1. What is a Prismatic Coefficient?

Definition: The prismatic coefficient (C_p) is a dimensionless value that describes the fullness of a ship's hull form.

Purpose: It helps naval architects evaluate the hull's efficiency in terms of resistance and powering requirements.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( C_p \) — Prismatic coefficient (dimensionless)
• \( V \) — Displaced volume (m³)
• \( A_m \) — Midship section area (m²)
• \( L \) — Length (m)

Explanation: The displaced volume is divided by the product of the midship area and length to determine how full the hull is.

3. Importance of Prismatic Coefficient

Details: Lower values indicate finer hull forms (better for speed), while higher values indicate fuller hull forms (better for cargo capacity).

4. Using the Calculator

Tips: Enter the displaced volume in cubic meters, midship section area in square meters, and length in meters. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical prismatic coefficient range?
A: For most ships, C_p ranges between 0.55 (fast vessels) to 0.85 (full-bodied tankers).

Q2: How does prismatic coefficient affect performance?
A: Lower C_p generally means less wave-making resistance at high speeds, while higher C_p provides more cargo capacity.

Q3: What's the relationship with block coefficient?
A: C_p = C_b/C_m, where C_b is block coefficient and C_m is midship section coefficient.

Q4: When would I need this calculation?
A: During ship design, performance analysis, or when comparing different hull forms.

Q5: How precise should my measurements be?
A: For accurate results, measurements should be precise to at least 3 decimal places.