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Math, 11.11.2020 07:15, kateclaire The force-deflection relation of a steel helical spring used in an engine is found experimentally as f(x) = 200x+50x2 +10x3 where the force (f) and deflection (x) are measured in pounds and inches, respectively. If the spring undergoes a steady deflection of 0.5 in. during the operation of the engine, determine the equivalent linear spring constant of the spring at its steady deflection​.

Suppose we got the following data during a test of a 2- stroke engine in which gas is usedas a fuel:Diameter of the piston = 149 mmStroke length = 179 mmClearance volume = 0.88 literrpm of the engine = 302Indicated mean effective pressure = 6.0 barGas consumption = 6.0 m3/hCalorific value of the gas (fuel) = 16990 kJ/m3Make a clear sketch the geometry of this engine using the data and determine thefollowing:i. Indicated power developed by the engine in watt.ii. Air Standard Efficiencyiii. Indicated thermal efficiency of the engine.

The speed of sound traveling through the sea is a function of temperature, salinity, and pressure. It is modeled by the function C = 1449.2 + 4.67T -0.055T² +0.00029T³ + (1.34-0.01T) (S-35) + 0.016D where C is the speed of sound (in meters per second), T is the temperature (in degrees Celsius), S is the salinity (the concentration of salts in parts per thousand, which means grams of dissolved solids per 1000 grams of water), and D is the depth below the sea surface, in meters. Calculate the following (Check attached image d3) when T = 10 °C, S = 35 parts per thousand, and D = 100 m. Explain the physical meaning of these derivatives.

An engineer is to design a human powered submarine for a design competition. The overall length of the prototype submarine is 2.24 m and its engineer designers hope that it can travel fully submerged through water at 0.560 m/s. The water is freshwater (a lake) at 7-15°C (p=999.1 kg/m3 and u= 1.138 ×103 kg/m-st. The design team builds a one-eighth scale model to test in their university's wind tunnel. The air in the wind tunnel is at 25°C (p= 1.180 kg/m3 and u = 1.849 ×10-5 kg/m-s) and at one standard atmosphere pressure. At what air speed do they need to run the wind tunnel in order to achieve similarity?

Thermodynamics Answer the following problem with complete solutions. Write legibly   A balloon is filled with pure oxygen at 10 ℃. The balloon is released from the bottom of a water-filled testing pool and floats 30 m to the water surface (where the atmospheric pressure is standard). The volume of the balloon is 3,000 cm^3. The temperature is 25 ℃ at the surface of the water, and the water temperature at the bottom of the pool is 10 ℃. What is the volume of the balloon at the surface after it has come into thermal equilibrium with the surroundings

PROPAGATION OF ERROR You are tasked to supervise the design of 0.5MW wind turbine to be constructed in a Wind Farm in Pililla, Rizal. Suppose the design criteria are as follows: The air density as surveyed after 2 year period averaged at 1.225 kg / cubic meter. The sweeping diameter of the rotor blades is 125m, and the anemometer reading in the area amounts to 4.2m/s on a 2 year period of survey. if the diameter measurement is off by 0.1m and the anemometer reading is also fluctuating by 0.05m/s. In the design specifications given, if the actual measurement of power via the substation amounts to exactly 530kW and given that the windspeed is off by 0.05m/s, what could have been the error in the measurement of diameter? Your answer must be in 3 decimal places and in correct signs and measurement.  Show complete solution in paper.

The same engineer decides to look into rates of cooling for liquids toexperiment with different cooling solutions for servers. She finds thatthe rate of cooling for one liquid can be modelled by the equation:y = 48 × 0.99t(0 ≤ t ≤ 80)where y is the temperature of the liquid in degrees Celsius and t is thetime in minutes.(i) State whether the type of reduction for this model is linear orexponential. Describe how reduction rate differs between linear andexponential functions. (ii) Calculate the temperature when t = 20. [3](iii) Write down the scale factor and use this to find the percentagedecrease in the temperature per minute. (iv) Use the method shown in Subsection 5.2 of Unit 13 to find the timeat which the temperature is 30◦(v) Determine the halving time of the temperature.

