Physics equations/12-Fluid dynamics/Q:pipeDiameterChange/testbank

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a12fluidDynamics_pipeDiameter_v1[edit]

A 8.3 cm diameter pipe can fill a 1.7 m^3 volume in 6.0 minutes. Before exiting the pipe, the diameter is reduced to 3.0 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

a) 7.20E-1 m/s
b) 8.73E-1 m/s
c) 1.06E0 m/s
d) 1.28E0 m/s
e) 1.55E0 m/s

copies
===2===
{<!--a12fluidDynamics_pipeDiameter_1-->A 9.4 cm diameter pipe can fill a 2.2 m^3 volume in 5.0 minutes. Before exiting the pipe, the diameter is reduced to 3.1 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?}
-a) 5.94E-1 m/s
-b) 7.20E-1 m/s
-c) 8.72E-1 m/s
+d) 1.06E0 m/s
-e) 1.28E0 m/s
===3===
{<!--a12fluidDynamics_pipeDiameter_1-->A 9.7 cm diameter pipe can fill a 1.2 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.3 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?}
-a) 4.61E-1 m/s
-b) 5.58E-1 m/s
+c) 6.77E-1 m/s
-d) 8.20E-1 m/s
-e) 9.93E-1 m/s
===4===
{<!--a12fluidDynamics_pipeDiameter_1-->A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?}
+a) 5.01E-1 m/s
-b) 6.08E-1 m/s
-c) 7.36E-1 m/s
-d) 8.92E-1 m/s
-e) 1.08E0 m/s
===5===
{<!--a12fluidDynamics_pipeDiameter_1-->A 6.4 cm diameter pipe can fill a 1.8 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 3.7 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?}
-a) 7.94E-1 m/s
-b) 9.62E-1 m/s
+c) 1.17E0 m/s
-d) 1.41E0 m/s
-e) 1.71E0 m/s
===6===
{<!--a12fluidDynamics_pipeDiameter_1-->A 6.4 cm diameter pipe can fill a 1.6 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?}
+a) 2.07E0 m/s
-b) 2.51E0 m/s
-c) 3.04E0 m/s
-d) 3.69E0 m/s
-e) 4.46E0 m/s
===7===
{<!--a12fluidDynamics_pipeDiameter_1-->A 9.4 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?}
-a) 2.89E-1 m/s
-b) 3.51E-1 m/s
-c) 4.25E-1 m/s
+d) 5.15E-1 m/s
-e) 6.23E-1 m/s
===8===
{<!--a12fluidDynamics_pipeDiameter_1-->A 6.5 cm diameter pipe can fill a 1.8 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?}
-a) 1.27E0 m/s
-b) 1.54E0 m/s
-c) 1.87E0 m/s
+d) 2.26E0 m/s
-e) 2.74E0 m/s
===9===
{<!--a12fluidDynamics_pipeDiameter_1-->A 6.7 cm diameter pipe can fill a 2.2 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?}
-a) 8.86E-1 m/s
-b) 1.07E0 m/s
+c) 1.30E0 m/s
-d) 1.57E0 m/s
-e) 1.91E0 m/s
===10===
{<!--a12fluidDynamics_pipeDiameter_1-->A 6.3 cm diameter pipe can fill a 1.4 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?}
-a) 7.72E-1 m/s
+b) 9.36E-1 m/s
-c) 1.13E0 m/s
-d) 1.37E0 m/s
-e) 1.66E0 m/s
===11===
{<!--a12fluidDynamics_pipeDiameter_1-->A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?}
+a) 1.14E0 m/s
-b) 1.38E0 m/s
-c) 1.67E0 m/s
-d) 2.02E0 m/s
-e) 2.45E0 m/s
===12===
{<!--a12fluidDynamics_pipeDiameter_1-->A 7.9 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 2.7 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?}
-a) 6.01E-1 m/s
+b) 7.29E-1 m/s
-c) 8.83E-1 m/s
-d) 1.07E0 m/s
-e) 1.30E0 m/s

a12fluidDynamics_pipeDiameter_v1[edit]

