W2 PASS
W2 PASS
W2 PASS
W2 PASS
TODAY’S SESSION
Win of the week
KAHOOT
Multi choice quiz :)
SAQs with table groups!
WIN OF THY WEEK
KAHOOT time
1. Continuity Equation (Conservation of Mass)
A1 v1 = A2 v2
→ If the area A gets smaller, then the velocity v must increase (since the same volume of water must flow through per unit time). A⬇️V⬆️
2. Bernoulli’s Equation
→ If velocity increases, then pressure decreases (assuming height h stays the same)
V⬆️P⬇️
“Fast flow! But no time to push on the walls — pressure drops!”
In many fluid mechanics problems, you’ll often use both together — first use Continuiy to tfind a velocity, then plug it into Bernoulli’s equation to get pressure.
ANEURYSM
An aneurysm forms in a small horizontal blood vessel through which blood travels at 0.3m/s. The vessel originally has a diameter of 0.2mm but the aneurysm makes the diameter increase by 20%.
Find the pressure increase inside the aneurysm.
ANEURYSM
An aneurysm forms in a small horizontal blood vessel through which blood travels at 0.3m/s. The vessel originally has a diameter of 0.2mm but the aneurysm makes the diameter increase by 20%.
Find the pressure increase inside the aneurysm.
ANEURYSM solution
An aneurysm forms in a small blood vessel through which blood travels at 0.3m/s. The vessel originally has a diameter of 0.2mm but the aneurysm makes the diameter increase by 20%.
Find the pressure increase inside the aneurysm.
WATER PIPES
Water circulates throughout Travis’ house in a hot-water heating system. The water is pumped from the first floor at a speed of 0.5 m/s through a pipe at a pressure of 3 atm to the second floor 5m above at a rate of 1.2 m/s. Find the pressure in atm within the pipe on the second floor. Assume density of water is 1000 kg/m3.
WATER PIPES solution
Water circulates throughout Travis’ house in a hot-water heating system. The water is pumped from the first floor at a speed of 0.5 m/s through a pipe at a pressure of 3 atm to the second floor 5m above at a rate of 1.2 m/s. Find the pressure in atm within the pipe on the second floor. Assume density of water is 1000 kg/m3.
SAQ1- help NEZUKO
Nezuko is receiving a pain-relief injection after a huge demon battle. The medication is administered at a rate of 5 cm³ per minute through a 3 cm long needle with an internal diameter of 0.8 mm. The athlete’s blood pressure is 12 kPa, and the viscosity of the drug is 0.002 Pa·s.
calculate the minimum pressure that must be applied to the syringe for the medication to flow properly.
SAQ1- help NEZUKO
Nezuko is receiving a pain-relief injection after a huge demon battle. The medication is administered at a rate of 5 cm³ per minute through a 3 cm long needle with an internal diameter of 0.8 mm. The athlete’s blood pressure is 12 kPa, and the viscosity of the drug is 0.002 Pa·s.
Using Poiseuille’s Law, calculate the minimum pressure that must be applied to the syringe for the medication to flow properly.
= △P= 4.95 x10^18 Pa
=therefore if the athletes BP is 12x10^3 Pa
∴ the pressure in the syringe must be greater than 4.95 x10^18 + 12x10^3 Pa
=1.2 x 10^19 Pa
= 1.2 x 10^16 kPa