1. What is Buoyant Force Equation For Floating Object?

Definition: This equation calculates the buoyant force acting on a floating object, which equals the weight of the fluid displaced by the object.

Purpose: It helps in understanding and calculating the upward force exerted by a fluid that opposes the weight of an immersed object.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( F_b \) — Buoyant force (Newtons, N)
• \( m \) — Mass of the displaced fluid (kilograms, kg)
• \( g \) — Acceleration due to gravity (meters per second squared, m/s²)

Explanation: The buoyant force equals the weight of the fluid displaced by the object, calculated as mass times gravitational acceleration.

3. Importance of Buoyant Force Calculation

Details: Understanding buoyant force is crucial for designing ships, submarines, flotation devices, and understanding why objects float or sink.

4. Using the Calculator

Tips: Enter the mass of the displaced fluid in kg and gravitational acceleration (default 9.81 m/s² on Earth). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the standard value for gravity?
A: On Earth's surface, standard gravity is 9.80665 m/s², often rounded to 9.81 m/s².

Q2: How is this different from Archimedes' principle?
A: This is a specific application of Archimedes' principle for floating objects where buoyant force equals the object's weight.

Q3: What if the object isn't floating?
A: For fully submerged objects, you'd need to calculate the volume of displaced fluid and multiply by fluid density.

Q4: Does this work for all fluids?
A: Yes, the principle applies to any fluid (liquids and gases), though the mass of displaced fluid would vary by density.

Q5: How does object shape affect the calculation?
A: Shape affects how much fluid is displaced but the buoyant force depends only on the weight of that displaced fluid.