When the heart pumps blood into the aorta, the pressure gradient—the difference between the blood pressure inside the heart and the blood pressure in the artery—is an important diagnostic measurement. A direct measurement of the pressure gradient is difficult, but an indirect determination can be made by inferring the pressure difference from a measurement of velocity. Blood is essentially at rest in the heart; when it leaves and enters the aorta, it speeds up significantly and—according to Bernoulli’s equation—the pressure must decrease. A doctor using 2.5 MHz ultrasound measures a 6000 Hz frequency shift as the ultrasound reflects from blood ejected from the heart.a. What is the speed of the blood in the aorta?b. What is the difference in blood pressure between the insideof the heart and the aorta? Assume that the patient is lying down and that there is no difference in height as the blood moves from the heart into the aorta.

Task3 a) The Radiator department also wants to use the software to study fluid pressure inside the radiator of the car and, have requested you to validate the software. The rate of change of the pressure (F(t)) at any instant of time is proportional to the difference between the pressure of the liquid and a reference value as following: dF :-(F – P/Q) dt Use Q=65 and P=5 values. The pressure is found to be F = 1000 when t= 1 sec. where t = time in seconds. Derive an equation to predict the pressure of the fluid flows in the radiator at any given time, assuming that at all times F >_P Also find the pressure at time t = 100 s. b) The same department also investigates problem associated with the relationship between the velocity of the pressing the pedal and the rate of change of that velocity. So you were asked to validate the software using the growth equation given by: dv = Pv - dt Where v(t) is the velocity of the pedal at time = t in seconds and P=5. Derive an equation for the…

The average speed of blood in the aorta is 0.330 m/s, and the radius of the aorta is 1.00 cm. There are about 2.00 × 109 capillaries with an average radius of 6.19 μm. What is the approximate average speed of the blood flow in the capillaries?   ?mm/s

Calculate the volume (in m^3) of helium needed in a hot air balloon to lift at least 100 kg of load. Density of He = 0.179 kg/m^3, density of air = 1.29 kg/m^3 (Ans: 90) To solve the problem, which of the following equation/s can be use (check as many that best applies)

calculate the displacement over which the puck accelerates.

It is known that a cubical object made of cast aluminum 0.213 m on a side contains a hollow cavity also in the shape of a cube but of unknown dimensions. If the mass of the object is 22.8 kg, determine the length of each side of the interior cubical cavity. The density of aluminum is 2.70  103 kg/m3.

A weather balloon has an absolute-pressure sensor attached. On the ground the sensor reads PA = 1.01×105 Pa. At a height of h = 968 m, the sensor reads PB = 8.88×104 Pa. a) Assuming air is an incompressible fluid, enter an expression for an estimate of the density of air, in terms of the defined quantities and the acceleration due to gravity, g.  b ) Calculate the density of air, in kilograms per cubic meter, assuming it is an incompressible fluid.

Need Help: It is known that a cubical object made of cast aluminum 0.213 m on a side contains a hollow cavity also in the shape of a cube but of unknown dimensions. If the mass of the object is 22.8 kg, determine the length of each side of the interior cubical cavity. The density of aluminum is 2.70  103 kg/m3. Given Tip: How is the volume of the cubical object related to the volume of aluminum in the object and the volume of the cubical cavity? How is the mass of the cubical object related to the mass of aluminum in the object? Recall how the volume of a cube is related to the length of each side of the cube.

A cube of side length and density pc is immersed in a fluid of density pf. Let h be the height of the cube that is immersed in the fluid. Then, a slight downward push is applied on the cube, making it oscillate up and down the fluid. е Pc h Pfl b. Is the period for small oscillations explicitly dependent on the densities of the fluid and the cube? O Yes O No

Joseph who weighs 70 kg is singing while sitting on a 5 kg, four-legged chair. If each tip of the leg of the chair has a surface area of 5 cm2, how much pressure does Joseph exert on the floor in Pa? No unit is required for the final answer. Write your answer in whole number.