In a lava lamp, a waxy fluid (say ρ= 1225[kg/m3]) is surrounded by another fluid (say...

In a lava lamp, a waxy fluid (say ρ= 1225[kg/m3]) is surrounded by another fluid

(say ρ= 1200[kg/m3]), they are mutually insoluble, and they are heated by a lamp in the

bottom of the apparatus. The densities of these materials are very similar, where the

waxy one is greater at normal room temperature. As the liquids are heated, the waxy

density becomes less than the surrounding fluid and it rises. What is the buoyant force on

a spherical waxy blob, with radius 0.10[m] in the surrounding fluid? What is the force

due to gravity on this blob? When the blob heats and its density becomes 1100[kg/m3],

how much of its volume is submerged? How do the buoyant force and the force due to

gravity compare now?

Expert Solution

This problem will require the formula for buoyant force.

genius_generous answered 6 months ago

q1) Fluid ( ρ = 850 kg/m3; μ = 0.08 Pa.s) flows through a 4-cm diameter...

q1) Fluid ( ρ = 850 kg/m3; μ = 0.08 Pa.s) flows through a 4-cm diameter tube at 0.5 m/s. The Reynolds number of the fluid is q2 ) An oil with ρ= 900 kg/m3 and ν= 2x10-4 m2/s flows upward through an inclined pipe of diameter 4 cm as shown in Fig. 1. The pressures at sections 1 and 2 (L =11.3 m apart) are p1 = 359 kPa and p2 = 201 kPa, respectively. Assuming steady laminar flow,...

Say the density of air is 1.23 kg/m3 and the density of helium is 0.164 kg/m3...

Say the density of air is 1.23 kg/m3 and the density of helium is 0.164 kg/m3 when both are at STP. Let's model a balloon as a sphere of radius 0.12 m, with mass 2 g. 1) What is the mass of the helium that would fill a single balloon? 2) What is the buoyant force on a single balloon? 3) What is the net force on a single balloon? 4) If we attach 0.5 m of string (properties: 800...

Assume the density of air is ρ = 1.21 kg/m3. A 75-kg skydiver descending head first...

Assume the density of air is ρ = 1.21 kg/m3. A 75-kg skydiver descending head first without parachute will have an area approximately A = 0.18 m2 and a drag coefficient of approximately C=0.70. (a) What would be the predicted terminal velocity of this person if falling from very high altitude (high enough to generate terminal velocity). (b) how many meters above the ground the airplane must fly in order for this person to generate that terminal velocity at the...

Uncertainty calculation  I want to determine the air density (ρ, in kg/m3) using the following...

Uncertainty calculation  I want to determine the air density (ρ, in kg/m3) using the following equation. p=(1/R)*(P/T) where P : barometric pressure, in Pa T: temperature, in K R: specific gas constant for dry air, 289.7 J/(kg·K) [assume constant has no uncertainty]  I performed a sample-to-sample experiment with 6 repetitions/samples (n = 6). I got following results: P = 96,389 ± 167 Pa T = 311.8 ± 2.93 K  The tags on the sensors show the barometric...

3.1. Oil with (ρ = 788 kg/m3 and ν=0.00067 m2 is removed to the atmosphere through...

3.1. Oil with (ρ = 788 kg/m3 and ν=0.00067 m2 is removed to the atmosphere through a pipe, 7mm diameter, and 37m long. The pipe is located 3.5m from the top of the oil. If the pipe is build using smooth stainless steel, find the flow rate of the oil and the condition of the flow. 3.2. A water tank is located at the top of the roof with 20°C of water that will be used for showers. The tank...

Water ( ρ= 1000 kg/m3; Cp= 4.2 kJ/kg.K; k= 0.58 W/m.K ) at 1,537 kg/hr and...

Water ( ρ= 1000 kg/m3; Cp= 4.2 kJ/kg.K; k= 0.58 W/m.K ) at 1,537 kg/hr and 26oC enters a 10-mm-diameter smooth tube whose wall temperature is maintained at 79oC. If the water's Nusselt number (Nu) = 375, and the tube length is 7.6, calculate the water outlet temperature,in oC.

Oil, with ρ = 1100 kg/m3 and kinematic coefficient of viscosity ν = 0,00001 m2/s,flows at...

Oil, with ρ = 1100 kg/m3 and kinematic coefficient of viscosity ν = 0,00001 m2/s,flows at qv = 0,2 m3/s through 500 m of 200-mm diameter smooth pipe. Determine (a) the head loss and (b) the pressure drop This question pertains to Fluid Flow in the Chemical Engineering Department. The response is required within 30 minutes

A cylindrical beaker of height 0.100 m and negligible weight is filled to the brim with a fluid of density ρ = 890 kg/m3 . When the beaker is placed on a scale, its weight is measured to be 1.00 N

A cylindrical beaker of height 0.100 m and negligible weight is filled to the brim with a fluid of density ρ = 890 kg/m3 . When the beaker is placed on a scale, its weight is measured to be 1.00 N .(Figure 1) A ball of density ρb = 5000 kg/m3 and volume V = 60.0 cm3 is then submerged in the fluid so that some of the fluid spills over the side of the beaker. The ball is held...

A thick steel slab (ρ= 7800 kg/m3, c= 480 J/kg·K, k= 50 W/m·K) is initially at...

A thick steel slab (ρ= 7800 kg/m3, c= 480 J/kg·K, k= 50 W/m·K) is initially at 300°C and is cooled by water jets impinging on one of its surfaces. The temperature of the water is 25°C, and the jets maintain an extremely large, approximately uniform convection coefficient at the surface. Assuming that the surface is maintained at the temperature of the water throughout the cooling, how long will it take for the temperature to reach 50°C at a distance of...

A 14.6-kN vehicle (CD = 0.30, Af = 2.6 m2, ρ = 1.2356 kg/m3) is driven on a surface with a coefficient of adhesion of 0.4

A 14.6-kN vehicle (CD = 0.30, Af = 2.6 m2, ρ = 1.2356 kg/m3) is driven on a surface with a coefficient of adhesion of 0.4, and the coefficient of rolling friction is approximated as 0.018 for all speeds. Assuming minimum theoretical stopping distances, if the vehicle comes to a stop 82 m after brake application on a level surface and has a braking efficiency of 0.82, what was its initial speed (a) if aerodynamic resistance is considered and...

Question