Area of circle: A = Tr? Rate of flow Q = Av T = F(sin0)r T = Fl, where1= lever arm Bernoulli's equation: 1 v² + pgy, = P, + pv,´ + pgy, 1 P+ Equilibrium: Te = Tx - 273.15°C Στ-0 T, =?T. +32 9 Non-equilibrium: T. = 5 --32) Στ= Ια Тетрerature: Moment of inertial for a point mass revolving about a center at a distance r: AL = aL‚AT AA = y A,AT = 2a AV = BV,AT ß = 3a I= Mr? Kinetic Energy: Specific Heat: Translational: ½ mv? (J/kg. °C) Rotational: ½ Io² mAT Q = mc(T, –T,) Angular speed o =v/r Qcold =-Qhot Tensile strain: EQ = 0 Latent Heat: F Lo Y-Young's modulus AL = Y A phase change: Q =±mL Energy Transfer: ΔΤ P = Δι Density: Ax M p = V (kg/m²) Thermal conductivity: P = kA -T) L Pressure: F P = A (Ра) Hooke's Law: P = P, + pgh F =-kx Acceleration in simple harmonic motion: Archimedes' principle: k a = - B = P fuid fuid8 m Elastic potential energy: PE, = * 2 Equation of flow continuity: Av, = A,v,

23. The figure shows a pipe full of water, where vi-3.00 m/s, h₁-3 m, P₁ is the gauge pressure of 5.00 x 10 Pa at the same location. Calculate the gauge pressure of the pipe's higher (3) section if A-2A and P2-3.25 x 104 Par AL h₁ Figure 14 P₁ A ha [Dm]

Exercise 2: Ventilation Requirements. In order to calculate the quantity of ventilation air needed for habitation, we need considering: V The CO, production P m3/s, and for this example, of a sedentary adult. V The concentration Cs% of CO,% in outdoor air, and V The maximum threshold CO, concentration Cr% for the occupied space. Normally, P = 4.7x10-6 m³/s per person, Cs =0.03% and Cr =0.5%. %3D If the flow rate, Q m³/s is the rate of fresh air flowing through a room to provide acceptable conditions, a CO, balance can be made.

Assume that a raindrop has a volume of 0.05 cm^3 and you need an Avogadro's number of raindrops to fill up the cubic water tank. What is the length of the edge of the tank?