A 8.3 cm diameter pipe can fill a 1.7 m^3 volume in 6.0 minutes. Before exiting the pipe, the diameter is reduced to 3.0 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

a) 1.81E4
b) 2.19E4
c) 2.66E4
d) 3.22E4
e) 3.90E4

copies
===2===
{<!--a12fluidDynamics_pipeDiameter_2-->A 9.4 cm diameter pipe can fill a 2.2 m^3 volume in 5.0 minutes. Before exiting the pipe, the diameter is reduced to 3.1 cm (with no loss of flow rate). What is the pressure difference (in Pascals)  between the two regions of the pipe?}
-a) 3.85E4
+b) 4.66E4
-c) 5.65E4
-d) 6.85E4
-e) 8.29E4
===3===
{<!--a12fluidDynamics_pipeDiameter_2-->A 9.7 cm diameter pipe can fill a 1.2 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.3 cm (with no loss of flow rate). What is the pressure difference (in Pascals)  between the two regions of the pipe?}
+a) 5.70E3
-b) 6.90E3
-c) 8.36E3
-d) 1.01E4
-e) 1.23E4
===4===
{<!--a12fluidDynamics_pipeDiameter_2-->A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). What is the pressure difference (in Pascals)  between the two regions of the pipe?}
-a) 1.91E3
-b) 2.31E3
-c) 2.80E3
+d) 3.39E3
-e) 4.11E3
===5===
{<!--a12fluidDynamics_pipeDiameter_2-->A 6.4 cm diameter pipe can fill a 1.8 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 3.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals)  between the two regions of the pipe?}
-a) 3.04E3
-b) 3.68E3
-c) 4.46E3
+d) 5.40E3
-e) 6.55E3
===6===
{<!--a12fluidDynamics_pipeDiameter_2-->A 6.4 cm diameter pipe can fill a 1.6 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). What is the pressure difference (in Pascals)  between the two regions of the pipe?}
+a) 4.64E3
-b) 5.62E3
-c) 6.81E3
-d) 8.25E3
-e) 9.99E3
===7===
{<!--a12fluidDynamics_pipeDiameter_2-->A 9.4 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals)  between the two regions of the pipe?}
+a) 1.24E5
-b) 1.50E5
-c) 1.82E5
-d) 2.20E5
-e) 2.66E5
===8===
{<!--a12fluidDynamics_pipeDiameter_2-->A 6.5 cm diameter pipe can fill a 1.8 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). What is the pressure difference (in Pascals)  between the two regions of the pipe?}
+a) 1.60E5
-b) 1.94E5
-c) 2.35E5
-d) 2.85E5
-e) 3.46E5
===9===
{<!--a12fluidDynamics_pipeDiameter_2-->A 6.7 cm diameter pipe can fill a 2.2 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). What is the pressure difference (in Pascals)  between the two regions of the pipe?}
+a) 6.00E4
-b) 7.27E4
-c) 8.81E4
-d) 1.07E5
-e) 1.29E5
===10===
{<!--a12fluidDynamics_pipeDiameter_2-->A 6.3 cm diameter pipe can fill a 1.4 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). What is the pressure difference (in Pascals)  between the two regions of the pipe?}
-a) 4.84E2
-b) 5.87E2
-c) 7.11E2
+d) 8.61E2
-e) 1.04E3
===11===
{<!--a12fluidDynamics_pipeDiameter_2-->A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals)  between the two regions of the pipe?}
-a) 1.26E5
-b) 1.53E5
+c) 1.85E5
-d) 2.24E5
-e) 2.72E5
===12===
{<!--a12fluidDynamics_pipeDiameter_2-->A 7.9 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 2.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals)  between the two regions of the pipe?}
-a) 1.08E4
-b) 1.31E4
-c) 1.58E4
+d) 1.92E4
-e) 2.32E4

a12fluidDynamics_pipeDiameter_v1[edit]

