PHY250L Lab 8: Buoyant Force & Archimedes' Principle - Complete Lab Report

Lab 8 Buoyant Force & Archimedes Principle PHY250L


Lab Report Format Expectations
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Utilize college level grammar and formatting when answering text based questions.
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Report all equations in a proper mathematical format, with the correct signs and symbols.
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Submissions with incomplete or improperly formatted responses may be rejected.
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Pre-Lab Questions M



1. Archimedes' principle is a fundamental concept in fluid mechanics and relates directly to the
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M buoyant force. Archimedes' principle states that:
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"Any object, wholly or partially immersed in a fluid, is buoyed up by a force equal to the weight of
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M the fluid displaced by the object."
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In your own words, explain the Buoyant Force as it relates to Archimedes Principle. Ensure that
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M you discuss this in terms of the equation for Buoyant Force.
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Archimedes' Principle states that any object fully or partially immersed in a fluid experiences an
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M upward buoyant force equal to the weight of the fluid displaced by the object. The buoyant force
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M (Fb) is given by the equation:
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Fb = ρfluid Vdisplaced𝑔
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ρ fluid is the fluid density (𝑘𝑔/𝑚^3),
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V displaced is the volume of displaced fluid (𝑚^3),
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𝑔 is the gravitational acceleration (9.81𝑚/𝑠^2).
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,Lab 8 Buoyant Force & Archimedes Principle PHY250L

2. Draw a free-body diagram of a hanging mass before it is submerged in water. Make sure to label
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Myour forces and include your handwritten name in the background.
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, Lab 8 Buoyant Force & Archimedes Principle PHY250L

3. Draw a free body diagram of a hanging mass after it is submerged in water. Make sure to label
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Myour forces and include your handwritten name in the background. Which force is the force you
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Mmeasure with the spring scale?
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EXPERIMENT 1: EFFECTS OF DENSITY
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Introduction Questions M




1. Apply Newton’s second law to your free body diagram from Pre-Lab Question 3 to solve for the
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magnitude of the buoyant force.
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M ∑F=ma
Weight (W=mg) acting downward, Buoyant force (𝐹𝑏) acting upward. Since the object is in
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equilibrium:
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𝐹𝑏+T=mg

Where 𝑇 is the force measured on the spring scale. Rearranging for 𝐹𝑏:
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𝐹𝑏=mg−T