Which one of the following equations is dimensionally homogeneous? Show your proof. F(x, – 4,) =m; -mv; 1 а. 1 b. F 1 c. F(V,-v,)==m; --mx 1 d. F(t, -4)= mV, – mV, where F = force (N) %3D x= distance (m) m= mass (kg) V = velocity (m/s) t = time (s)
Q: Fluid Kinematic Assignment HW; D, =450 mm, D2=300 mm, D3= 225 mm, D4= 150 mm V,=1.8 m/s V3= 3.6 m/s…
A:
Q: A body of dimension 2.0 m x 1.0 m x 3.0 m weighs 3924 N in water. Find its weight in air in N.…
A: Given data, Volume V= 2*1*3=6 m3 Weight in water w= 3924 N
Q: An impeller (axial-flow turbine propeller) in an agitated tank has an output torque (T) whose…
A: Given data Output Torque (T) depends on Volumetric Flow rate(Q), density ( ρ ) rotor diameter (D)…
Q: A rock is attached to the left end of a uniform meter stick that has the same mass as the rock. In…
A: Given data: The mass of the rock and meter stick is m. The total mass of the meter stick act at…
Q: By using application on first order (ODE) 1- Derive the equation of motion in terms of height . 2-…
A: For solution refer below images.
Q: Consider a disc of mass, M with radius 0.5 m on a slope with angle 45 degrees to the horizontal. It…
A:
Q: Which of the following is not an application of the dimensional analysis? A. To find the…
A: following is the explanation for the above question-
Q: To investigate the lateral motion of an engine attached to an aircraft wing in a gravitational…
A: The vibration during the occasional airplane is not usually happening. There are different factors…
Q: Which of the following is/are not a branch of Fluid Mechanics? Select the correct response(s): O…
A: Fluid Mechanics is the branch of science in which the properties of fluid is studied. Hydraulics,…
Q: Determine whether the following equations are dimensionally homogeneous. 2plh? gt 3m p is a force, l…
A:
Q: (iv) Find the angular frequency and period of the motion. (v) If its initial displacement from the…
A:
Q: The life of an automotive component can be modelled by a Weibull distribution. Calculate F(t)
A: Given that, The life of an automotive component can be modelled by a Weibull distribution. i Scale…
Q: A pontoon boat floats on two cylindrical pontoons (assume the ends are flat). Each pontoon is 6m…
A: The weight of the boat is balanced by the buoyancy force acting on both the pontoons when there is…
Q: The force f(t) as seen is applied to a stationary mechanical system, where k =1,036 N/m, b = 1,013…
A:
Q: The force f(t) as seen is applied to a stationary mechanical system, where k=1,100 N/m, b=1,054…
A:
Q: 20 sin(@t) A B D 150 225 225 75 N 50 N K = 2,5 kN/m C= 33 Ns/m
A:
Q: Determine whether the following equations are dimensionally homogeneous.
A:
Q: 3. The equation v,-v= 2as gives the final velocity (v.) of a body which started with an inilial…
A: Given Motion equation Head loss equation To find Dimension prove
Q: In Bourdon Gauge experiment, if the mass of the piston is 340 gr and mass of the platform is 173 gr,…
A:
Q: Illa.3.13 becomes V pV = 0 or alternatively V pV = pỹ .ỹ = 0 . That is to say av, əv, - = 0 . In two…
A: given; ∇.ρV⇀=0that is to say dVxdx+dVydy+dVzdz=0in two dimensional dVxdx+dVydy=0
Q: Use vectors to explain why it is difficult to hold a heavy stack of books perfectly still for a long…
A:
Q: Determine whether the following equations are dimensionally homogeneous. 2ph3 mh + 3t2 f : || f is a…
A: Given equation is f=2ph3l+mh3t2 Here, f is the force, h and l is the velocity, m is a mass, t is a…
Q: Cables of negligible weight support the loading shown. (Figure 1) If W1 = 85.0 N, W2 = 510 N , yB =…
A:
Q: Question S8- How long would it take the plane of oscillatin of Foucault penduum to make one Complete…
A: Oscillation is the to and fro motion of the pendulum about its mean position. now if latitude is θ…
Q: 2,5436346758898651731 2 e T a : Petroleum Engineering / Mechanics of Fluid / Lec -2- Fluid statics/…
A: given; pressure at A=PA pressure at B=PB
Q: give me a differential equation of a second order dynamic system of some pneumatic system, a…
A: Solution: A differential equation for a second order dynamic system with necessary explanation is…
Q: Q2: Derive the differential equation governing the two degree-of-freedom system shown in Figure…
A: Differential Equation An equation of one or more derivatives of the function will be a differential…
Q: The no-slip condition, pressure force is a component of the molecular stress tensor. O A. vanishing…
A: This condition occurs because of the viscosity of the fluid. This condition of the fluid assumes…
Q: The Pitot-static tube illustrated in Figure 1 is used to measure the flow speed in a teaching wind…
A:
Q: Which of the following need NOT be reflected in a sketch when using the Linear Momentum Equation? a.…
A: For part 3Given Dtatala=1.5mspan=9mVa=7.5m/sScale ratio=1/10 ***As per company policy we are…
Q: The dimensional formula of specific volume is given by MT-1 a.true b.false
A: The given statement if false.
