• Density is a measure of the amount of matter in a particular volume. • It depends on two things: • So, using these two things… and We can calculate the density of an object! Use this density triangle to figure out the proper equation. An object placed in a fluid experiences an upward force called BUOYANT FORCE [Bf]. Pressure acting at the sides are equal. Upward force is greater because of greater pressure = Fluid pressure increases with depth. Fluid Pressure Creates Buoyancy • The deeper you go in the water, the greater the fluid pressure. • Therefore, there is greater pressure on the bottom of an object. This causes the upward force on the object (buoyancy). Archimedes, a Greek Mathematician, studied the force of buoyancy. He came up with this PRINCIPLE: “The BUOYANT FORCE (Bf) acting on an object is equal to the WEIGHT of the fluid DISPLACED by the object.” Archimedes supposedly run out to the street naked! ILLUSTRATION The weight of fluid collected is equal to the Bf acting on the object submerged. • The WEIGHT of the water the man displaces is equal to the SIZE of the Bf acting on him. KINDS OF BUOYANCY Positive Buoyancy: Neutral Buoyancy: Negative Buoyancy: How do we know if something will sink or float? Does SINKING or FLOATING depend on the object’s weight? NO. It depends on the DENSITIES of the object and the fluid where it is placed. Floating: The Bottom Line • A substance will float in any liquid if it is less dense than the liquid itself!! • Test 1) Which of the solids will float in olive oil? • Answer: pine and lithium • Test 2) Which of the solids will sink in mercury? • Answer: osmium and gold • Test 3) Which liquids will float in water? • Answer: oil and ethanol Floating Applies to Gases Too! • Test 4) Which of these gases would float in air? • Answer: Helium and Hydrogen Density (g/mL) • • • • • Hydrogen 0.00009 Helium 0.00018 Air 0.00129 Oxygen 0.00143 Chlorine 0.00321