The density of standard air is a function of temperature and may be approximated using the ideal gas law, according to P p= RT where p = density (kg/m³) P = standard atmospheric pressure (101.3 kPa) R= gas constant; its value for air is 286.9 J kg Kj T = air temperature in kelvin Create a table that shows the density of air as a function of temperature in the range of 0° C (273.15 к) to 50° C (323.15 К) in increments of 5 °C. Also, create a graph showing the value of density as a function of temperature.

In an experiment to determine the viscosity of some oil, a ball is dropped into the oil. The position of the ball is given by the formula y(t) = A + Bt +C e−Dt, where y is given in m, and t is the time in s. At t = 0, y(0) = 0.05 m, the y component of the velocity is zero and the y component of the acceleration is ay(0)= 0.02 m/s2. As t approaches infinity, the y component of the velocity approaches vy(∞) = 0.55 m/s. Hint: You will likely want to answer the questions in a different order than presented. I am trying to figure this qeustion out, I need to find out what each of the variables in the fromula are. So far I have only found out what B is because I just toook the limit of the velocity function as t approaches zero, which gave me 0.55m/s. I am just stuck on how I would go about solving for the other variables in the question.

Solve both parts.

The water in a tank is pressurized by air, and the pressure is measured by a multifluid manometer as shown in the figure. Determine the gage pressure of air in the tank if h1= 0.7 m, h2= 0.6 m, and h3= 0.8 m. Take the densities of water, oil, and mercury to be 1000 kg/m3, 850 kg/m3, and 13,600 kg/m³, respectively. Oil Air Water h Mercury The gage pressure of air in the tank is 49.8 kPa.