Bernoulli’s Principle
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360848 Water is flowing at a speed of \(1.5\;m{s^{ - 1}}\) through horizontal tube of cross-sectional area \({10^{ - 2}}\;{m^2}\) and you are trying to stop the flow by your plam. Assuming that the water stops immediately after hitting the plam, the minimum force that you must exert should be (density of water \( = {10^3}kg{m^{ - 3}}\) )

1 \(11.25\;N\)
2 \(22.5\;N\)
3 \(33.7\;N\)
4 \(45\;N\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360849 Water (density \(\rho\) ) is flowing through the uniform tube of cross-sectional area \(A\) with a constant speed \(v\) as shown in the figure. The magnitude of force exerted by the water on the curved corner of the tube is (neglect viscous forces)
supporting img

1 \(2 \rho A v^{2}\)
2 \(\sqrt{3} \rho A v^{2}\)
3 \(\dfrac{\rho A v^{2}}{\sqrt{2}}\)
4 \(\sqrt{2} \rho A v^{2}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360850 A cylinder containing water up to a height of \(25\,\;cm\) has a hole of cross-section \(\frac{1}{4}\;c{m^2}\) in its bottom. It is counterpoised in a balance. What is the initial change in the balancing weight when water begins to flow out?
supporting img

1 \(6.25\,gwt\)
2 \(12.5\,gwt\)
3 \(25\,gwt\)
4 \(16\,gwt\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360851 A rectangular vessel when full of water, takes 10 minutes to be emptied through an orifice in its bottom. How much time will it take to be emptied when half filled with water?

1 9 minutes
2 7 minutes
3 5 minutes
4 3 minutes
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360848 Water is flowing at a speed of \(1.5\;m{s^{ - 1}}\) through horizontal tube of cross-sectional area \({10^{ - 2}}\;{m^2}\) and you are trying to stop the flow by your plam. Assuming that the water stops immediately after hitting the plam, the minimum force that you must exert should be (density of water \( = {10^3}kg{m^{ - 3}}\) )

1 \(11.25\;N\)
2 \(22.5\;N\)
3 \(33.7\;N\)
4 \(45\;N\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360849 Water (density \(\rho\) ) is flowing through the uniform tube of cross-sectional area \(A\) with a constant speed \(v\) as shown in the figure. The magnitude of force exerted by the water on the curved corner of the tube is (neglect viscous forces)
supporting img

1 \(2 \rho A v^{2}\)
2 \(\sqrt{3} \rho A v^{2}\)
3 \(\dfrac{\rho A v^{2}}{\sqrt{2}}\)
4 \(\sqrt{2} \rho A v^{2}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360850 A cylinder containing water up to a height of \(25\,\;cm\) has a hole of cross-section \(\frac{1}{4}\;c{m^2}\) in its bottom. It is counterpoised in a balance. What is the initial change in the balancing weight when water begins to flow out?
supporting img

1 \(6.25\,gwt\)
2 \(12.5\,gwt\)
3 \(25\,gwt\)
4 \(16\,gwt\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360851 A rectangular vessel when full of water, takes 10 minutes to be emptied through an orifice in its bottom. How much time will it take to be emptied when half filled with water?

1 9 minutes
2 7 minutes
3 5 minutes
4 3 minutes
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PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360848 Water is flowing at a speed of \(1.5\;m{s^{ - 1}}\) through horizontal tube of cross-sectional area \({10^{ - 2}}\;{m^2}\) and you are trying to stop the flow by your plam. Assuming that the water stops immediately after hitting the plam, the minimum force that you must exert should be (density of water \( = {10^3}kg{m^{ - 3}}\) )

1 \(11.25\;N\)
2 \(22.5\;N\)
3 \(33.7\;N\)
4 \(45\;N\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360849 Water (density \(\rho\) ) is flowing through the uniform tube of cross-sectional area \(A\) with a constant speed \(v\) as shown in the figure. The magnitude of force exerted by the water on the curved corner of the tube is (neglect viscous forces)
supporting img

1 \(2 \rho A v^{2}\)
2 \(\sqrt{3} \rho A v^{2}\)
3 \(\dfrac{\rho A v^{2}}{\sqrt{2}}\)
4 \(\sqrt{2} \rho A v^{2}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360850 A cylinder containing water up to a height of \(25\,\;cm\) has a hole of cross-section \(\frac{1}{4}\;c{m^2}\) in its bottom. It is counterpoised in a balance. What is the initial change in the balancing weight when water begins to flow out?
supporting img

1 \(6.25\,gwt\)
2 \(12.5\,gwt\)
3 \(25\,gwt\)
4 \(16\,gwt\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360851 A rectangular vessel when full of water, takes 10 minutes to be emptied through an orifice in its bottom. How much time will it take to be emptied when half filled with water?

1 9 minutes
2 7 minutes
3 5 minutes
4 3 minutes
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360848 Water is flowing at a speed of \(1.5\;m{s^{ - 1}}\) through horizontal tube of cross-sectional area \({10^{ - 2}}\;{m^2}\) and you are trying to stop the flow by your plam. Assuming that the water stops immediately after hitting the plam, the minimum force that you must exert should be (density of water \( = {10^3}kg{m^{ - 3}}\) )

1 \(11.25\;N\)
2 \(22.5\;N\)
3 \(33.7\;N\)
4 \(45\;N\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360849 Water (density \(\rho\) ) is flowing through the uniform tube of cross-sectional area \(A\) with a constant speed \(v\) as shown in the figure. The magnitude of force exerted by the water on the curved corner of the tube is (neglect viscous forces)
supporting img

1 \(2 \rho A v^{2}\)
2 \(\sqrt{3} \rho A v^{2}\)
3 \(\dfrac{\rho A v^{2}}{\sqrt{2}}\)
4 \(\sqrt{2} \rho A v^{2}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360850 A cylinder containing water up to a height of \(25\,\;cm\) has a hole of cross-section \(\frac{1}{4}\;c{m^2}\) in its bottom. It is counterpoised in a balance. What is the initial change in the balancing weight when water begins to flow out?
supporting img

1 \(6.25\,gwt\)
2 \(12.5\,gwt\)
3 \(25\,gwt\)
4 \(16\,gwt\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360851 A rectangular vessel when full of water, takes 10 minutes to be emptied through an orifice in its bottom. How much time will it take to be emptied when half filled with water?

1 9 minutes
2 7 minutes
3 5 minutes
4 3 minutes