Question

Determine the volume of the ring/tube using Archimedes' Principle and compare your results to the volume of the ring/tube calculated from physical measurements. Do not tie the thread directly to the balance; use the paper clip as a hook. Assume that the density of the water is 1.0 g/cm. Neatly show all work and provide all necessary data. If the TA cannot duplicate your results from the data that you provide, your score will be drastically reduced.

Volume of ring/tube via Archimedes' Principle (A): ___________
Volume of ring/tube via Physical Measurement (B): __________
Percent Difference-=(A-B)/ (A+B)/2 x100%-=_________
Percent Difference <-3% <-5% <= 10% <--15% <-20% | >20%
Points 50 45 40 25 10 0

Answer 1

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Step-by-step explanation:

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Answer 2

The volume of the ring/tube can be determined using Archimedes' Principle by measuring the mass in air and in water and then calculating the volume of the water displaced. The volume can also be determined by physically measuring the dimensions and applying the formula for the volume of a cylinder. The percent difference between these two methods is then calculated.

Step-by-step explanation:

To determine the volume of the ring/tube using Archimedes' Principle, you need to follow these steps:

1. Measure the mass of the ring/tube in air (let's call this mass m_air).
2. Suspend the ring/tube in water using the paper clip as a hook and measure the apparent mass in water (m_water).
3. Calculate the mass of the water displaced by using the formula: mass of fluid displaced = m_air - m_water.
4. Since the density of water is 1.0 g/cm³, the volume of fluid displaced (and thus the volume of the ring/tube) is equal to the mass of the fluid displaced (in grams) as the volume in cm³.

This is how you would calculate the volume (A) using Archimedes' Principle.

To calculate the volume via Physical Measurement (B):

1. Measure the outer diameter of the ring/tube and its inner diameter.
2. Calculate the cross-sectional area of the ring/tube using the area formula for a circle (A = πr²), using the average of the inner and outer radius for r.
3. Multiply the cross-sectional area by the length/height of the tube to find its volume.

Once you have both volumes, calculate the percent difference between them using the provided formula.