The belt as shown below, moves at steady velocity V and skim at the top of a tank of oil of viscosity μ. Assuming a linear velocity profile, then which of the following expression is correct regarding power, P. Assume B moving belt width h is the oil depth and air drag is neglected. Oil depth, h moving belt width B.
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- A square block has 320 mm bottom sides dimensions, weighing W is 1.4 kN on an edge slides down an incline angle 0 is 20° on a film of oil 6 mm thickness, as shown below. Assuming a linear velocity profile in the oil. The viscosity of the oil is 0.009 Pa.s. W y Determine the force acting on the block, F. What is the velocity of the block, V?(b) A Formula 1 team tests their car in a wind tunnel at a scale of 50%, at a speed of Vwinarunnet = 50 m/s. The measured downforce at this speed is Foownforce.WT = 3000 N and the model reference area is Aref wT = 0.5 m?. 1. Find the downforce magnitude on the full-scale race car at the same Reynolds number. Assume constant air density p = 1.2 kg/m. II. It is said that F1 cars could travel upside down, as shown below. At what speed should the full-scale car travel to achieve this, if its mass is m = 740 kg? The acceleration of gravity is g = 9.81 m/s?. Downforce WeightThe belt moves at a steady velocity V and skims the top of oil tank. Assuming a linear velocity profile in the oil, what is the required belt-drive power P (watt) (P= power = force x Velocity) if the belt moves at 3.5 m/s over oil with specific gravity of S=1.7 and oil viscosity of 0.004 m2/s. Belt geometry L=2 m, b = 60 cm, and oil depth is h = 3 cm? L. Ot Moving belt, width b Oil, depth h
- No card B a m OO ji OON 2819:03 Image viewer L Moving belt, width b Oil, depth hAt a certain point in castor oil the shear stress is 0.216 N/m and the velocity gradient 0.216 s. If mass density of castor oil is 959.42 ka/m. Find kinematic viscosity.The belt moves at a steady velocity V and skims the top of oil tank. Assuming a linear velocity profile in the oil, what is the required belt-drive power P (watt) (P= power force x Velocity) if the belt moves at 3.5 m/s over oil with specific gravity of S-2.4 and oil viscosity of 0.004 m2/s. Belt geometry L= 2 m, b = 60 cm, and oil depth is h = 3 cm? Moving belt, width b Oil, depth h
- The pressure P exerted by a flowing fluid on a stationary body depends upon the length l ofthe body, velocity of the fluid u, density of fluid ρ, viscosity of the fluid μ, and accelerationdue to gravity g. Find an expression for the force using Buckingham π theorem. clearis called a cone-plate viscometer A solid cone of angle 2k, base 1, and density p, is rotat- Ing with initial angular velocity my inside a conical.seat, as shown in Fig. of viscosity u. Neglecting air drag, derive an analytical ex- pression for the cone's angular velocity ) if there is no applied tongue. The device in Fig. The angle of the cone is very small, so thiat sin 0 0, and the gap is filled with the test liquid. The torque M to rotate the cone at a rate 1 is measured. Assuming a lin- ear velocity profile in the fluid film, derive an expression for tiuid viscosity u as a tumction of (M, R. S2, 0). The clearance h is filled with nil Bave C co radius a dwit) dt Fluid I manmot 1Inentia Derive an expression for the capillary height change h for a fluid of surface tension Y and contact angle 0 between two vertical parallel plates a distance W apart, as in Fig. . What will li be for water at 20°C if W = 0.5 mm? A thin plate is separated from two fixed plates by very vis- cous liquids…When a person ice skates, the surface of the ice actuallymelts beneath the blades, so that he or she skates on a thinsheet of water between the blade and the ice.( a ) Find an expression for total friction force on the bottomof the blade as a function of skater velocity V , bladelength L , water thickness (between the blade and theice) h , water viscosity μ , and blade width W .( b ) Suppose an ice skater of total mass m is skatingalong at a constant speed of V 0 when she suddenlystands stiff with her skates pointed directly forward,allowing herself to coast to a stop. Neglecting frictiondue to air resistance, how far will she travelbefore she comes to a stop? (Remember, she iscoasting on two skate blades.) Give your answer forthe total distance traveled, x , as a function of V 0 , m ,L , h , μ , and W .( c ) Find x for the case where V 0 = 4.0 m/s, m = 100 kg,L = 30 cm, W = 5.0 mm, and h = 0.10 mm. Do youthink our assumption of negligible air resistance is agood one?
- A submarine is traveling at a depth of ‘95’ kilometers in the ocean, where the gagepressure is 840 Kg(f)/cm2 . The density and bulk modulus of elasticity of water at the top surface of the ocean are 1025 kg/m3 and 24000 kg(f)/cm2 respectively. Find the following:(i) What will be the density of water at the depth of 2.0 kilometers?(ii) What will be specific volume and change of volume at that depth?(iii) What is the pressure at the top surface of the submarine? How much will bechanged in pressure if submarine change direction from North to East?An incompressible fluid (kinematic viscosity, 7.4 x10-7 m²/s, specific gravity, 0.88) is held between two parallel plates. If the top plate is moved with a velocity of 0.5 m/s while the bottom one is held stationary, the fluid attains a linear velocity profile in the gap of 0.5 mm between these plates; the shear stress in Pascals on the surface of top plate is rt of this book may be reproThe belt in Fig. 2, moves at a steady velocity V in the tank of oil , as shown. Assuming a linear velocity profile in the oil, determine the force F required to belt-drive at velocity of 7 m/s. if you know that the viscosity of oil is 0.29 kg/(m.s). *