Exercise 3. Find products of powers of all variables, mªl®g°¢° A° that have only the dimensional units of time, T. How many of those products are inde- pendent? |Quantity |Angle/solid angle Dimension D 1 Mass M Length/position Time/period Frequency Velocity/speed Acceleration L T-1 LT-1 LT-2 MLT-1 MLT-2 ML?T-2 Momentum Force Energy |Angular momentum ML²T-1 Pressure ML-1T-2 ML-IT-2 Energy density Energy flux MT-3 Please use Buckingham's Pi Theorem.
Exercise 3. Find products of powers of all variables, mªl®g°¢° A° that have only the dimensional units of time, T. How many of those products are inde- pendent? |Quantity |Angle/solid angle Dimension D 1 Mass M Length/position Time/period Frequency Velocity/speed Acceleration L T-1 LT-1 LT-2 MLT-1 MLT-2 ML?T-2 Momentum Force Energy |Angular momentum ML²T-1 Pressure ML-1T-2 ML-IT-2 Energy density Energy flux MT-3 Please use Buckingham's Pi Theorem.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![Exercise 3. Find products of powers
of all variables, mªl®g°¢® A¢ that have
only the dimensional units of time, T.
How many of those products are inde-
pendent?
Quantity
Dimension D
Angle/solid angle
1
Mass
Length/position
Time/period
Frequency
Velocity/speed
L
T-1
LT-1
LT-2
MLT-1
MLT-2
ML?T-2
Angular momentum ML²T-1
ML-1T-2
ML-IT-2
Acceleration
Momentum
Force
Energy
Pressure
Energy density
Energy flux
MT-3
Please use Buckingham's Pi Theorem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a28f099-2a84-461f-9a13-300a67ed8362%2F05f9403c-a0b3-4e90-bc52-71c1f0fe8e3f%2F99gejs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise 3. Find products of powers
of all variables, mªl®g°¢® A¢ that have
only the dimensional units of time, T.
How many of those products are inde-
pendent?
Quantity
Dimension D
Angle/solid angle
1
Mass
Length/position
Time/period
Frequency
Velocity/speed
L
T-1
LT-1
LT-2
MLT-1
MLT-2
ML?T-2
Angular momentum ML²T-1
ML-1T-2
ML-IT-2
Acceleration
Momentum
Force
Energy
Pressure
Energy density
Energy flux
MT-3
Please use Buckingham's Pi Theorem.
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