Case Study3 REF

Fluid Mechanics

Mechanical engineering aircon topic. Please help to solve the problem asap. Will upvote for your answer

2. Some equations for power that occur frequently in mechanical engineering are Pow = Fv and Pow = Tw Also, recall that 1 Hp = 550ft. Here are some elementary problems to help you improve your facility with units. (a) A model airplane flies at 45 mi/hr in level flight against a drag force of 2.5 lbf. How much power is required to maintain the plane in flight? Express your answer in Hp. (b) A power screw requires a torque of 5 N m to turn at 300 rpm. How much power is required? Express your answer in the appropriate SI derived unit. (c) A generator spins at 3600 rpm. Convert that rotational speed to units of rad/s. (d) A generator spins at 3600 rpm. Convert that rotational speed to units of rev/s. (e) A generator spins at 3600 rpm with a torque of 200 N m. In SI units what is the power? (f) An automobile engine produces 94 kW at 6300 rpm. In SI units, what is the torque? (g) An automobile engine produces 221 lb ft of torque at 1800 rpm. In Hp, how much power does this engine produce?

We consider a bar rotating, with friction due to viscosity, around a point where a torque is applied. The non-linear dynamic equation of the system is given by ml²ö = -mgl sin 0 – kl²ė + C where 8 - is the angle between the bar and the vertical axis; C- is the torque (C>0); k – is a viscous friction constant; l- is the length of the bar; m – is the mass of the bar; a) Choose appropriate state variables and write down the state equations; b) Find all equilibria of the system, assuming that < 1; c) Linearize the system around equilibrium points and determine the eigenvalues for each equlibria; mgl

Cakulate the time rate of change of air density during expiration Assume that the lung (Fig. 3.11) has a total volume of 6000 ml, the diameter of the trachea is 18 mm, the airflow velocity out of the trachea is 20 cm/s, and the density of air is 1.225 kg/m. Also assume that lung volume is decreasing at a rate of 100 mL/s. Hello sir, I want the same solution, but in a detailed way and mention his data, a question, and a solution in detailing mathematics without words. Solution We will start from Eq. (3.24) because we are asked for the time rate of change of density. We are asked to find the time rate of change of air density; this suggests that Example 3.5 condis tions are representing a nonsteady flow scenario. In addition, we were told what the rate of change in the lung volume is during this procedure, further supporting the use of Eq. (3.24). pdV+ (3.24 ams Assume that at the instant in time that we are measuring the system, density is uniform within the volume of interest. This…

Thermodynamics: Please show me how to solve the following practice problems in step by step solution (Thank you so much!)

Find viscosity of Plasma @ 37oC

What should be the surface tension of a liquid if its density, which is 1.44 g/cc, is the same as that of the calibrating liquid? The displacements of the liquid and the calibrating liquid inside the capillary tube are both 0.5 cm. The surface tension of the calibrating liquid is 29.4509 dynes/cm.

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26. A horizontal pipe of 150 mm diameter and 200 m length conveys water from a reservoir to a nozzle 50 mm in diameter. What would be the power of the jet if the level of water in the reservoir is 15 m above the axis of the pipe? Take friction co-efficient = 0.01. Neglect losses in the nozzle. [Ans. 2.31 kW]

Answer number 10

In the following section, at least 2 to up to 5 answers may be correct.     1) For a fluid, the assumption (simplifying notion) of incompressibility has important consequences:    Pascal’s principle: a change of pressure in an enclosed fluid at rest is transmitted undiminished to all points in the fluid.    pressure changes are transmitted immediately from one place to another.   the speed of sound then is infinite (just within this approximation).    pressure becomes unpredictable.    none of the above.   2) Archimedes’ principle can be summarized as:    an immersed object is buoyed up by a force equal to the weight of the fluid it displaces.     a bathtub is fun, and may lead to important physical discoveries regarding the volume of an object and how much water it displaces, and the weight of that amount of water.    boats swim because of the work done by sailors.    submarines are always doomed.    fish swim because they are less heavy than water   3) A…

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THERMODYNAMICS TOPIC: FIRST LAW OF THERMO/THERMODYNAMIC SYSTEM   PLEASE ANSWER COMPLETELY THE QUESTION IN HANDWRITING AND SUPPORT YOUR SOLUTION WITH DIAGRAMS.   THANK YOU

1 The following observations are recorded during a test on a four-stroke petro engine, F.C = 25cc of fuel in 10 sec, speed of the engine is 2600 rpm, B.P = 22 kW, Qair 0.00134 m, piston diameter 90 mm, density of the fuel = 0.85gm/cc , compression ratio = 7.5, CV of fuel = 42000KJ/Kg, room temperature = 24 °C %3D = 140mm, stroke length = %3D %3D %3D 2 A six-cylinder 4-stroke cycle petrol engine is to be designed to develop 250 kW of (b.p) at 2200 rpm the stroke / bore ratio is to be 1.3:1. Assuming nm =80% and an indicated mean effective pressure of 9.5 bar, determine the required bore and stroke. If the compression ratio of the engine is to be 7.5 to 1, determine consumption of petrol in kg/h and in kg/bp.hr. Take the ratio of the indicated thermal efficiency of the engine to that of the constant volume air standard cycle as 0.65 and the calorific value of the petrol as; 44770KJ/kg.

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In mechanical fluid

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23. The surface tension of water in contact with air is given as 0.0725 N/m. The pressure outside the droplet of 20. Determine the bulk modulus of elasticity of a fluid which is compressed in a cylinder from a volume a 0.009 m at 70 Ncn pressure to a volume of 0.0085 m' at 270 N/cm pressure. [Ans. 3.6 x 10° N/em1 21. The surface tension of water in contact with air at 20°C is given as 0.0716 N/m. The pressure inside droplet of water is to be 0.0147 N/cm greater than the outside pressure, calculate the diameter of droplet of water. 22. Find the surface tension in a soap bubble of 30 mm diameter when the inside pressure is 1.962 N/m* above [Ans. 1.94 mm) atmosphere. (Ans. 0.00735 Nm] water of diameter 0.02 mm is atmospheric 10.32 . Calculate the pressure within the droplet of cm water. [Ans. 11.77 N/em']

A person is 1.65 m tall. a. Calculate the difference in blood pressure between the feet and top of the head of this person. To make sense of your answer, convert your answer to the unit of atm (101325 Pa = 1 atm). The density of blood is Pblood = 1.06 × 10³ kg/m³. b. Consider a cylindrical segment of a blood vessel 2.00 cm long and 1.50 mm in diameter. What additional outward force would such a vessel need to withstand in the person's feet compared to a similar vessel in her head? c. Justify how you solved for the area of the blood vessel.

Musical Instruments: A man wants to learn to play guitar. He finds a model he likes for $559. He places a finger on a string so that 0.52 m of the string is free to vibrate, but clamped at both ends. He does not know it, but the speed of waves in the string is 235 m/s. (a) When he plucks the string, what pitch (frequency) will it produce? (b) The man really likes the guitar- and the note he played. He still has $13.96 after his purchase, so he buys some wood to build a resonant cavity to amplify this sound: a wooden box open at one end. How long should he make the box? Assume the speed of sound in air is 340 m/s.

A U-tube manometer indicates a pressure drop of 10 in. water across in an air filter. The air is at 26 C and a pressure of 60 lbf/in2  : (a) What is the pressure drop in lbf/in2 and in atm? (b) What percentage of error is introduced if the density of the air in the manometer leads is neglected. (Air density = 1.168 kg/m3 ) (g =32.17 ft/s2)