The effect of surface tension on the mass of a falling drop is studied. According to Raleigh for non-viscous flow the mass of a drop, ma, is a function of the surface tension, σ, the diameter of the droplet, d, the gravity, g, and the flow density, p. ma = f(d,g,p,σ) Find the relevant dimensionless numbers.

The effect of surface tension on the mass of a falling drop is studied. According to Raleigh for non-viscous flow the mass of a drop, ma, is a function of the surface tension, σ, the diameter of the droplet, d, the gravity, g, and the flow density, p. ma = f(d,g,p,σ) Find the relevant dimensionless numbers.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 43P: A commonly used turn of mass in the English system Is the pound-mass, abbreviated Ibm, where 1 Ibm =...

See similar textbooks

Similar questions

Assume it takes 7.00 min to fill a 30.0-gal gasoline tank. (a) Calculate the rate at which the tank is filled in gallons per second. (b) Calculate the rate at which the tank is filled in cubic meters per second. (c) Determine the time interval, in hours, required to fill a 1.00-m3 volume at the same rate. (1 U.S. gal = 231 in.3)
Is the following statement reasonable? (Justify your answer.) It took 300 L of gasoline to fill up the cars tank.
The volume of liquid flowing per second is called the volume flow rate Q and has the dimensions of [L][T]. The flow rate of a liquid through a hypodermic needle during an injection can be estimated 60. with the following equation: TR"(P2 – P,) 8nL The length and radius of the needle are L and R, respectively, both of which have the dimension [L]. The pressures at opposite ends of the nee- dle are P, and P,, both of which have the dimensions of [M]/{[L][T]*}. The symbol 7 represents the viscosity of the liquid and has the dimen- sions of [M]/{[L][T]}. The symbol 7 stands for pi and, like the number 8 and the exponent n, has no dimensions. Using dimensional analysis, de- lermine the value of n in the expression for Q.
The gas tank of a car is filled with a nozzle that discharges gasoline at a constant flow rate. Based on unit considerations of quantities, obtain a relation for the filling time in terms of the volume V of the tank (in L) and the discharge rate of gasoline V (in L/s).
The density of aluminum is 2.7g/cm3. An aluminum plate of uniform thickness is 10 cm length, 20cm wide and weigh 0.270kg. How thickness is the aluminum plate? Express you answer in exponential notation with the proper number of significant digits.
Consider a water tank that is being filled with rainfall at the top and is drained through a small hole atthe bottom. The change in volume can be modelled by considering the amount of water entering andleaving the tank (per unit of time) as followsdVdt= fin − fout.Here volume of water in the tank V is in litres, flow rate in fin is in litres per hour, flow rate out fout isin litres per hour and time t is in hours. Initially, the tank contains 50L of water: V (0) = 50.(a) Assume the rainfall throughout the day is getting heavier, such that, fin(t) = 10 + t andthat the tank is losing 10% of its volume of water per hour, such that, fout(V ) = 0.1V . Check bydirect substitution that the functionV (t) = 10(t + 5e−0.1t)satisfies the ODE and the initial condition.Now assume that the hole is slowly growing in size, so that the flow rate out increaseswith time:fout(V, t) = 0.1(1 + 0.1t)V.Solve the ordinary differential equation for V (t) with this flow rate out, using either separation…
The density of ordinary air is 1.19 g/L. What is the mass, in kilograms, of the airin a room that measures 14.5 ft x 16.5 ft x 8.0 ft?(Hint: Density is defined as d= m/v, so you need to find the volume of the roomand solve for the mass in the density equation. Make sure you do the appropriateconversions to carry out your operations. Use the correct number of significantfigures to express your answer).
A cylindrical tank with a large diameter is filled with water to a depth D = 0.273 m. A hole of cross-sectional area A = 5.03 cm² in the bottom of the tank allows water to drain out. (a) What is the rate at which water flows out, in cubic meters per second? (a) Number i Units
kg What is the weight of a cubic meter of cork? (Use 400 m3 for the density of cork.) Give a numerical answer in units of kg.
The erythrocyte sedimentation rate (heaviness) test is often used for a blood sample as a diagnosis of the body's immune disorders and some other diseases. Assuming that the red blood cells are about a sphere of diameter ( 5 um ) and density ( g / ml 1.125 ) and the density and viscosity of the plasma in which the red blood cells are settled (Pa.s), (1025 kg / m3 10-3 x 1.5) respectively The acceleration m / s 9.81 Calculate the rate of sedimentation (settling speed) of red blood cells.
The hydraulic diameter of a rectangular duct is calculated using the equation D = 4, where Dr is the hydraulic diameter, A is the cross-sectional area of the duct and p is the perimeter of the duct. If the dimensions of the rectangular duct are a = 26 cm+0.4 mm, and b = 33 cm +1.3 mm, what is the uncertainty of D, in percentage format? Enter the answer as a numerical value without any sign. Retain 3 significant figures. a
A chemist who wished to verify the density of water constructed a cylindrical container of aluminium 4.500 inches high, whose inside radius measured 0.875 inch.The empty cylinder had a mass of 93.054 g. When filled with water, its mass was 270.064 g. Find the density of water from these data, expressing your result in SI units with the correct precision.