3. Water sloshes back and forth in a tank as shown on the following page. The...
could you help me with numbers 1-3 Question 1: Use the Repeating Method Only! Water sloshes back and forth in a tank as shown in the figure below. The frequency of sloshing. 6, is assumed to be a function of the acceleration of gravity. 8. the average depth of the water, h, and the length of the tank, C. Develop a suitable set of dimensionless parameters for this problem using g and l as repeating variables. Question 2, Flow with...
H11.2 Water flows over a dam as illustrated in the figure. Assume the flowrate, q, per unit length along the dam depends on the head, H, width, b, acceleration of gravity, g, fluid density, r, and fluid viscosity, u. a) Why shouldn't you choose both H and b as repeating variables? b) Develop a suitable set of dimensionless parameters using the Buckingham Pi method and the FLT system for this problem using b, g, and p as repeating variables. Governing...
A grandfather clock contains a pendulum that swings back and forth due to gravity. Model the pendulum as a one-dimensional rod that is connected to a solid disk. The length of the rod is L, and the radius of the solid disk is R. The mass of each object is . Known: , L, R, g What is the angular acceleration of the swinging pendulum when it is at an angle relative to the vertical, as shown? Let counterclockwise be the positive...
need help with fluid mechanics problem Name: 4. (15 pts) Wind blowing past a flag cuses it to"ap in the breeze. The flapping frequency is assumed to be a function of the wind speed V, air density p gravitational acceleration g, length of the flag I, and the area density" pa (which has dimensions M/L2) of the flag material Using the Buckingham Pi theorem with V, p, and Las your repeating variables, determine the relevant dimensionless groups. Nate. You must...
b) The power input P to be a cerki fugal pump is assumed to be a function of the volume flow , impeller diometer D rotational rate , and the density and MJ CAST of the fluid. By using , and D as repeating von bles) develop this as a dimensionless relationship - d3 - A water solution entering the propeller in the pump produces thrust force, ft which is depending on the density, diameter ,d, the rotational speed, co...
Water (70°F) is draining from a tank through a galvanized iron pipe. The pipe length is L - 12 ft, the tank depth isH = 8 ft, and the pipe is 1-in. NPS schedule 40 (ID 049 in.). The entrance to the pipe is sharp /H Pipe of dimne 12f ㄥ 2. We were unable to transcribe this image
Draining a tank A cylindrical water tank has a valve at the bottom. When the valve is opened, the water drains out, and rate at which the water flows out is proportional to the fill level because the pressure in the tank is proportional to the mass of water in the tank. Therefore the decrease of mass in the tank is given by , where m is the mass of water in the tank and α is a constant. (a)...
Q1: Consider the tank and water supply system as shown in Figure. The diameter of the supply pipe is D. = 40mm, and the average velocity leaving the supply pipe is V1 = 3 m/s. A shut- off valve is located at z = 0.7 m in the exit pipe, which has a diameter of D, = 30mm. The tank diameter is De = 0.7m. The density of the water is uniform at 998 kg/m. a. Find the time to...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w - 0.5 m and their lengths are either l 2 m or 12 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m and its absolute viscosity 1.00 x 10-3 N.s/m2 You are asked to perform dimensional analysis to find the drag force...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w -0.5 m and their lengths are either lı- 2 m or l2-2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m3 and its absolute viscosityH 1.00 x 10-3 N.s/m2. You are asked to perform dimensional analysis to find the drag force on the...