A 8.3 cm diameter pipe can fill a 1.7 m^3 volume in 6.0 minutes. Before exiting the pipe, the diameter is reduced to 3.0 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 19.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

a) 1.45E2 mm
b) 1.76E2 mm
c) 2.13E2 mm
d) 2.59E2 mm
e) 3.13E2 mm

copies
===2===
{<!--a12fluidDynamics_pipeDiameter_3-->A 9.4 cm diameter pipe can fill a 2.2 m^3 volume in 5.0 minutes. Before exiting the pipe, the diameter is reduced to 3.1 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 21.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?}
-a) 1.59E2 mm
+b) 1.93E2 mm
-c) 2.34E2 mm
-d) 2.83E2 mm
-e) 3.43E2 mm
===3===
{<!--a12fluidDynamics_pipeDiameter_3-->A 9.7 cm diameter pipe can fill a 1.2 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.3 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 22.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?}
-a) 6.30E1 mm
-b) 7.63E1 mm
-c) 9.24E1 mm
+d) 1.12E2 mm
-e) 1.36E2 mm
===4===
{<!--a12fluidDynamics_pipeDiameter_3-->A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 34.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?}
-a) 1.23E2 mm
-b) 1.48E2 mm
+c) 1.80E2 mm
-d) 2.18E2 mm
-e) 2.64E2 mm
===5===
{<!--a12fluidDynamics_pipeDiameter_3-->A 6.4 cm diameter pipe can fill a 1.8 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 3.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 18.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?}
-a) 4.45E1 mm
+b) 5.39E1 mm
-c) 6.52E1 mm
-d) 7.90E1 mm
-e) 9.58E1 mm
===6===
{<!--a12fluidDynamics_pipeDiameter_3-->A 6.4 cm diameter pipe can fill a 1.6 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 28.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?}
-a) 2.80E1 mm
-b) 3.39E1 mm
-c) 4.11E1 mm
+d) 4.98E1 mm
-e) 6.03E1 mm
===7===
{<!--a12fluidDynamics_pipeDiameter_3-->A 9.4 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 37.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?}
-a) 9.34E2 mm
+b) 1.13E3 mm
-c) 1.37E3 mm
-d) 1.66E3 mm
-e) 2.01E3 mm
===8===
{<!--a12fluidDynamics_pipeDiameter_3-->A 6.5 cm diameter pipe can fill a 1.8 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 30.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?}
-a) 1.63E2 mm
-b) 1.98E2 mm
+c) 2.40E2 mm
-d) 2.90E2 mm
-e) 3.52E2 mm
===9===
{<!--a12fluidDynamics_pipeDiameter_3-->A 6.7 cm diameter pipe can fill a 2.2 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 16.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?}
-a) 9.25E1 mm
-b) 1.12E2 mm
+c) 1.36E2 mm
-d) 1.64E2 mm
-e) 1.99E2 mm
===10===
{<!--a12fluidDynamics_pipeDiameter_3-->A 6.3 cm diameter pipe can fill a 1.4 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 32.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?}
-a) 3.10E1 mm
-b) 3.76E1 mm
-c) 4.55E1 mm
+d) 5.51E1 mm
-e) 6.68E1 mm
===11===
{<!--a12fluidDynamics_pipeDiameter_3-->A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 29.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?}
-a) 4.06E2 mm
+b) 4.92E2 mm
-c) 5.96E2 mm
-d) 7.22E2 mm
-e) 8.74E2 mm
===12===
{<!--a12fluidDynamics_pipeDiameter_3-->A 7.9 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 2.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 28.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?}
-a) 1.35E2 mm
-b) 1.63E2 mm
-c) 1.98E2 mm
+d) 2.40E2 mm
-e) 2.90E2 mm

a12fluidDynamics_pipeDiameter_v1[edit]