Q: In Bourdon Gauge experiment, if the mass of the piston is 340 gr and mass of the platform is 173 gr,…
A: Mass of piston = 340 gr Platform mass = 173 gr Absolute pressure error = 218.9 Pa
Q: list down the derivation of formulas and describe each variable of "Absolute motion analysis"…
A:
Q: Q2: Derive the differential equation governing the two degree-of-freedom system shown in Figure…
A: Differential Equation An equation of one or more derivatives of the function will be a differential…
Q: Two masses connected by a massless string of length I slide without friction on two inclined planes…
A:
Q: Dynamics of rigid bodies * formulas for Curvilinear motion and describe each variable
A: Formulas for Curvilinear motion
Q: Q2: Derive the differential equation governing the two degree-of-freedom system shown in Figure…
A:
Q: An aluminum block (SG-2.5) has a dimension of 0.1 m x 0.1 m x h meters. It is floating in mercury…
A:
Q: Determine whether the following equations are dimensionally homogeneous. f = m· a +c•v+k• x f is a a…
A: Write the dimensions for all the terms given.
Q: b Two masses connected by a massless string of length I slide without friction on two inclined…
A:
Q: The density of the liquid striking the "splitter" of Figure 6.15 is 830 Kg/m. Dėtermine the force…
A: Calculate the area at entry of the pipe. A0=Q0V0=0.1010=0.01 m2
Q: Prove that the pressure at a point is equal in all directions for a fluid at rest with respect to…
A: Pascal's to begin with law states pressure in a liquid is same at all points. Consider a little 3d…
Q: The air bubble formed by explosion inside water perform osillations with time period T which depends…
A:
Q: the viscosity of a liquid having kinematic viscosity 6 stokes and specific gravity 1.6 is - a)8.6…
A:
Q: PROBLEM 2.4 A car travels at 24.0 m/s north for 40.0 min and then shift east and travels at 30.0 m/s…
A: Car's displacement is 6.79 x 104 m.
Q: A car of mass 750 kg moves along a stretch of road which can be modelled as a line greatest slope of…
A: Kinetic Energy is defined as the energy possesed by the body by virtue of its motion. Since, motion…
Q: 1-fluid kinematics studying the parameters of motion with studying forces.
A:
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 9 images
- C1 (a). A lubricating oil having the dynamic viscosity of 0.055 poise and kinematic viscosity of 0.17 stokes. Calculate (i) the density of oil in kg/m3, (ii) the weight density of oil in N/m3,(iii) the specific gravity, and (iv) the specific volume in m3/kg. C1 (b). Calculate the capillary effect in mm in a glass tube of 4.4 mm diameter, when immersed in (1) water (2) mercury. The values of surface tension in contact with air are 0.0737 N/m and 0.54 N/m respectively. The contact angle for water =00 and mercury =1300. (Enter only the values by referring to the unit given. Also, upload the handwritten answers in the link provided) C1(a).(i).The density of oil in kg/m3 C1(a). (ii) the weight density of oil in N/m3 C1(a). (iii) the specific gravity C1(a). (iv) the specific volume in m3/kg C1 (b). 1.The capillary effect (water) in mm C1 (b). 2.The capillary effect (mercury) in mm(1) A simple, vertical U-tube manometer is used to measure the differencebetween two gas pressures.Write down an equation for the pressure difference in terms of the difference inthe level of the fluid in the manometer. Describe briefly, with the help ofdiagrams, two modifications to the basic design which offer greater sensitivity tosmall pressure differences. Give equations for their use. ii) An extractor fan draws air from a room and delivers it to the surroundingsthrough a 5m long circular duct of diameter 0.1m. The friction coefficientfor the duct flow is 0.002. The fan characteristic, relating its total pressurerise, ∆P (Nm-2) to the volume flow rate is: ∆P = 103−7x104Q 2. What is therate of flow through the duct?You may assume that the room and surroundings are both at atmosphericpressure; state and justify any other assumptions you make.For Further Research (Individual) For each of the typesof mechanical observation listed within the chapter(people meters, portable people meters, eye trackingtechnology), condua research online to identify (anddocument) the benefits and limitations of using eachmethod.
