Inside a large container filled with glycerin at rest, which has a density p=1260 kg/m³ and a viscosity n=0.830 Pa's, a sphere with a radius of 2.50 cm is inserted to a sufficient depth, made of a material whose density is 400 kg/m³, and is released from rest. Under these conditions: a. Draw a free-body diagram, showing all the forces the sphere is subjected to as it moves in the fluid, and indicate the direction of motion. b. Determine the terminal speed of the sphere and calculate the acceleration of the sphere when its speed is half its terminal speed. c. Suppose the sphere is now placed in an oil whose viscosity and density at room temperature are less than those of glycerin (poil-875 kg/m³ y noil-0.255 Pa's). What happens to the terminal speed of the sphere: does it increase, decrease, or stay the same? Justify your answer.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter6: Applications Of Newton’s Laws Of Motion
Section: Chapter Questions
Problem 41PQ: An inflated spherical beach ball with a radius of 0.3573 m and average density of 10.65 kg/m3 is...
icon
Related questions
icon
Concept explainers
Topic Video
Question

See the physics problem in the picture

Inside a large container filled with glycerin at rest, which has a density p=1260 kg/m³ and a
viscosity n=0.830 Pa's, a sphere with a radius of 2.50 cm is inserted to a sufficient depth,
made of a material whose density is 400 kg/m³, and is released from rest. Under these
conditions:
a. Draw a free-body diagram, showing all the forces the sphere is subjected to as it moves
in the fluid, and indicate the direction of motion.
b. Determine the terminal speed of the sphere and calculate the acceleration of the sphere
when its speed is half its terminal speed.
c. Suppose the sphere is now placed in an oil whose viscosity and density at room
temperature are less than those of glycerin (poil-875 kg/m³ y noil-0.255 Pa's). What
happens to the terminal speed of the sphere: does it increase, decrease, or stay the same?
Justify your answer.
Transcribed Image Text:Inside a large container filled with glycerin at rest, which has a density p=1260 kg/m³ and a viscosity n=0.830 Pa's, a sphere with a radius of 2.50 cm is inserted to a sufficient depth, made of a material whose density is 400 kg/m³, and is released from rest. Under these conditions: a. Draw a free-body diagram, showing all the forces the sphere is subjected to as it moves in the fluid, and indicate the direction of motion. b. Determine the terminal speed of the sphere and calculate the acceleration of the sphere when its speed is half its terminal speed. c. Suppose the sphere is now placed in an oil whose viscosity and density at room temperature are less than those of glycerin (poil-875 kg/m³ y noil-0.255 Pa's). What happens to the terminal speed of the sphere: does it increase, decrease, or stay the same? Justify your answer.
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Fluid Pressure
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College