A large cylinder is filled with water so that the bottom is 7.8 m below the waterline. At the bottom is a small hole with a diameter of 5.4E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

a) 8.42E0 m/s
b) 1.02E1 m/s
c) 1.24E1 m/s
d) 1.50E1 m/s
e) 1.81E1 m/s

copies
===2===
{<!--a12fluidDynamics_pipeDiameter_4-->A large cylinder is filled with water  so that the bottom is 8.6 m below the waterline. At the bottom is a small hole with a diameter of  9.1E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)}
+a) 1.30E1 m/s
-b) 1.57E1 m/s
-c) 1.91E1 m/s
-d) 2.31E1 m/s
-e) 2.80E1 m/s
===3===
{<!--a12fluidDynamics_pipeDiameter_4-->A large cylinder is filled with water  so that the bottom is 8.8 m below the waterline. At the bottom is a small hole with a diameter of  6.3E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)}
-a) 1.08E1 m/s
+b) 1.31E1 m/s
-c) 1.59E1 m/s
-d) 1.93E1 m/s
-e) 2.34E1 m/s
===4===
{<!--a12fluidDynamics_pipeDiameter_4-->A large cylinder is filled with water  so that the bottom is 8.0 m below the waterline. At the bottom is a small hole with a diameter of  9.1E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)}
-a) 7.04E0 m/s
-b) 8.53E0 m/s
-c) 1.03E1 m/s
+d) 1.25E1 m/s
-e) 1.52E1 m/s
===5===
{<!--a12fluidDynamics_pipeDiameter_4-->A large cylinder is filled with water  so that the bottom is 7.0 m below the waterline. At the bottom is a small hole with a diameter of  7.8E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)}
-a) 7.98E0 m/s
-b) 9.67E0 m/s
+c) 1.17E1 m/s
-d) 1.42E1 m/s
-e) 1.72E1 m/s
===6===
{<!--a12fluidDynamics_pipeDiameter_4-->A large cylinder is filled with water  so that the bottom is 7.0 m below the waterline. At the bottom is a small hole with a diameter of  8.2E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)}
-a) 7.98E0 m/s
-b) 9.67E0 m/s
+c) 1.17E1 m/s
-d) 1.42E1 m/s
-e) 1.72E1 m/s
===7===
{<!--a12fluidDynamics_pipeDiameter_4-->A large cylinder is filled with water  so that the bottom is 5.7 m below the waterline. At the bottom is a small hole with a diameter of  5.7E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)}
-a) 5.94E0 m/s
-b) 7.20E0 m/s
-c) 8.72E0 m/s
+d) 1.06E1 m/s
-e) 1.28E1 m/s
===8===
{<!--a12fluidDynamics_pipeDiameter_4-->A large cylinder is filled with water  so that the bottom is 6.8 m below the waterline. At the bottom is a small hole with a diameter of  7.4E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)}
-a) 9.53E0 m/s
+b) 1.15E1 m/s
-c) 1.40E1 m/s
-d) 1.69E1 m/s
-e) 2.05E1 m/s
===9===
{<!--a12fluidDynamics_pipeDiameter_4-->A large cylinder is filled with water  so that the bottom is 6.4 m below the waterline. At the bottom is a small hole with a diameter of  9.7E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)}
-a) 9.24E0 m/s
+b) 1.12E1 m/s
-c) 1.36E1 m/s
-d) 1.64E1 m/s
-e) 1.99E1 m/s
===10===
{<!--a12fluidDynamics_pipeDiameter_4-->A large cylinder is filled with water  so that the bottom is 8.9 m below the waterline. At the bottom is a small hole with a diameter of  7.6E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)}
-a) 1.09E1 m/s
+b) 1.32E1 m/s
-c) 1.60E1 m/s
-d) 1.94E1 m/s
-e) 2.35E1 m/s
===11===
{<!--a12fluidDynamics_pipeDiameter_4-->A large cylinder is filled with water  so that the bottom is 5.4 m below the waterline. At the bottom is a small hole with a diameter of  9.6E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)}
-a) 7.01E0 m/s
-b) 8.49E0 m/s
+c) 1.03E1 m/s
-d) 1.25E1 m/s
-e) 1.51E1 m/s
===12===
{<!--a12fluidDynamics_pipeDiameter_4-->A large cylinder is filled with water  so that the bottom is 7.8 m below the waterline. At the bottom is a small hole with a diameter of  5.4E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)}
-a) 8.42E0 m/s
-b) 1.02E1 m/s
+c) 1.24E1 m/s
-d) 1.50E1 m/s
-e) 1.81E1 m/s