MICROPHYSCI KIT SAMPLE EXPERIMENT:

MicroPhySci Kit Experiment #11

11. BUOYANCY

Not included in the kit: thread

GOALS
1. To become familiar with buoyancy.
2. To measure the buoyant force on several objects.

BACKGROUND
We have all seen a boat floating on water. The boat floats because the water is pushing up on the boat. This upward force is a buoyant force and in this case is equal but opposite to the weight of the boat.

In Experiment 2 you learned that when an object is placed in water, the water will be pushed aside or displaced. It takes a force to push the water aside (displace the water). This force is equal to the buoyant force. This illustrates Archimedes’ principle that states:
The buoyant force of a fluid (a gas or a liquid such as water) on an object is equal to the weight of the fluid displaced.

In Experiment 1 you learned that the weight of an object is the force of gravity on the object. This will not change when an object is placed in water. However, the buoyant force is upward and will make the object appear to weigh less.

Materials and Equipment
Aluminum (Al) bar
Polyethylene (PE) rod
Steel (Iron) bolt
Thread
Small rubber bands
Spring scale
50 mL graduated cylinder

PROCEDURE

Note: In this experiment we will measure force (newtons) rather than mass (grams). See the explanation of the relationship between force and mass in Experiment 1 and Experiment 10.

1. Tie a thread about 20 cm long to the aluminum (Al) bar. Suspend the rod from the spring scale with the thread (see Figure 1), observe the weight, and record this in Table 1.

2. Pour about 25 mL of water into the graduated cylinder. Now carefully lower the aluminum bar (still suspended from the scale by the thread) into the water and, without allowing the rod to touch the bottom of the cylinder, observe and record the reading on the scale (Figure 2). The difference between the weight in air (Procedure 1) and the weight in water is the buoyant force. Record this in Table 1.

3. Repeat Procedures 1 and 2 for the steel bolt. Record your results.

4. Weigh the polyethylene (PE) rod using Procedure 1. Remove the thread.

5. You need to find the buoyant force on the PE rod without using the scale. Pour exactly 25 mL of water into the graduated cylinder. Slide the PE rod into the cylinder, being careful not to spill any water. Without pushing the rod under the water, note the level of the water and, by subtraction, find the volume of water displaced when the rod is floating in the water. Record this in Table 2.

6. Find the weight (in newtons) of one mL of water. Since the density of water is 1.0 g/mL and there are 1000 g in one kg, there will be 0.001 kg of water in 1 mL. We know that one kg weighs 9.8 newtons (Experiment 1). If these are combined we find that the weight of 1.0 mL of water is (0.001 kg)(9.8 N/kg). Calculate this and record it on the Results page.

7. From the volume of water displaced (Procedure 5) and the weight of one mL of water (Procedure 6), calculate the weight of water displaced. This is the buoyant force on the PE rod. Record this in Table 1.

FIGURE 1




FIGURE 2

RESULTS, Buoyancy

Table 1

Object Weight in air, N Weight in water, N Buoyant force, N
Al bar      
Steel bolt      
PE rod   XXX  

1. Calculate and record the buoyant force on the aluminum rod and the steel bolt..

2. Displaced volume of the floating PE rod =                     
Note: See Procedure 5.

3. Weight of one mL of water (Procedure 6) =                     

4. Buoyant force on the PE rod =                     

5. How does the weight of the PE rod compare with the buoyant force on the rod? Why is this?

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