The 60-W fan of a central heating system is to circulate air through the ducts. The analysis of the flow shows that the fan needs to raise the pressure of air by 50 Pa to maintain flow. The fan is located in a horizontal flow section whose diameter is 30 cm at both the inlet and the outlet. Determine the highest possible average flow velocity in the duct.

Classify the following carbohydrates as monosaccharides, disaccharides, or polysaccharides. A. starch B. glucose C. sucrose D. ribose E. cellulose F. glycogen G. fructose H. lactose

Blood pressure is usually measured by wrapping a closed air-filled jacket equipped with a pressure gage around the upper arm of a person at the level of the heart. Using a mercury manometer and a stethoscope, the systolic pressure (the maximum pressure when the heart is pumping) and the diastolic pressure (the minimum pressure when the heart is resting) are measured in mmHg. The systolic and diastolic pressures of a healthy person are about 120 mmHg and 80 mmHg, respectively, and are indicated as 120/80. Express both of these gage pressures in kPa, psi, and meter water column.

Use a graphing utility to graph the polar equation. Find an interval for $\theta$ for which the graph is traced only once. $r=2 \cos \frac{3 \theta}{2}$

Generate ordered pairs for each function for x=-2, -1, 0, 1, and 2. Graph the ordered pairs and describe the pattern.

$$y=x^2+(-2)$$

Verify the following identities. $\sinh \left( \cosh ^ { - 1 } x \right) = \sqrt { x ^ { 2 } - 1 }$, for $x \geq 1$

The variation of pressure with density in a thick gas layer is given by $P=C ho^{n}$ where C and n are constants. Noting that the pressure change across a differential fluid layer of thickness dz in the vertical z–direction is given as $dP= ‒ ho g dz$, obtain a relation for pressure as a function of elevation z. Take the pressure and density at z = 0 to be $P_0$ and $ho_0$, respectively.

Electric power is to be generated by installing a hydraulic turbine-generator at a site 120 m below the free surface of a large water reservoir that can supply water at a rate of 1500 kg / s steadily. Determine the power generation potential.

Blood pressure is usually measured by wrapping a closed air-filled jacket equipped with a pressure gage around the upper arm of a person at the level of the heart. Using a mercury manometer and a stethoscope, the systolic pressure (the maximum pressure when the heart is pumping) and the diastolic pressure (the minimum pressure when the heart is resting) are measured in mmHg. The systolic and diastolic pressures of a healthy person are about 120 mmHg and 80 mmHg, respectively, and are indicated as 120/80. Express both of these gage pressures in kPa, psi, and meter water column.

The driving force for fluid flow is the pressure difference, and a pump operates by raising the pressure of a fluid (by converting the mechanical shaft work to flow energy). A gasoline pump is measured to consume 3.8 kW of electric power when operating. If the pressure differential between the outlet and inlet of the pump is measured to be 7 kPa and the changes in velocity and elevation are negligible, determine the maximum possible volume flow rate of gasoline.

The driving force for fluid flow is the pressure difference, and a pump operates by raising the pressure of a fluid (by converting the mechanical shaft work to flow energy). A gasoline pump is measured to consume $5.2 \mathrm{~kW}$ of electric power when operating. If the pressure differential between the outlet and inlet of the pump is measured to be $5 \mathrm{~kPa}$ and the changes in velocity and elevation are negligible, Find the maximum possible volume flow rate of gasoline.

A person gets into an elevator at the lobby level of a hotel together with his 30-kg suitcase, and gets out at the 10th floor 35 m above. Determine the amount of energy consumed by the motor of the elevator that is now stored in the suitcase.

Solve each system of inequalities by graphing.

$$\left\{\begin{array}{l}{2 x+6 y>12} \\ {3 x+9 y \leq 27}\end{array}\right.$$

A pressure cooker cooks a lot faster than an ordinary pan by maintaining a higher pressure and temperature inside. The lid of a pressure cooker is well sealed, and steam can escape only through an opening in the middle of the lid. A separate metal piece, the petcock, sits on top of this opening and prevents steam from escaping until the pressure force overcomes the weight of the petcock. The periodic escape of the steam in this manner prevents any potentially dangerous pressure buildup and keeps the pressure inside at a constant value. Determine the mass of the petcock of a pressure cooker whose operation pressure is 100 kPa gage and has an opening cross-sectional area of 4 mm $^2$. Assume an atmospheric pressure of 101 kPa, and draw the free-body diagram of the petcock.