A cylindrical gate (3/4 cylinder) 1 ? in diameter and 2 ? long separates 3 compartments containing 3 different fluids. Determine:
a) The resulting horizontal force (??).
b) The resulting vertical force (??).
Homework Answers
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A cylindrical gate (3/4 cylinder) 1 ? in diameter and 2 ? long
separates 3 compartments...
In the figure, the AB gate 3,464 long and 2m wide (perpendicular to the paper) separates...
In the figure, the AB gate 3,464 long and 2m wide (perpendicular
to the paper) separates 2 compartments. The piston weighs 20 KN and
its area is 1 m2, determine F (in KN) so that the system
is in equilibrium.
DR= Relative density
F 20 kPa I 15 GAS T 2.5 DR = 0.6 2.4 DR = 1.5 E 1.5 DR = 0.8 DR = 2 3 DR = 1 1.5 t 1.1 DR = 1.2
a closed horizontal cylindrical tank 1.5m in diameter and 4 m long and filled with a...
a closed horizontal cylindrical tank 1.5m in diameter and 4 m long and filled with a gasoline, of specific gravity 0.2 and accelerated horizontally at 3m/s2, find the total force acting on the front wall and rear wall
Problem 3 A gate, in the shape of a quarter-cylinder with a radius of 2.7 m,...
Problem 3 A gate, in the shape of a quarter-cylinder with a radius of 2.7 m, is hinged at A and scaled at B, as shown in the figure. The gate is 8 m wide. The bottom of the gate is 5 m below the water surface. Assume the water temperature is 20°C (a) Determine the magnitude and direction of the resultant force on the gate. (b) If the gate is made of a material with a density of 6400...
Example The 4-m-diameter circular gate of the- figure is located in the inclined wall of a...
Example The 4-m-diameter circular gate of the- figure is located in the inclined wall of a large reservoir containing water (y 9.80 kN/m3 gp along its horizontal diameter, and the water depth is 10 m at the shaft. 60° ). The gate is mounted on a shaft O Determine: Cb) the magnitude and location of the resultant A Center of pressure force exerted on the gate by the water the moment that would have to be applied to the shaft...
A 1-m-diameter cylindrical mass, M, is connected to a 2-m wide rectangular gate as shown in...
A 1-m-diameter cylindrical mass, M, is connected to a 2-m wide rectangular gate as shown in the figure. The gate is to open when the water level, h, drops below 2.0 m. Determine the required value for M. Neglect friction at the gate hinge and the pulley. 4m Water -1-m- diameter im
In the crest gate in a dam shown, surface AB forms the arc of a circle of 3 m radius subtending 5 at the hinge. The gate is 3 m long with water surface at B. Compute the amount and location of t...
In the crest gate in a dam shown, surface AB forms the arc of a circle of 3 m radius subtending 5 at the hinge. The gate is 3 m long with water surface at B. Compute the amount and location of the horizontal and vertical components of the total hydrostatic force on AB. Determine also the amount and direction of their resultant. 2. 2 m 3
In the crest gate in a dam shown, surface AB forms the arc...
1. Old MacDonald had a farm, and on that farm he had a gate (see below)....
1. Old MacDonald had a farm, and on that farm he had a gate (see below). The gate is 3m wide and 1.8m high, with hinges attached to the top and bottom. The guy wire makes 200 N. The mass of the gate is 32kg. 30.0° 1.80 m 3.00 m (a) Determine the horizontal force exerted on the gate by the bottom hinge. (b) Find the horizontal force exerted on the gate by the upper hinge. (c) Determine the combined...
A 3-m diameter roller gate retains water on both sides of a dam crest as shown below. Axes (x,y) are given in the diagram to indicate the convention for positive values. The origin of your coordinate...
A 3-m diameter roller gate retains water on both sides of a dam crest as shown below. Axes (x,y) are given in the diagram to indicate the convention for positive values. The origin of your coordinate system (O) is at the base of the roller gate where it contacts the dam. Indicate direction of Forces either with an arrow, writing the direction (ie. Right/left or up/down) or +/- sign indicating what way is positive based on the axes definition given....
length L = 3 m, width b = 4 The gate creates an angle on 30°...
length L = 3 m, width b = 4 The gate creates an angle on 30° horizontal. It is assumed that the gate can rotate as a stiff system without friction around A. Movable mass on the gate M = 5000 kg in the distance x from B Gate mass m = 6000 kg Density of water = 997 kg/m^3 Gravitational acceleration = 9,81 m/s^2 L = 3 m 0 = 30° Water M a) Find the distance x so...
