick for a given physics question.

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