2. Derive an equation for determining the density of a floating/wooden object using Archimedes' Principal without knowing the volume of the object(s). Your answer should be in terms of the mass of the wood un-submerged, the density of water, Reading 1 or m1, and reading 2 or m2 from the procedure above. Include a free body diagram.
2. Derive an equation for determining the density of a floating/wooden object using Archimedes' Principal without knowing the volume of the object(s). Your answer should be in terms of the mass of the wood un-submerged, the density of water, Reading 1 or m1, and reading 2 or m2 from the procedure above. Include a free body diagram.
College Physics
11th Edition
ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
Question
Can you show a Free body diagram for number 2?
Transcribed Image Text:FB Theory
atew erll oini pnite er newo T
1. In the space below, state Archimedes' Principle and define density, then show mathematically
how you can measure the density of an object WITHOUT knowing its volume. Your answer
should be in terms of measured quantities mentioned in the procedure the buoyant force mass
mB in a fluid, the mass of the object mob,not submerged, as well as the density of fluid the
mass was submerged into. Specifically what is the electronic scale measuring in step 4
above? Be sure to draw a free-body diagram of the system explaining your answer.
mg
Buc Yaut force mass: MB /mass of cbJect hot sabmerged:Mob
mob
Answer: Pob= Pf mB
Vas = VoLo Pob= Pf mob
MB
%3D
%3D
O F8 PE Vs 9/Buoyaut force
MB
Mob
%3D
Pob
density
ood sooorPo
ort brooer
2. Derive an equation for determining the density of a floating/wooden object using Archimedes'
Principal without knowing the volume of the object(s). Your answer should be in terms of the
mass of the wood un-submerged, the density of water, Reading 1 or m1, and reading 2 or m2
from the procedure above. Include a free body diagram.
P= m
E W.CETARUTAA YJBT319MOD OMDIAM
V=
mw
Answer: Pw = Pf
m2-m1
hetsw tenendagsb uode riiw lh bas 19nietnoo egist s jea
Whavo omoad bluon ti
M2 -m,
Vw= VF
6. Te
mw
%3)
z ylwel sP PE
vloca
sd zi inlog aid T
mattod
M2-m,
Pw
3. Finally, derive an equation using Archimedes' Principal showing how the density of a liquid
can be measured. Your expression should be in terms of the density of water, the object's
buoyant force mass in NaCl solution, and the objecť's buoyant force mass in water (i.e. in
terms of the quantities in Table 1). No free-body diagram is needed.
mB NaCl
Answer: PNacı = Pwater
%3D
mB,water
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