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- 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.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.Two endlessly long flat plates, separated by 3 inches in distance but with a thickness of 5 inches, each transport alcohol (5 m/s, 1 Pa·s, S.G. 0.89 (ref. water at 4 degrees Celsius) to a given location with a specific velocity. Prove that the Reynold's number of the following problem is a value approximately around 90-100.
- Applying principles of dynamics, with step by step solutions pls (i give 5 stars) A usual football tryout involves a player running a 40-yard dash. If a particular player finishes the dash in 4.25 seconds while reaching his maximum speed at the first 16 yard mark with a constant acceleration and then maintains that speed for the remainder of the run, determine this person’s acceleration over the first 16 yard, his maximum speed and how long he accelerated. SET YOUR OWN VARIABLES AS YOU SEE FIT.A special case of a linear function occurs when we talk about direct variation. If the quantities x and y are related by an equation y − kx for some constant k ± 0, we say that y varies directly as x, or y is proportional to x. The constant k is called the constant of proportionality. Equivalently, we can write fsxd − kx, where f is a linear function whose graph has slope k and y-intercept 0. (a) As dry air moves upward, it expands and cools. If the ground temperature is 20°C and the temperature at a height of 1 km is 10°C, express the temperature T (in °C) as a function of the height h (in kilometers), assuming that a linear model is appropriate. (b) Draw the graph of the function in part (a). What does the slope represent?(c) What is the temperature at a height of 2.5 km?Under a laminar flow, the liquid flows through small holes. It has a triangular cross-section, width b and length L, where the volumetric flow rate Q of the flow is a function of viscosity. ,pressure reduction per unit length p/L and width b 1) Use the PI theory to write the relationship as a dimensionless variable. 2) if the width b is doubled by viscosity And the pressure drop per unit length p/L is the same. I want to know how the flow rate Q will change.
- explains how the two methods of parameter estimation, namely the method of parameter estimation and the method of moments and percentile matching, are used to fit distributions to data for actuarial calculations.Need help with engineering problem. Match the RTT term with its explanation: A: ddt(∫CVβρdᏉ) B: ∫CSβρVcosθdAout C: ∫CSβρVcosθdAin A. B. C. Match one of the following answers below to each letter. A change within the control volume Outflow of B from the ontrol volume Inflow of B to the control volumeLiquid biofuel (density= 789 kg/m3) is being pumped from a storage tank through a pipe with 1-inch innerdiameter (ID). The fuel is being pumped at a rate of 3.00 gallons per minute. In this process, what is thekinetic energy transport rate (Ėk) in units of horsepower (hp) and ft•lbf/sec.
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