1. Old MacDonald had a farm, and on that farm he had a gate (see below)....
1. Old MacDonald had a farm, and on that farm he had a gate (see below). The gate is 3m wide and 1.8m high, with hinges attached to the top and bottom. The guy wire makes an angle of 30° with the top of the gate and is tightened by a turn buckle to a tension of 200 N. The mass of the gate is 32kg. 30.0° 1.80 m 3.00 m (a) Determine the horizontal force exerted on the gate...
In the figure, the AB gate 3,464 long and 2m wide (perpendicular
to the paper) separates 2 compartments. The piston weighs 20 KN and
its area is 1 m2, determine F (in KN) so that the system
is in equilibrium.
DR= Relative density
F 20 kPa I 15 GAS T 2.5 DR = 0.6 2.4 DR = 1.5 E 1.5 DR = 0.8 DR = 2 3 DR = 1 1.5 t 1.1 DR = 1.2
Problem 3 A gate, in the shape of a quarter-cylinder with a radius of 2.7 m, is hinged at A and scaled at B, as shown in the figure. The gate is 8 m wide. The bottom of the gate is 5 m below the water surface. Assume the water temperature is 20°C (a) Determine the magnitude and direction of the resultant force on the gate. (b) If the gate is made of a material with a density of 6400...
Example The 4-m-diameter circular gate of the- figure is located in the inclined wall of a large reservoir containing water (y 9.80 kN/m3 gp along its horizontal diameter, and the water depth is 10 m at the shaft. 60° ). The gate is mounted on a shaft O Determine: Cb) the magnitude and location of the resultant A Center of pressure force exerted on the gate by the water the moment that would have to be applied to the shaft...
A 1-m-diameter cylindrical mass, M, is connected to a 2-m wide rectangular gate as shown in the figure. The gate is to open when the water level, h, drops below 2.0 m. Determine the required value for M. Neglect friction at the gate hinge and the pulley. 4m Water -1-m- diameter im
In the crest gate in a dam shown, surface AB forms the arc of a circle of 3 m radius subtending 5 at the hinge. The gate is 3 m long with water surface at B. Compute the amount and location of the horizontal and vertical components of the total hydrostatic force on AB. Determine also the amount and direction of their resultant. 2. 2 m 3
In the crest gate in a dam shown, surface AB forms the arc...
1. Old MacDonald had a farm, and on that farm he had a gate (see below). The gate is 3m wide and 1.8m high, with hinges attached to the top and bottom. The guy wire makes 200 N. The mass of the gate is 32kg. 30.0° 1.80 m 3.00 m (a) Determine the horizontal force exerted on the gate by the bottom hinge. (b) Find the horizontal force exerted on the gate by the upper hinge. (c) Determine the combined...
A 3-m diameter roller gate retains water on both sides of a dam crest as shown below. Axes (x,y) are given in the diagram to indicate the convention for positive values. The origin of your coordinate system (O) is at the base of the roller gate where it contacts the dam. Indicate direction of Forces either with an arrow, writing the direction (ie. Right/left or up/down) or +/- sign indicating what way is positive based on the axes definition given....
length L = 3 m, width b = 4 The gate creates an angle on 30° horizontal. It is assumed that the gate can rotate as a stiff system without friction around A. Movable mass on the gate M = 5000 kg in the distance x from B Gate mass m = 6000 kg Density of water = 997 kg/m^3 Gravitational acceleration = 9,81 m/s^2 L = 3 m 0 = 30° Water M a) Find the distance x so...
1. Old MacDonald had a farm, and on that farm he had a gate (see below). The gate is 3m wide and 1.8m high, with hinges attached to the top and bottom. The guy wire makes an angle of 30° with the top of the gate and is tightened by a turn buckle to a tension of 200 N. The mass of the gate is 32kg. 30.0° 1.80 m 3.00 m (a) Determine the horizontal force exerted on the gate...
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