- A catheter-sensor system for invasive pressure measurements has a catheter with a length of 1 m and a diameter of 2.5 mm. The catheter is filled with water at 20 C, with viscosity = 0.001 Pa.s and density = 103 kg/m3. The diaphragm elasticity Ed equals 0.5x1015 N/m5. a. Draw the simplified electrical model of the pressure measurement set-up that includes the catheter and the diaphragm and determine the transfer function of the pressure measurement system. b. Compute the natural frequency and damping ratio of this system. c. The current system has a damping ratio that is far from optimal. Suppose you are pinching the catheter for a small length lx so that the catheter diameter reduces to 0.2mm. Assuming the pinch to affect the resistance only, determine the length lx such that an optimal damping ratio = 0.7 is obtained. d. Suppose that the assumption of purely resistive effects of the pinch cannot be made. Discuss (without calculations) the consequences on the derivation of lx.A tentative rule was given about tipping in Testing Experiment Table 8.4, where if a vertical line passing through the object's center of mass is within the object's area of support the object does not tip. According to the rule, the full box of crackers in the following experiment, which has a width of 13 cm and a height of 20 cm, was seen to tip at an angle of: θc=tan−1(13 cm/20 cm)=33∘θ According to the rule, at what angle will a box with the left half filled with crackers begin to tip? Assume the box is light-weight and that the contents remain in the configuration inη =2gr^2(ps−pl)/ 9v State the value of the viscosity and error on the value obtained in your experiments. Youshould show the formula derived for calculating the error on viscosity. pl (density of liquid)= 1294.164 ps ( density of solid sphere)= 8404 kg/m^3 v= 0.0479 +- 1.16x10^-3 m/s r= 0.0024325m error for radius is 1.65 x 10^-3 all values are in si units.
- A- Womersley number (a) of a human aorta is 20 and for the rabbit aorta is 17, the blood density is approximately the same across the species. The values of viscosity were 0.0035 Ns/m² for the human and 0.0040 Ns/m² for the rabbit. The diameter of the aorta is 2.0 cm for the man, and 0.7 cm for the rabbit, estimate the heart rate beats per minute (bpm) for both speciesIf Reynolds number relate the inertial and viscous forces, which of the following relates the inertial andgravitational forces?A. Froude NumberB. Weber NumberC. Galileo NumberD. Eotvos NumberPlease answer only when you are sure and give correct answer Thedensity of an oil at 23°C is 750kg / (m ^ 3) Find its relative density and kinematic viscosity if the dynamic viscosity is 5 * 10 ^ - 3 * kg / m * s .
- 7. Saul ascends from the city of Tucson, Arizona to the top of Kitt Peak, 2900 m above the sea level. Usually, Saul will feel his ears “pop” as the pressure inside his ears attempts to maintain the equilibrium with the surrounding air. However, on this day Saul has cold and his Eustachian tube is clogged, causing a tremendous pressure behind his 4.0×10^(-5) m^2 ear drum. What force does Saul feel pushing on his ears? (D_air=1.20 kg/m^3) a. 0.50 N b. 0.05 N c. 0.12 N d. 0.08 N e. None of the above2.22- What is the gage pressure within a d = 2.0 mm spherical droplet of water? 2.23- Water is at 20 °C and the pressure is lowered until boiling is observed. What is the pressure? from Engineering fluid mechanics 11thTwo pressure sensors are located at the seafloor: one is 100 m and the other is 500 m off the coastline. For a wave train of 10-s period, the pressure sensor closer to the shoreline measures the non-hydrostatic pressure amplitude as 5911 Pa and the other sensor measures the pressure amplitude as 4987 Pa. Given that the wave height is , what is the average bathymetric slope between the two pressure sensors? Take the magnitude of the gravitational acceleration as and the density of the seawater as . (Hint: Assume that the wave height has negligible variation between the two observation points.)