What would be the weight of one 3-kg mass on planet where the acceleration due to gravity is 10 m/s2? Select the correct response 3 kN 29.43 N 30N 13 KN An open tank contains 5.7 m of water covered with 2.8 m of kerosene. Find the pressure at the interface of the two liquids. Specific weight of kerosene is 8.0 kN/m^3. Select the correct response 22.400 55.917 44.000 33.240

Develop MATLAB code to simulate performance of air cycle machine with fixed turbine outlet temperature of T= 800K. Cp of air = 1.005  mdot= 30 g/s < x < 45 g/s

the following data is obtained for the velocity of a vehicle during a crash test: t(ms)      v(mph) 0             30 10          29.5 20         28 30         23 40          10 50           5 60           2 70           0.5 80           0 if the vehicle's weight is 2,400 lb, approximate the force f in lb acting on the vehicle 40ms after the crash. the force can be calculated by  F=m(dv/dt) , and the mass of the car m is 2400/32.2 slug. note that 1 ms=10^-3 s and 1 mile = 5,280 ft. convert t to secons and mph to fps. use 1st order forward, backward, and centered difference and apply Richardson's approximation. use h1=0.02 and h2-0.01s.Show detailed solution. Thanks!

From an open water surface with air temperature 22°C, relative humidity is 40% and wind speed is 3 m/s, all measured at height 2 m above the water surface. Assume a roughness height of 0.03 cm. The net radiation is 200 W/m^2. Cp=1005 J/kg-K *Kelvin = Degree Celsius + 273.2 , use this in computing for the density of air A. Calculate the evaporation using Priestley-Taylor Method (mm/day) B. Calculate the air density (kg/cu.m.)

The data below is from a passenger hot air balloon. The balloon is designed to lift 10-people (80 kg each person). The balloon consists of a basket, a burner- propane tank system. It will lift up when the cold air trapped inside warms up by the burner. Density of air inside the balloon is 99°C: 0.9486 kg/m³, density of air outside balloon is 20°C (ambient): 1.2041 kg/m³, Assume the balloon is a sphere shape, volume =(4/3)pi R3 Mass (kg) Balloon Basket Burner Propane tank   113.4 kg 63.5 kg 22.7 kg 183.7 kg    a) Determine the minimum diameter of the balloon that would have a total lifting force to balance the weight of balloon, basket, burner, propane tank and 10 people? b) If the balloon is converted to survey the weather, it will be filled with hydrogen gas (H2). Assume the weight of the people (800kg) is now replaced by onboard equipment,  what is minimum diameter needed to keep it afloat at 18km above the surface of the earth?

An aluminum plate measuring 15 cm long, 10 cm wide and 1 cm thick was cooled in air. At the time of cooling, the ambient temperature was equal to 23 °C. Experimental data were measured and are shown in Table 1. Calculate the Heat exchanged by the body in J. Consider in the answer one decimal place after the comma. Table 1 - Experimental data t(s) T (oC) 0 63 146 58 375 52 475 50 625 47 730 45 917 42 1056 40 1224 38 1391 36 1613 34 1895 32   Aluminum data: density = 2702 kg/m3; Cp = 903 J/kg K and k = 237 W/m K

What mathematical relationship exists between the wave speed and the density of the medium, using the POWER trendline equation from the graph? Make your response specific (i.e., describe the full mathematical proportionality between the two variables) Feel free to use the table. Table:  Frequency (Hz) Density (kg/m) Tension (N) Speed (cm/s) Wavelength (cm) 0.85 0.1 4.0 632.5 744.12 0.85 0.7 4.0 239.0 281.18 0.85 1.3 4.0 175.4 206.35 0.85 1.9 4.0 145.1 170.70

Given: Mass = M, Radius = R, Moment of Inertia = I, Distance =  H, Gravity = g, Initial timing = 0 Unknown =  How long will the [delta t] process take? (time) Please keep in mind that almost every variable is unknown! We are given no numbers and are instructed to generate a solution using the variables [ "R, M, g, I and H." ]  Target =  Find an equation that, if we could substitute numbers, would determine how long the process would take.  Newton's second law and torque seem to be relevant based on how the problem is written. * Also please show drawing based on what we are calculating

Submit a MATLAB code (.m, word or pdf file) that finds the profile of temperature for a copper rod with the following information after 60 seconds.   Length: 50 cm Initial temperature: 25 C Left boundary condition: constant temperature 60 C. Right boundary condition: insulated.

