Use the value of the buoyant force to calculate an experimental value of the volume of the 250 g mass, using Fb PLVDg. The density of water is approximately 1,000 kg/m³. Show your work. Fb=PLVDg Vo=Fol (PL)(g) → VD (.30)/(1000) (9.81)= VD= 3.06*10^-5m^3 MAY BE NEGATIVE.30!! EMAILED!

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Topic Video
Question

Hey! I'm working through the lab on Archimedes Principle and Buoyancy. I need someone to check my work, as my actual and theoretical values between question 2 and 3 are... pretty different from one another. should I be using a negative value for my buoancy? Thank you!

Buoyant Force and Archimedes Principle
3. Use the measured dimensions of the 250 g mass to calculate the volume of the mass based
on its shape (either hexagonal or cylindrical). State the shape of your mass, e.g., circular
cylinder or hexagonal cylinder. Show your work.
(Hint: If you do not know the formula for the volume of your shape, look it up on the
internet.)
My mass shape is cylindrical, I will be using the formula V = (pi)(r^2)(h) for this reason.
V = (pi)(1.25*10^-2)(4.4*10^-2) = 1.7*10^-3 → V = 1.7*10^-3 m^3
4. Determine the percent difference between the measured volume of the 250 g mass and the
value calculated from the buoyant force measurement. Show your work.
5. Using the fact that 1 mL = 1 x 10-6 m³, compare the volume of the displaced water to the
calculated volume of the mass from Post-Lab Question 3 with a percent error calculation.
Show your work.
6. Are the three experimental values of the volume of the 250 g mass (from Archimedes'
Principle) larger or smaller than the calculated value using the caliper measurements? Why?
Which of the three values for volume is more accurate (the two experimental values and the
caliper value)? Which of the two experimental volumes are more accurate? Explain.
Transcribed Image Text:Buoyant Force and Archimedes Principle 3. Use the measured dimensions of the 250 g mass to calculate the volume of the mass based on its shape (either hexagonal or cylindrical). State the shape of your mass, e.g., circular cylinder or hexagonal cylinder. Show your work. (Hint: If you do not know the formula for the volume of your shape, look it up on the internet.) My mass shape is cylindrical, I will be using the formula V = (pi)(r^2)(h) for this reason. V = (pi)(1.25*10^-2)(4.4*10^-2) = 1.7*10^-3 → V = 1.7*10^-3 m^3 4. Determine the percent difference between the measured volume of the 250 g mass and the value calculated from the buoyant force measurement. Show your work. 5. Using the fact that 1 mL = 1 x 10-6 m³, compare the volume of the displaced water to the calculated volume of the mass from Post-Lab Question 3 with a percent error calculation. Show your work. 6. Are the three experimental values of the volume of the 250 g mass (from Archimedes' Principle) larger or smaller than the calculated value using the caliper measurements? Why? Which of the three values for volume is more accurate (the two experimental values and the caliper value)? Which of the two experimental volumes are more accurate? Explain.
Data Sheet
Base Edge or Diameter (cm)
Object
250 g Hanging
Mass
Table 2. Dimensions of 250g Hanging Mass
Height (cm)
Rubber Stopper
2.5
Post-Lab Questions
Table 3. 250 g Hanging Mass Buoyancy Data
Weight in Air
(N)
2.45
.25
Weight in
Water (N)
2.15
4.4
.05
Buoyancy
Force (N)
.30
.20
Volume
Displaced
(mL)
16
5.5
1. What happens to the apparent weight when the objects are submerged in water?
When submerged in water, the apparent weight is less than its actual weight. This is due to
the buoyant force acting on the object.
2. Use the value of the buoyant force to calculate an experimental value of the volume of the
250 g mass, using Fb =PLVDg. The density of water is approximately 1,000 kg/m³. Show
your work.
Fb=PLVDg → Vo=Fbl (pl)(g) → VD= (.30)/(1000) (9.81)= VD= 3.06*10^-5m^3 MAY BE
NEGATIVE.30!! EMAILED!
I
Transcribed Image Text:Data Sheet Base Edge or Diameter (cm) Object 250 g Hanging Mass Table 2. Dimensions of 250g Hanging Mass Height (cm) Rubber Stopper 2.5 Post-Lab Questions Table 3. 250 g Hanging Mass Buoyancy Data Weight in Air (N) 2.45 .25 Weight in Water (N) 2.15 4.4 .05 Buoyancy Force (N) .30 .20 Volume Displaced (mL) 16 5.5 1. What happens to the apparent weight when the objects are submerged in water? When submerged in water, the apparent weight is less than its actual weight. This is due to the buoyant force acting on the object. 2. Use the value of the buoyant force to calculate an experimental value of the volume of the 250 g mass, using Fb =PLVDg. The density of water is approximately 1,000 kg/m³. Show your work. Fb=PLVDg → Vo=Fbl (pl)(g) → VD= (.30)/(1000) (9.81)= VD= 3.06*10^-5m^3 MAY BE NEGATIVE.30!! EMAILED! I
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Fluid Statics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY