How can I calculate the buoyant force of a floating object?
Use Archimedes' principle, that states something of this nature: "The buoyant force acting on an object immersed in a fluid is equal to the weight of the fluid displaced"
Say, you take a cube of wood(for example) and place it in a bucket of water. Your cube is bound to sink, until, the upthrust force equals its weight.
Where does this upthrust come from?
As the cube sinks, it displaced some volume of water(if the bucket were full you would see water pouring out)
Archimedes simply stated that: So if you know the volume of the fluid that was displaced, then you can calculate the Upthrust on the cube. Note that the volume of the fluid displaced equals the volume of the object iff the object was totally immersed in the fluid.
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Buoyant force equals the weight of the fluid displaced by the object. Use the formula: ( F_b = \rho \cdot V \cdot g ), where ( \rho ) is fluid density, ( V ) is displaced volume, and ( g ) is gravitational acceleration.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- A container has a volume of #2 L# and holds #1 mol# of gas. If the container is expanded such that its new volume is #8 L#, how many moles of gas must be injected into the container to maintain a constant temperature and pressure?
- How is buoyant force related to pressure?
- The gas inside of a container exerts #6 Pa# of pressure and is at a temperature of #120 ^o C#. If the temperature of the gas changes to #180 ^oK# with no change in the container's volume, what is the new pressure of the gas?
- If #16 L# of a gas at room temperature exerts a pressure of #6 kPa# on its container, what pressure will the gas exert if the container's volume changes to #2 L#?
- If #12 L# of a gas at room temperature exerts a pressure of #9 kPa# on its container, what pressure will the gas exert if the container's volume changes to #3 L#?

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