luid Mechanics A solid spherical ball has a radius of 50 cm and total mass of 400 kg. If it’s drop from the surface of a 100 m lake, how long until it reaches the bottom if the lake water
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- A tremendous force is generated when waterfreezes into ice and expands in volume by 9.0%. Suppose a 1.000-m3cube of liquid water freezes into ice that is 1.000 m on a side by1.090 m tall. How many 68-kg students would the ice be able tolift? Determine this by calculating the amount of force on the top1.000-m2face that would be required to squeeze 1.090 m3of iceback to 1.000 m3, assuming all of the volume change occurs alongthe vertical directionAn ant on a picnic table travels 30 cm eastward, then 25 cm northward, and finally 15 cm westward. What is the magnitude of the ant's displacement relative to its original position?A hemispherical container, 26 inches in diameter, is filledwith a liquid at 20 ° C and weighed. The liquid weight isfound to be 1617 ounces. ( a ) What is the density of thefluid, in kg/m 3 ? ( b ) What fluid might this be? Assume standardgravity, g = 9.807 m/s 2 .
- Don't skip steps. Show the complete solution for this problem. A golden breast plate weighing 18.63 kg Is dropped in a tub that Initially contains water. After the breast plate was totally submerged. the water level rises by 61.87 cm. The tub has a diameter of 6 centimeters and the breast plate was said to be made only from gold and silver Compute for the percentage of each component of the breast plate if the density of gold Is 19.3 g/cubic centimeter and silver has a density of 10.49 g/cubic centimeter.A U-tube mercury manometer is used to measure the pressure at a pointon the wing of a wind-tunnel model. One side of the manometer isconnected to the model, and the other side is open to the atmosphere.Atmospheric pressure and the density of liquid mercury are1.01 × 105 N/m2 and 1.36 × 104 kg/m3, respectively. When thedisplacement of the two columns of mercury is 20 cm, with the highcolumn on the model side, what is the pressure on the wing?Directions: Solve the following problems completely, and make a detailed solution. Any incompletesolution arriving at such answers will never be considered. 5. A certain gas weighs 3.19 x 10-3 slugs/ft3 at a certain temperature and pressure. Whatare the values of its density (N/m3), specific volume (m3/kg), and specific gravity relativeto air weighing 2.39 x 10-3 slugs/ft3?
- Give me right solution with clear calculations. A closed cylindrical tank 1.89m high and 0.99m in diameter contains water of height 1.35m. When the angular velocity is constant at 20rad/sec What is the area (m 2) uncovered at the bottom? A. 0.1 B. 0.3 C.0.7 D. 0.07 If it is rotated at 15rad/sec and the air has a pressure of 200kPa what is the minimum pressure at the bottom of the tank in KPa? A. 245.10 B.145.10 C.201.45 D.210.54Fluid mechanics, I need solutions in 15 minutes please. MCQ/Determine the horizontal and vertical components of the liquid pressure acting on the semicylindrical gate ABC, as shown in the figure. The width into the paper is 1 m. A-Fx = 257.430 kN and Fy = 59.801 kN B-Fx = 164.018 KN and Fy = 37.229 KN C-Fx = 269.894 kN and Fy = 65.526 KN D-Fx = 98.182 kN and Fy = 20.002 KN E-Fx = 234.789 kN and Fy = 52.418 kN F-Fx = 187.005 kN and Fy = 42.182 KN G-Fx = 119.956 kN and Fy = 25.550 KN H-Fx = 141.327 kN and Fy = 31.171 KN I-Fx = 288.147 kN and Fy = 69.098 KN J-Fx = 213.112 kN and Fy = 47.903 KNUsing Newton's second law, the movement of a body in a viscous fluid can be modeled. For this case it will be a one-dimensional movement. ec.1) F -FR = ma F: Force applied to the body. FR: Resistance that opposes the fluid to the movement. m: body mass a: body acceleration For a sphere with initial radius R0 = 1 meter and density 8960 kg/m^3 to which a constant force of 3 Kilo Newtons is applied, it is requested: Using Euler's method, find the velocity as a function of time for the first 5 seconds of movement, considering that v(0) = 10 m/s. Use a 1 second step. For this case use: ec.2) FR = 210Rv R: Radius of the sphere. v: velocity Where, in addition, the sphere disintegrates as time passes in this fluid, so its radius is given by the following function: ec.3) R = R0*e^(-t/250)
- A sea-level automobile tire is initially at 32 lbf/in2 gagepressure and 75 °F. When it is punctured with a hole that resemblesa converging nozzle, its pressure drops to 15 lbf/in2gage in 12 min. Estimate the size of the hole, in thousandthsof an inch. The tire volume is 2.5 ft2.For most gases at standard or near standard conditions, the relationshipamong pressure, density, and temperature is given by the perfect gasequation of state: p = ρRT, where R is the specific gas constant. For airat near standard conditions, R = 287 J/(kg · K) in the International System of Units and R = 1716 ft · lb/(slug · ◦R) in the English Engineering System of Units. Using the above information, consider the following two cases: a. At a given point on the wing of a Boeing 727, the pressure andtemperature of the air are 1.9 × 104 N/m2 and 203 K, respectively.Calculate the density at this point.b. At a point in the test section of a supersonic wind tunnel, the pressureand density of the air are 1058 lb/ft2 and 1.23 × 10−3 slug/ft3,respectively. Calculate the temperature at this point.A very tall 10-cm-diameter vase contains water at a depth of 6 cm. When spun steadily to achieve rigid-body rotation, the bottom is just started to get exposed. What is the rotation rate, in RPM, for this condition?