6. A boat having a mass of 80 Mg rests on the bottom of the lake and displaces 10.25 m3 of water. Since the lifting capacity of the crane is only 600 kN, two balloons are attached to the sides of the boat and filled with air. Determine the smallest radius r of each spherical balloon that is needed to lift the boat. What is the mass of air in each balloon if the air and water temperature is 12°C? The balloons are at an average depth of 20 m. Neglect the mass of the air and the balloon. (HW) 600 KN

Q: A 2 m wide tank contains water upto a height of 0.50 m above its base. An immiscible liquid of…

A:

Q: A boat having a mass of 80 Mg rests on the bottom of the lake and displaces 11.25 m³ of water. Since…

A:

Q: A floating house will be projected as shown in the figure. The basement of the house will be in the…

A: please find attached solution below. in above question basement size considered is 10m*10m*2m.

Q: A wooden cylinder of sp. gravity 0.6 and diameter 0.4 m is required to float in an oil of sp.…

A:

Q: A rectangular box is floated. Outer dimensions 2m by 10m and has 2m high sides and weighs 4.9N. It…

A:

Q: A boat having a mass of 80 Mg rests on the bottom of the lake and displaces 11.25 m³ of water. Since…

A: Given  Density of water = 1000 kg/m3  F=540 KN  Volume displaced by Boat= 11.25 m3

Q: You are operating a hydroelectric plant and want to maximize the energy production of the plant.…

A: To solve for the maximum height of water before the dam tips over i.e. overturned by the hydrostatic…

Q: Think about what happens to the volume of an air-filled balloon on top of water and beneath the…

A: This question is related to the Fluid Mechanics from the civil engineering. This is subjected to…

Q: Buoyancy 4Q. A balloon uses hot air to provide its lifting capability. Prior to its release it is…

A: weight= 2000 lb diameter= 60ft radius = 30 ft specific weight (hot air) = 0.040 lb/ft3 specific…

Q: 10. Submarines use principle of 'neutral buoyancy' to go into the water. a) True b) False

A:

Q: The hot-air balloon contains air having a weight of 0.00193slugs/ft3, while the surrounding air…

A:

Q: FIGURE 3-100E A crane is used to lower weights into a lake for an underwater construction project.…

A:

Q: Problem 6. (30pts) A spherical balloon of diameter 20cm is filled with water (p=1000kg/m³, K=2GPa).…

A: The objective of the question is to find out how deep the balloon must be lowered into the ocean to…

Q: a hollow cylinder 1.53-m. in diameter and weighs 3882 Newton. lead weighing 116 kN/cu.m will be…

A: Weight of displaced water=weight of object  Specific weight of water x displaced volume of water=…

Q: A cylindrical water tank used to lift water to the top of a tower is 2.0 m high. If the pressure at…

A: Depth of water (h) = 2 mPressure at the bottom of tank (P) = 25 KPaFind the  vertical acceleration…

Q: A family of four spends the summer vacation in Britania Group of Islands. They ride on a pump boat,…

A:

Q: Consider two tanks filled with water. The first tank is 8 m high and is stationary, while the second…

A: h1= 8m h2= 2m acceleration of second tank = 5m/s2   Below are some statement and it is asked in the…

Q: 3-98 The hull of a ba bo total mass of the boat how much load this boa

A: Given Volume = 180m3 Weight of boat = 8560 kg Load(W) =?

Q: A tank in a form of a right circular cone 2m in diameter at the bottom, 4m in diameter at the top…

A: Given  Cone : R = 4m , r= 4m , h = 4m ,c =0.6 In the formula  a0 = area of orifice  a1 = area of…

Q: 3-ft long Unknown submerged depth 0.5-ft diameter

A: here the cylinder is partially submerged in water relation between density and specific weight…

Q: A family of four spends the summer vacation in Britania Group of Islands. They ride on a pump boat,…

A:

Q: In a hydraulic lift, the radii of the pistons are 2.65 cm and 10.0 cm. A car weighing W= 10.0 kN is…

A: This question is related to the Fluid Mechanics.

Q: A boat having a mass of 80 Mg rests on the bottom of the lake and displaces 11.25 m³ of water. Since…

A:

Q: If each pulley has a mass of 5 kg, what is the mass "M" that will hold the system in equilibrium?…

A: solution  we can solve by drawing free body diagrams of each pulley  Note : The tension along on…

Q: A cylindrical vessel 15 cm diameter and 40 cm long is completely filled with water. The vessel is…

A:

Q: A cone with a height of 1.5m and a diameter of 500mm is filled with a liquid that weighs 0.8 KN.…

A:

Q: Part A Determine the smallest radius r of each spherical balloon that is needed to lift the boat.…

A: Given : To find : rmin  and m ?

Q: A 2 m diameter cylinder rotates at 1800 rpm in an air stream (p=1226 kg/m³) of 25 m/sec. Estimate…

A:

Q: A child playing in the pool is using a cylindrical can as a boat for his toy soldiers. The can…

A:

Q: Find the volume of water displaced and position of center of buoyancy for a wooden block of width…

A:

Q: 6. Consider an empty river cargo barge which weighs 60 metric tons. The dimensions of the barge are…

A: Wb = 60 metric tonsWc = 180 metric tonsW = 10 m L = 25 m H = 3 m

Q: A hollow vessel in the shape of a paraboloid of revolution floats in fresh water with its axis…

A:

Q: A cargo truck with a weight of 494 kN was raised using a hydraulic press. If oil acts on a piston…

A: Given = cargo Truck of 494KN was raised using hydraulic press.  oil acts on piston  piston diameter…

Q: A rectangular gate 1.4 m in base and 1.8 m high is placed on the face of the water reservoir, as…

A: given data b=1.4m h=1.8m m=20kg D=2m m(gate)=50kg H=4m BC=AC=1.8/2=0.9m so x=BCsin40…

Q: The hydraulic lift for an automobile is shown below. The diameter of the small piston is 60 mm. It…

A: Introduction- Pascal's principle Pascal's principle (also known as the principle of fluid-pressure…

Q: A hollow vessel in the shape of paraboloid of revolution floats in fresh water with its axis…

A:

Q: A tank in a form of a right circular cone 2.5m in diameter at the bottom, 4m in diameter at the top…

A: What dimensions of the square orifice is required to empty the tank in 10.5mins,a=?

Q: 4Q. A balloon uses hot air to provide its lifting capability. Prior to its release it is tethered to…

A: Given: 1. Buoyancy force =FB2. Weight of hot air=Wa3. Weight of materialWmaterial=W=2000lb4.…

Q: In a hydraulic lift, the radil of the pistons are 1.46 cm and 10.0 cm. A car weighing W=10.0 kN is…

A: According to pascal's law pressure applied at any location in enclosed fluid will be transmitted…

Unit Conversion

Standard units are also called SI units. SI units are used for measuring a physical quantity satisfying certain conditions. There are two types of units: fundamental units and derived units. Fundamental units are physical quantities that are independent, that is, they do not depend on other quantities like mass, length, or time. There are plenty of quantities in our lives which need to be measured and compared. Measuring is the comparison of a particular physical quantity with its reference value. A unit is a measure of a fixed physical quantity. A physical quantity is the product of a unit and the numerical value we need to compare with.