5.106 A u component of velocity is given by u = is a constant. What is a possible v component? What must the v component be if the flow is irrotational? Axy, where A
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- hunan a0lery with an isernal diane- major ter of Smin the flow of blood averaged over tte cardiac cycle is 5 cm's-1. The GrRry bifurcales (splits) inlo 1oo iden tical blood vessels th at are each 3 mm in diameter. ike density of blood is lo06g cm a. What is the average velocity at the upstream bifurcahon ? b. What is the aver9ge mass flowe at The verags upstream bifyrcahon? Co What is the average velocily at Ete downsream bifurcaho? d. What is the aNerage mass flow rale at te downsteam bifurcahon?Suppose blood is pumped from the heart at a rate of 4.5 L/min into the aorta of radius 1.2 cm. Determine the speed of blood through the aorta, in centimeters per second. V?Consider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 7 in./sec, which is decreasing at the rate of 3 in./sec every second. Simultaneously, the cylinder is rotating about a horizontal axis through O at a constant rate of 10 deg/sec. Determine the velocity v and acceleration a of the clevis attachment at B. B 3.0' 3.8' A 36°
- A very small circular cylinder of radius Ri is rotating at angular velocity ?i inside a much larger concentric cylinder of radius Ro that is rotating at angular velocity ?o. A liquid of density ? and viscosity ? is confined between the two cylinders. Gravitational and end effects can be neglected (the flow is two-dimensional into the page). If ?i = ?o and a long time has passed, generate an expression for the tangential velocity profile, u? as a function of (at most) r, ? ,Ri, Ro, ?,and ?, where ? = ?i = ?o. Also, calculate the torque exerted by the fluid on the inner cylinder and on the outer cylinder.What is the fluid speed a hose a 9.00-cm diameter 80.0 L of water per second? (b) What is the flow rate in cubic meters per second? (c) Would your answers be different if salt water replaced the fresh water in the fire hose?Fresh water flows into tank 1; mixed brine flows from tank 1 into tank 2, from tank 2 into tank 3, and out of tank 3; all at the given flow rater gallons per minute. The initial amounts x₁ (0)=x (lb), and x₂(0)=0, and x3 (0) = 0 of salt in the three tanks are given, as are their volumes V₁. V₂. and V3. First solve for the amounts of salt in the three tanks at time t, then determine the maximal amount of salt that tank 3 ever contains. Finally, construct a figure showing the graphs of x₁ (t). x₂(t), and x3 (t). r=72, Xo = 60, V₁ =24, V₂ = 18, V3 = 36 X₁ (1)= X₂ (1)= X3 (t)= The maximum salt ever in tank 3 is pounds. (Round to two decimal places as needed.) Choose the correct graph of x₁ (t). x₂(t), and x3 (t) below. O A. 60) (1) x₂ (1) Q Q О в. 60-x) 60,0 U xat) G $(t) О с. 60-4%,() X₂(t) Q O D. 60%(1) x² (1) Q
- Given the average heart rate of a human is 7.00 beats per minute and the average volume flow of blood pumped out by the heart to the body is 70.0ml/beat. A, Determine the average flow rate for blood in units of milliliters per minute.(mL/min)When you turn on the faucet a stream of water comes out asseen in the figure. The stream becomes narrower, tapering off,as it falls. If the radius of the faucet is R, and the water comes outat a velocity V , then derive an equation for the radius ofthe stream as a function of distance from the faucet, r (h).Hint: assume that the stream is circular in cross-section.The telescoping link is hinged at O, and its end A is given a constand upward velocity of 200 mm/s by the piston rod of the fixed hydraulic cylinder B. calculate the angular velocity? and the angular acceleration (?dot dot) of link OA for the instant when y=600mm
- l.87 Qutomobile dhaer tavel lngA nothent 41-6 kmh notices that Wind frem the notth An nostheast be comy appens to When he wind appeas. the drines southeast at 4skm h 60° be canrig west. Find to velacity ofe South the wind elatine to theI need help figuring out the mass density of the string and the percent error. Please!!The basic function of an automobile's carburetor is to atomize the gasoline and mix it with air to promote rapid combustion. Assume that 40 cm? of gasoline is atomized into N spherical droplets. Each droplet has a radius of 2.0 x 10-5 m. Find the total surface area of these N spherical droplets.