5.8 Calculate the drag coefficient and drag force on a cylindrical shape flag post of the ship having diameter 60mm and 3m long exposed to wind velocity of 10m/s. The density and the kinematic viscosity of air are 1.2 kg/m and 1.6x 10 m/srespectively. [Ans: 10.8 N]
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- A paramecium is an elongated unicellular organism with approximately 50 μmin diameters and 150 μmin lengths. It swims through water by whip-like movements of cilia, small hairs on the outside of its body. Because it moves "head first" through the water, drag is determined primarily by its diameter and only secondarily by its length, so it's reasonable to model the paramecium as a 70-μm diameter sphere. A paramecium uses 2.0 PW of locomotive power to propel itself through 20∘C water, where 1 pW = 1 picowatt = 10−12W. What is its swimming speed in μm/s? Express your answer in micrometers per second.An air hockey puck has a mass of 50 g and is 9 cm in diameter. When placed on the air table, a 40 degrees C air film, of thickness 0.12 mm-thickness forms under the puck. a) Using Sutherlands law, what is the viscosity of the air? b) If the puck is travelling at 10 m/s, assuming a linear velocity profile, what is the force on the puck due to shear stress? c)What is the terminal velocity of the puck?Q.10. To predict the drag on an aircraft at a flight speed of 150 m/s, where the condition of air is such that the local speed of sound is 310 m/s, a pressurized low temperature tunnel is used. Density, viscosity and local sonic velocity at tunnel condition are 7.5 kg/m³, 1.22 x 10-5 Ns/m² and 290 m/s. Determine the flow velocity and the scale of the model. Assume full dynamic similarity should be maintained. Density and viscosity at the operating conditions are 1.2 kg/m³ and 1.8 x 10 Ns/m².
- For creeping flow over a three-dimensional object, the aerodynamic drag on the object does not depend on (a) Velocity, V (b) Fluid viscosity, ? (c) Characteristic length, L (d ) Fluid density, ? (e) None of theseProblem 5Given: A prototype ship is 50 m long and designed for a cruising speed of 10 m/s. The drag is to be simulated by a 1-m-long model that will be towed in a towing tank.Required: Using Froude scaling, determine the tow speed and the ratio of the model to prototype drag and power (i.e. Vm/Vp and Pm/Pp . Recall: Power=Force*Velocitya test tank will be used to measure the drag of a scale model ship 0.8 m long. This model bears full resemblance to a 40 m long prototype ship that was designed to sail at a speed of 10 m / s. a) model speed b) the ratio between model and prototype drag windows c) a ratio between the powers needed to overcome the drag of the model and the prototype take the number of froud into account in your analysis.
- Characteristics of a small underwater craft are studied under dynamic similarity conditions in a variable density wind tunnel on a model scale of 1:12. What prototype speed and power are indicated by model values of 100 m/s of velocity and 30 N of drag force? The model is operated at a density of 7.6 kg/m3.Take viscosity of air and water are 2.17 x 10-5 N.s/m2 and 1 x 10-3N.s/m2 respectively.A 1:20 scaled-down model of a hydrofoil is tested in a water channel, at a velocity of 0.179 m/s. At this velocity, a drag force of 2.2 N is measured. Determine the drag force of the original hydrofoil, at a velocity of 0.8 m/s.1) Calculate the drag force (unit: N) of a sphere particle in 20°C water. Know the diameter of the particle = 1 cm; the Reynolds number of water = 1; dynamic viscosity of 20°C water = 0.001 kg/ms; velocity of the particle = 0.02 m/s. 2) When calculate the lift coefficient, the area A in the equation is: a) surface area b) planform area c) cross-sectional area d) frontal area 3) The sum of the components of the pressure and wall shear forces (a) in the flow direction is called ____ and (b) in the normal direction is called ____. a) Friction, Pressure b) Lift, Drag c) Pressure, Friction d) Drag, Lift
- A tiny aerosol particle of density ?p and characteristic diameter Dp falls in air of density ? and viscosity ?. If the particle is small enough, the creeping flow approximation is valid, and the terminal settling speed of the particle V depends only on Dp, ? , gravitational constant g, and the density difference (?p − ? ). Use dimensional analysis to generate a relationship for V as a function of the independent variables. Name any established dimensionless parameters that appear in your analysis.(COLLAB) Simulate projectile motion with air resistance in PhysLab. A shuttlecock is launched from the ground with an initial speed of 36.9688 m/s at an angle of 6.8583 degrees with respect to the horizontal. The shuttlecock experiences air resistance with a drag coefficient of 0.1931 in an environment where the air density is 0.9453 kg/m3. If the shuttlecock has a radius of 3.4 cm and a mass of 5.2 grams, what is the maximum height reached by the shuttlecock? Assume that the experiment is done near the surface of the earth (initHeight = 0) .An airplane has a mass of 50,000 kg (without load), a wing area of 360 m2 , a maximum lift coefficient of 3.25, and a cruising drag coefficient of 0.03 at an altitude of 12,000 m. Taking the density of standard air as ρ1 = 1.225 kg/m3 at sea level and ρ2 = 0.312 kg/m3 at 12,000 m altitude. (a) Generate a plot on computer software ( excel, matlab, etc.) of the safe takeoff speed at sea level Vs the load carried by the airplane (ranging from 0 kg to 20,000 kg of load). (b) Determine the power that must be delivered by the engines for a cruising speed of 800 km/hr.