Bill is working on an electrical circuit problem. He remembers from his electrical engineering class that voltage drop
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FLUID MECHANICS FUNDAMENTALS+APPS
- If the following equation is dimensionally homogeneous, find the dimensions of the physical quantity K indicated in the system of fundamental physical quantities: Length, Mass and Time. Ep -G Mm K where Ep is the gravitational potential energy (same units as the kinetic energy E mv²/2), M and m are the mass of the earth and the mass of the body, respectively, and G is the universal gravitation constant G~ 6,67 x 10-11 N m² kg²arrow_forwardPlease answer ASAP, Please. Thank you very mucharrow_forwardPide Use Buckingham's PI Theorem to determine non-dimensional parameters in the phenomenon shown on the right (surface tension of a soap bubble). The variables involved are: R AP - pressure difference between the inside and outside R- radius of the bubble Pide Soap film surface tension (Gravity is not relevant since the soap bubble is neutrally buoyant in air)arrow_forward
- Thermal conductivity k is a measure of the ability of a material to conduct heat. For conduction heat transfer in the x-direction through a surface normal to the x-direction, Fourier’s law of heat conduction is expressed as: Q=-kA.dT/dx where ?̇ is the rate of heat transfer and A is the area normal to the direction of heat transfer. Determine the primary dimensions of thermal conductivity (k). Look up a value of k and verify that its SI units are consistent with your result. Write a set of primary SI units for k.arrow_forwardSome children are playing with soap bubbles, and you become curious as to the relationship between soap bubble radius and the pressure inside the soap bubble . You reason that the pressure inside the soap bubble must be greater than atmospheric pressure, and that the shell of the soap bubble is under tension, much like the skin of a balloon. You also know that the property surface tension must be important in this problem. Not knowing any other physics, you decide to approach the problem using dimensional analysis. Establish a relationship between pressure difference ΔP = Pinside − Poutside, soap bubble radius R, and the surface tension ?s of the soap film.arrow_forwardplease show steps with explanation of the formulas and calculs for more understanding. Thank you!arrow_forward
- Dimensional analysis: O Is very helpful in determining speeds for dynamic similarity in model testing O Is an efficient way of storing and retrieving experimental data All responses are correct Helps in planning experiments Can be used to derive equations and non-dimensional numbersarrow_forwardStorage is required for 35000 kg of propane, received as a gas at 10 °C and 1 atm. Your engineering team was tasked to propose a suitable method of storage. One of the proposed methods is to store the gas in a cylinder tank as gas at 10 °C and 1 atm. You need to calculate the volume of the tank required to support your proposal. You decided to use the truncated Virial Equation to find the volume required. Discuss whether the proposed storage can be implemented in terms of the dimension of the tank and cost.arrow_forwardi need the answer quicklyarrow_forward
- Check the following equation for dimensional homogeneity: mu = (Fcos) at where m is mass, v is velocity, F is force, is an angle, and it is time. Check that each term in the equation has the following dimensions: [MOLT] where you are to choose the coefficients a, b, c. Answers: b= C= i iarrow_forward1- The thrust (P l ) of a propeller depends upon diameter (D); speed (u) through a fluid density (p); revolution per minute (N); and dynamic viscosity (u) Show that: P = (p D² u²) f P Du [; where fis any function.arrow_forwardFluid mechanics problem:arrow_forward
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