The following data are given for a biogas digester suitable for the output of six cows. The volume of digester is 8.3 m3 , the volume of gas holder is 2.2 m3 and the retention time is 22 days. Find the height of gas holder in centimeter.

A diver 50 m deep in 8°C fresh water exhales a 1.2 cm diameter bubble which rises to the surface of the water and has a diameter of 2.2 cm when it reaches the surface of the water. Assume the air bubble rises slow enough that it is always in thermal equilibrium with the surrounding water. Include units in all your numerical responses 1. Determine the pressure of the air inside the bubbles

Hi any help with thsi question would be great as im struggling a bit - the final answer should be a) 2.413 MN in the negative x-direction and b)6.97MN Any notes on the method next to calcs would be much appreciated. Thankyou! a)Find the net resultant horizontal force on the wall if it is 10m long (into page), the density of seawater p= 1025 kg/m3, acceleration due to gravity = 9.81m/s2 h1=4m and h2=8m b) find the net resultant vertical force when the density of the wall p=2400kg/m3. The wall is 10m long (into the page), g=9.81 h1=8m and h2=8m

a) Assuming the effluent from the pulp and paper plant has a daily discharge of 15 m3/s, calculate the daily loading values for TSS and BOD5. (Remember: Loading (kg/day) = Q (m3/s) x concentration (mg/L)) **don’t forget your unit conversions and show your work if you can Assume a BOD5 concentration of 10 mg/L, and a TSS of 20 mg/L.

EARTHQUAKE ENGINEERING: REFERENCE BOOK: SEISMIC DESIGN BY BESAVILLA USE NSCP 2015 IN SOLVING THE PROBLEM BELOW.

The data listed below is from a passenger hot air balloon. The balloon is designed to lift 10-people (80 kg each person). The balloon consists of a basket, a burner- propane tank system. It will lift up when the cold air trapped inside warms up by the burner. Density of air inside the balloon is 99°C: 0.9486 kg/m³, density of air outside balloon is 20°C (ambient): 1.2041 kg/m³ Mass (kg) Balloon Basket Burner Propane tank   113.4 kg 63.5 kg 22.7 kg 183.7 kg      Assume the balloon is a sphere shape, volume =(4/3)pi R3. a. Determine the minimum diameter of the balloon that would have a total lifting force to balance the weight of balloon, basket, burner, propane tank and 10 people? b. If the balloon is converted to survey the weather, it will be filled with hydrogen gas (H2). Assume the weight of the people (800kg) is now replaced by onboard equipment,  what is minimum diameter needed to keep it afloat at 18km above the surface of the earth?

Heat Transfer (Multiple Choice) 1.) The quantity which determines the direction of heat flow. a.)Heat Flux b.)Temperature Difference c.)Velocity of flow d.)Prandtl Number  2.) Forced Convection formulas hold true only for values of  a.) Re < 4000 b.)Diam. D>6m c.) Pr>1 d.)Nu<4000 3.) The analogy between Ohms Law and Fouriers Law is that voltage corresponds to  a.)Conduction b.)Heat Rate c.)Temperature Difference d.)Heat Flux  4.)An expression for resistance in parallel is  a.)R=1/Ra+1/Rb+1/Rc b.)R=RbRc+RaRc+RaRb/Ra+Rb+Rc c.)R=Ra+Rb+Rc/RbRc+RaRc+RaRb d.)R=RaRbRc/RbRc+RaRc+RaRb

mathlab code: %Press-Fit Example Problem 117 %Steel, psi ES=30*10^6 MuS=0.292; %Cast Iron EC=14.5*10^6; MuC=0.211; di=0; d0=2.002; Di=2.000; D0=3.000; % tolerance tol=d0-D0; % Pressure Eq. (3-56) R=Di/2; r0=D0/2; ri=di/2; Hub=(1/ES)*((r0^2+R^2)/(r0^2-R^2)+MuS);     Inner=(1/EC)*((R^2+ri^2)/(R^2-ri^2)-MuC);    p=tol/(R*(Hub+Inner))

The pressure drop per unit length in horizontal pipe flow,∆ p/L , depends on the fluid density ρ , viscosity μ , diameterD , and volume flow rate Q . Rewrite this function in termsof pi groups.