The pressure of a liquid increases by 60 N/cm² and the volume of it decreases by 0.15 percent. The bulk modulus of elasticity of the liquid is.
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- Calculate the pressure increase that must be applied to water to reduceits volume by 0.8%. Bulk Modulus of elasticity of water, Ev = 2.14 GPa.Question 1 A uniform bar of length L, cross-sectional area A, and mass density p is suspended vertically from one end. (a) Show that the elongation of the bar is & = pgl?/(2E) where g is the gravitational acceleration and E is the modulus of elasticity. (b) If the mass of the bar is M, show that 6 = MgL//2EA)Fluid Mechanics Question 5: The pressure of a liquid increases by 60 N/cm² and the volume of it decreases by 0.15 percent. The bulk modulus of elasticity of the liquid is 1. 20000 N/cm² 2. 30000 N/cm² 3. 80000 N/cm² 4. 40000 N/cm²
- A stepped bar with circular cross-section and supported at top, hangs vertically under its own weight. Dimensions of the bar are shown in the figure below. Calculate the elongation of the bar under its own weight. What is the change in diameter of the bar at section AA shown in the figure ? E= 2 x 10 N/mm2, density y = 8 x 10-5 N/mm² and Poisson's ratio m = 0.2. A 100 mm 70 mm -A + + 500 mm 500 mm 1000 mm5.) The figure shows a metal hanging by a thin wire from a floating wood block. The wood block has a specific gravity Sb =0.25, a square base of 80 mm x 80 mm and height of 15 mm. The metal has a volume of 8000 mm^3. Using a unit weight of water 9800 N/m^3 and g=9.80 m/s^2., find the mass of metal in grams. Write your answer in two decimal places. fluid mechanicsNeed help! Image attached. A regulation tennis ball is made of an elastic material and can be modeled as a sphere. The center of the tennis ball is hollow, filled with pressurized air. You may assume the mass of air inside the tennis ball is negligible. The elastic portion of the tennis ball has a mass of 58 grams [g]. The outer diameter is 2.6 inches (in] and elastic material has a thickness of 3 millimeters (mm). What is the specific gravity of material used to form the tennis ball?
- which one of the following equations is dimensionally homogeneous? show your proof. a. F=ma b. F=m V^2/R c. F(t(2)-t(1)=m(v(2)-V(1)) d. F=mV e. F=m (v2-v1)/(t2-t1) where F= force (N) m=mass (kg) a= acceleration (m/s^2) V=velocity (m/s) R=radius (m) t= time (s)An astronaut has a mass of 68 kg. What is the weight of the astronaut on Earth at sea level? What are the mass and the weight of the astronaut on the Moon, and on Mars? What is the ratio of the pressure exerted by the astronauts shoe on Earth to Mars?Sketch the Maxwell model and label all the components. Also, draw a graph of displacement versus time when the model is subjected to a constant force for a time period and then released. Why does the model responds this way.
- Example 10.6 A railway wagon moving at a velocity of 1.5 m/s is brought to rest by a bumper consisting of two helical springs arranged in parallel. The mass of the wagon is 1500 kg. The springs are compressed by 150 mm in bringing the wagon to rest. The spring index can be taken as 6. The springs are made of oil-hardened and tempered steel wire with ultimate tensile strength of 1250 N/mm? and modulus of rigidity of 81 370 N/mm?. The permissible shear stress for the spring wire can be taken as 50% of the ultimate tensile strength. Design the spring and calculate: (i) wire diameter; (i) mean coil diameter; (ii) number of active coils; (iv) total number of coils; (v) solid length; (vi) free length; (vii) pitch of the coil; (vii) required spring rate; and (ix) actual spring rate.Draw a sketch of the Maxwell model and label all components. Draw a graph showing displacement versus time when the model is subjected to a constant force for a time period t and then released. Comment on why the model responds this way.19. A compressed liquid in a container has a volume of 1 liter at a pressure of 1 MPa and a volume of 0.995 liter at a pressure of 2 MPa. What is the bulk modulus of elasticity of the liquid? * 150 MPa 200 MPa 210 MPa 220 MPa 20. What pressure is required to reduce the volume of water by 0.60 percent If the volume modulus of elasticity of water is 2.2 GPa? * 10.5 MPa 11.2 MPa 12.5 MPa 13.2 MPa