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- Determine the dimensions of constants A and B far which the following equation is dimensionally homogeneous: F=Akx2sinBxk where F is a force, x is a distance, and k represents stiffness (dimensions: [FL1]).The diameter of the sphere is 2 mm. Calculate the value of the Reynolds number for the sphere with 2 mm of diameter when it is moving with a speed of 0.05 m/s. [The value of viscosity is 12 N.s/m² and the value of density is 1300 kg/m']Show that the expression v = v0 + at is dimensionally correct, where v and v0 represent velocities, a is acceleration, and t is a time interval.
- the space between two square flat parallel plates is filled with oil .Each side of the plate is 50 cm .The thickness of oil film is 10 mm .The upper plate, which moves at 2 m/s requires a force of 95 N to maintain this speed. Determine: a- the dynamic viscosity of oil in poise. b-the kinematic viscosity of the oil, if the specific gravity of oil is 0.9A solid sphere diameter of 6 mm is rising through oil of density 900 kg/m^3, dynamic viscosity of .07 kg/m-s. At a constant velocity of 1 cm/s. Calculate the specific weight of the material.The distance between two horizontal plates is 16mm and filled with oil of viscosity 1.75 x 10-3Poise. Calculate shear stress if upper plate is moved with velocity 3.5m/s relative to lower plate. Take specific gravity of the oil as 0.8.
- A skater weighing 500 N skates at 10 m/s and is supported by an average skating area of 10 cm2. If the viscosity of water is 1 centipoise and the coefficient of friction between skates and ice is 0.02, then find the thickness of thin film of water existing between the skates and the ice. Follow the methodologies in solving the problem; Given : Required: Schematic Diagram: Solution:Two plates are placed at a distance of 15 mm apart. The lower plate is fixed while the upper plate having surface are of 1.0 m^2 is pulled at 0.30 m/s. The force in Newton required to the speed if the fluid separating them is having viscosity of 1.5 poise is.The space between two square parallel flat plates is filled with oil.each side of the plate is 720mm. The thickness of the oil film is 15mm. The upper plate which moves at 3m/s requires a force of 120N to maintain the speed. Determine the dynamic viscosity and kinematic viscosity if specific gravity of oil is 0.95
- The space between two square flat parallel plates is filled with oil. Each side of the plate is 720 mm. The thickness of the oil film is 15 mm. The upper plate, which moves at 3 m/s requires a force of 120 N to maintain the speed. Determine: (i) The dynamic viscosity of the oil; (ii) The kinematic viscosity of oil if the specific gravity of oil is 0.95.Find: Show that this equation is dimensionally homogeneousAn iron block with dimensions of 0.25x0.25x0.25 m; It slides over an inclined plane with an inclination of 30 degrees and the surface covered with a layer of oil. If the thickness of the oil layer is 0.0069 mm and the viscosity of the oil is 7.5 mPa.s (milli Pascal seconds), calculate the shear rate of the block in m/s. The specific mass of iron is given as 7800 kg/m3.