Question

what is the upthrust equation?

Answer 1

[AI-generated answer — Explain Bot]

The equation for upthrust, or buoyant force, can be derived using Archimedes' principle. Archimedes' principle states that when an object is partially or wholly immersed in a fluid, it experiences an upward force equal to the weight of the fluid it displaces. This principle can be expressed mathematically as follows:

Buoyant Force = Weight of the Fluid Displaced

To calculate the weight of the fluid displaced, we can use the equation:

Weight of the Fluid Displaced = Density of the Fluid × Volume of the Fluid Displaced × g

Where:
- Density of the Fluid refers to the density of the fluid in which the object is immersed.
- Volume of the Fluid Displaced refers to the volume of the fluid that is displaced by the object.
- g refers to the acceleration due to gravity (approximately 9.8 m/s^2 on Earth).

Therefore, the equation for upthrust, or buoyant force, can be written as:

Buoyant Force = Density of the Fluid × Volume of the Fluid Displaced × g

This equation allows you to calculate the upward force experienced by an object immersed in a fluid, which is necessary for determining if an object will float or sink.