7) A particle to the relation a=1.5t+4 m/s²,the initial conditions are v=0,s=0 and t=0, What is the acceleration velocity and displacement after 6s.
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A: We are suppose to solve only one question. Please post other question as a separate question.
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A: 257meter. Detailed solution given below.
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- Specifically a dynamics problem: A particle travels along a straight line with velocity v = (12 - 3t2) m/s. When t = 1 s, the particle is located 10 m to the left of the origin. What is the distance the particle travels from t = 0 to t = 10 s?Check to see whether the simple linear combination of sine and cosine functions Ψ = Asin (kx) + Bcos(kx) satisfies the time-independent Schrödinger equation for a free particle (V 0).An 8 m/s wind enters a wind turbine rotor with a diameter of 36 m. Assume the air density 1.2 kg/m3 Calculate: The power of incoming wind, The maximum power extracted by the wind turbine, If the gearbox, generator and electrical transmission and processing efficiencies are 0.85, 0.96 and 0.95, respectively, what is the turbine effective converted power
- A bullet (a a) 2 cm long is fired at 420 m/s and passes straight through a 10 cm thick wooden-board, penetrate (Cia) at 280 m's. Bullet (a) What is the average acceleration of the bullet through the board? (b) What is the total time that the bullet is in contact with the board? (c) What minimum thickness could the board have if it was supposed the bullet?13.73. A model of a motorboat is driven at 4.57 m/s by means of a jet of water 25 mm in diameter, ejected directly astern. The velocity of the jet relative to the model is 35.1 m/s. What is the driving force? Ans. 543 NA steam generator generates flue gas at an average temperature of 260 C inside a Chimney. The theoretical draft is 0.5 kPa and the ambient condition of the air is 21 C and 100 kPa. Assume the coefficient velocity to be 0.30 and the molecular weight of the flue gas is 32. For air-fuel ratio requirements per second of 15, calculate: a. The diameter of the Chimney, meter b. The theoretical draft, cm H₂O
- What is the maximum power generated by the wind farm with wind speed of 4 m/s? Typical wind turbines have rotor diameters from 40 m to 90 m (Assume increment of 5 m for this problem)-40 m is 80% efficient and efficiency decreases by 5% for every 5 m increase in diameter (i.e. 45 m=75%, 50=70...)-The ridge is 10 km long and wind turbines will be spaced in a single row. •Power in the wind per unit area of circular area is 1/2ρv3W/m2 (v is the wind speed, ρ is 1.3 kg/m3 for air) •Wind turbines cannot be spaced closer than 5 times its diameter without loosing power also there are no partial turbines.a) what is the laplace equation for a sphere? b) Assuming a patient is presented with an 18% decrease in blood flow rate(Q), througha given portion of an artery, what is the percentage change in the radius of the vessel?Aiming a 1.69 in diameter garden hose straight up, forms a “bubbler fountain” that you could easily drink from (but you shouldn’t because of bacteria, etc.). The water flows out the hose and down the sides. If the water has a density of 63.1 lbm/ft^3 and a viscosity of 0.0119 g/cm*s, what is the thickness of the water film (df) (in cm) if the flow rate of water is 6.42 in^3/s? For simplicity, assume the film is thin enough that you can use rectangular coordinates.
- 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.please answer A pump impeller rotating at 1400 rpm has an outside radius of 21 cm, the vane outlet angle β2 is 158° and the radial velocity at the outlet Cr2 is 4 m/s. Assuming radial flow at inlet, draw the theoretical outlet velocity diagram and calculate the various velocities and angles.( A)What is the theoretical head Ho, in meters, assuming that the circulatory flow coefficient η∞ = 1.,(B)In the preceding example; assume a deviation of 10° applied to β2 due to circulation after the modern theory. The flow is 30 lit/s. After drawing/illustrating the velocity diagram, find the theoretical head Ho, in meters, assuming radial flow at inlet, neglecting the deviation in inlet velocity diagram. (c)Assuming that the mechanical efficiency ηmech = 0.95, the hydraulic (or manometric) efficiency ηman = 0.8, find the required break horsepower to drive the pump.(a) If the boundary layer velocity profile for y ≤ δ is given by where U is the velocity at a distance y from the surface, δ is the boundary layer thickness and Ue is the freestream velocity. (i) Find the ratio of the displacement thickness to the boundary layer thickness (this is a number). (ii) Find the ratio of the momentum thickness to the boundary layer thickness (this is a number). (b) Air enters a two-dimensional duct with a uniform velocity profile. As the boundary layers on the top and bottom walls grow with downstream distance, the velocity in the freestream tends to increase. However, if the walls diverged with downstream distance so that the freestream velocity remained constant, express the angle of divergence of the walls in terms of the boundary layer displacement thickness δ∗ and the distance along the duct x. (c) A laminar boundary layer is observed to grow on a flat plate of width w and length x = L such that the pressure is…