Question

To get an idea of the small effect that temperature has on Archimedes' principle, calculate the fraction of a copper block's weight that is supported by the buoyant force in $0^{\circ} \mathrm{C}$ water and compare this fraction with the fraction supported in $95.0^{\circ} \mathrm{C}$ water.

Name: Problem 67, Chapter 13: College Physics
Uploaded: 2020-07-14T18:36:26-08:00
Duration: 3 min 24 s
Channel: Zulfiqar Ali
Description: To get an idea of the small effect that temperature has on Archimedes' principle, calculate the fraction of a copper block's weight that is supported by the buoyant force in 0^∘ C water and compare this fraction with the fraction supported in 95.0^∘ C water.

   To get an idea of the small effect that temperature has on Archimedes' principle, calculate the fraction of a copper block's weight that is supported by the buoyant force in $0^{\circ} \mathrm{C}$ water and compare this fraction with the fraction supported in $95.0^{\circ} \mathrm{C}$ water.

College Physics

Paul Peter Urone,… 1st Edition

Chapter 13, Problem 67

Instant Answer

Solved by Expert Zulfiqar Ali

07/14/2020

Step 1

The volume depends on the temperature due to the thermal volume expansion. So we get the fraction of the copper block's weight that is supported by the buoyant force. This fraction is the buoyant force divided by the weight of the copper block. Show more…

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To get an idea of the small effect that temperature has on Archimedes' principle, calculate the fraction of a copper block's weight that is supported by the buoyant force in $0^{\circ} \mathrm{C}$ water and compare this fraction with the fraction supported in $95.0^{\circ} \mathrm{C}$ water.

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Key Concepts

Archimedes’ Principle

This principle states that an object immersed in a fluid experiences an upward force equal to the weight of the fluid displaced. It is fundamental in determining the buoyant force acting on any submerged object.

Buoyant Force Calculation

Calculating buoyant force involves using the volume of the displaced fluid along with its density and gravitational acceleration. This calculation helps to determine what fraction of an object's weight is offset by the upward force from the fluid.

Temperature Dependence of Fluid Density

The density of a fluid, such as water, changes with temperature. Since buoyant force is directly related to fluid density, variations in temperature lead to slight changes in the buoyant support experienced by a submerged object.

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