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Physics problems: fluids and elasticity

Part 1

 

Problem 1.

A cylindrical vessel of radius 0.1 meter is filled with water to a height of 0.5 meter. It has a capillary tube 0.15 meter long and 0.0002 meter radius fixed horizontally at its bottom. Find the time in which the water level will fall to a height of 0.2 meter.

Solution

 

Problem 2.

Calculate the amount of energy needed to break a drop of water of diameter 0.001 meter into 1000000 droplets of equal sizes. The surface tension of water is 0.0072 N/m.

Solution

 

Problem 3.

A force F is applied on a square plate of side L. If the percentage error in determination of L is 3% and that in F is 4% what is the permissible error in pressure?

Solution

 

Problem 4.

(Physics for scientists and engineers - Serway and Jewett - Chapter 12 - Problem 31)

A walkway suspended across a hotel lobby is supported at numerous points along its edges by a vertical cable above each point and a vertical column underneath. The steel cable is 1.27 cm in diameter and is 5.75 m long before loading. The aluminum column is a hollow cylinder with an inside diameter of 16.14 cm, an outside diameter of 16.24 cm, and unloaded length of 3.25 m. When the walkway exerts a load force of 8500 N  on one of the support points, how much does the point move down?

Solution

 

 

 

Problem 5.

A hollow plastic sphere of radius 3.5 cm is lowered below the surface of water reservoir by a rope. Calculate the buoyant force exerted by the water on the sphere.

Solution

 

Problem 6.

A hollow plastic sphere of radius 3.5 cm is lowered below the surface of water reservoir by a rope of tension 1.5 N anchored above it. Calculate the percentage of the sphere volume above the water surface, if the rope breaks and the sphere rises to the surface coming to rest.

Solution

 

 

 

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