Embedded Files
& Torricelli’s law
Scenario:
Scenario:
If you sit in a bathtub while it is draining, you may notice that the water level seems to drop quickly initially, but then slows down as the height of the water in the tub decreases. Although you could attribute this apparent observation to some kind of psychological time distortion because of being impatient and wanting the bathtub to empty, it could also be possible that there is a physics based explanation for this.
If you sit in a bathtub while it is draining, you may notice that the water level seems to drop quickly initially, but then slows down as the height of the water in the tub decreases. Although you could attribute this apparent observation to some kind of psychological time distortion because of being impatient and wanting the bathtub to empty, it could also be possible that there is a physics based explanation for this.
Calculate using Torricelli's theorem.
Calculate using Torricelli's theorem.
The student is able to use Bernoulli's equation and/or the relationship between force and pressure to make calculations related to a moving fluid.
The student is able to use Bernoulli's equation and/or the relationship between force and pressure to make calculations related to a moving fluid.
The student is able to use Bernoulli's equation and the continuity equation to make calculations related to a moving fluid.
The student is able to use Bernoulli's equation and the continuity equation to make calculations related to a moving fluid.
Torricelli’s theorem relates the speed of a fluid exiting an opening to the difference in height between the opening and the top surface of the fluid and can be derived from conservation of energy principles.
Torricelli’s theorem relates the speed of a fluid exiting an opening to the difference in height between the opening and the top surface of the fluid and can be derived from conservation of energy principles.
Torricelli's law
Torricelli's law
Torricelli's law, also known as Torricelli's theorem, is a theorem in fluid dynamics relating the speed of fluid flowing from an orifice to the height of fluid above the opening. The law states that the speed "v" of efflux of a fluid through a sharp-edged hole at the bottom of a tank filled to a depth "h" is the same as the speed that a body (in this case a drop of water) would acquire in falling freely from a height h
Torricelli's law, also known as Torricelli's theorem, is a theorem in fluid dynamics relating the speed of fluid flowing from an orifice to the height of fluid above the opening. The law states that the speed "v" of efflux of a fluid through a sharp-edged hole at the bottom of a tank filled to a depth "h" is the same as the speed that a body (in this case a drop of water) would acquire in falling freely from a height h
Lab: Volumetric flow rate & Torricelli’s law
Lab: Volumetric flow rate & Torricelli’s law
How is the volumetric flow rate of a fluid out of the bottom of a container affected by the height of a fluid above it?
How is the volumetric flow rate of a fluid out of the bottom of a container affected by the height of a fluid above it?
Lab: Exit velocity & Torricelli's law
Lab: Exit velocity & Torricelli's law
Claim:
Claim:
The speed v of flow of a fluid through a hole at the bottom of a tank filled to a depth h is the same as the speed at which a drop of water would acquire in falling freely from a height h.
The speed v of flow of a fluid through a hole at the bottom of a tank filled to a depth h is the same as the speed at which a drop of water would acquire in falling freely from a height h.
Virtual Laboratory/Activity (for those that missed the lab)
Virtual Laboratory/Activity (for those that missed the lab)
Use the attached video to complete the flow rate lab if you
Accompanying Simulation(s)
Accompanying Simulation(s)
Ball in a viscous fluid
Ball in a viscous fluid
How does the density of a viscous fluid affect the average velocity of an object in free-fall through it?
How does the density of a viscous fluid affect the average velocity of an object in free-fall through it?
How does the surface area of an object falling through a viscous fluid affect its average velocity during free-fall?
How does the surface area of an object falling through a viscous fluid affect its average velocity during free-fall?
Lab/activity 2: Flow Rate
Lab/activity 2: Flow Rate
(online virtual CER)
(online virtual CER)
Lab/activity: Flow Rate
In this lab you are trying to see how the radius of a faucet affects the flow rate of the fluid leaving the faucet. Once you have established a relationship, you will make a prediction based on this relationship.
http://www.thephysicsaviary.com/Physics/Programs/Labs/FlowRateWithPredictionLab/
Accompanying Simulation(s)
Accompanying Simulation(s)
http://www.thephysicsaviary.com/Physics/Programs/Labs/FlowRateWithPredictionLab/
Lab/activity 3: Flow Rate From Beverage Dispenser Lab
Lab/activity 3: Flow Rate From Beverage Dispenser Lab
In this lab you are trying to discover the factors that affect the flow rate from a beverage dispenser. Students will be able to control the height of the water in the dispenser, the gravitational field strength of the planet, the density of the fluid being dispensed, and the size of the spigot from which the fluid is being dispensed.
Accompanying Simulation(s)
Accompanying Simulation(s)
Lab/activity 3: Flow Rate Lab
Lab/activity 3: Flow Rate Lab
In this lab you are trying to discover the formula for the flow rate of a faucet based on the velocity of the water leaving the faucet and the radius of the faucet.
Accompanying Simulation(s)
Accompanying Simulation(s)
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