Archimedes Buoyancy Lab - Physics Simulations

t = 0.00s

Gravity (F_g) Buoyant Force (F_b)

Live Telemetry & Summary

Observe the live buoyant forces and displacement. Sinking occurs when F_g > max F_b.

State:floating

Block Mass:1800 kg

Displaced Volume:1.80 m³ (60%)

Downward Gravity:17640.0 N

Upward Buoyancy:17640.0 N

Variable Adjuster

Block Volume (V)3m³

Block Density (ρ_b)600kg/m³

2002000

Fluid Density (ρ_f)1000kg/m³

6001500

Archimedes' Buoyancy Lab

BUOY

Archimedes' Principle states that any body completely or partially submerged in a fluid experiences an upward buoyant force equal to the weight of the fluid it displaces. If the block density is less than the fluid density, it floats with a submerged fraction balancing gravity. If it is denser, it sinks.

F_b = \rho_{fluid} V_{submerged} g, \quad F_g = \rho_{block} V g

Whiteboard Solver Steps

Step 1

Gravity Force of Block

Gravity pulls the mass of the block downward. The mass is the volume of the block multiplied by its density.

F_g = m \cdot g = (\rho_{block} \cdot V) \cdot g = (600 \cdot 3) \cdot 9.8 = 17640.0 \text{ N}

Step 2

Archimedes' Principle (Buoyancy Force)

The upward buoyant force equals the weight of the fluid displaced by the submerged portion of the block ( $V_{sub}$ = 1.800 m³).

F_b = \rho_{fluid} \cdot V_{sub} \cdot g = 1000 \cdot 1.800 \cdot 9.8 = 17640.0 \text{ N}

Step 3

Net Force & Acceleration Analysis

The block floats because its density is less than the fluid. Upward buoyant force balances downward gravitational pull perfectly.

F_{net} = F_g - F_b = 0.0 \text{ N}, \quad a = \frac{F_{net}}{m} = 0.00 \text{ m/s}^2

RV Anveshana