MHB Centripetal Force Calculation: How Many G's Can Your Centrifuge Simulate?

AI Thread Summary
The discussion focuses on calculating the centripetal force generated by a centrifuge designed to simulate increased gravity. The formula for centripetal force is derived from the relationship between mass, velocity, and radius. With a centrifuge spinning at 35,000 rpms and samples positioned 1.75 inches from the center, participants are tasked with determining how many times the force of gravity (9.81 m/s²) can be simulated. The conversation emphasizes the importance of understanding the acceleration due to gravity in these calculations. Ultimately, the goal is to quantify the centrifuge's capability to replicate gravitational forces.
JarrettHayama
Messages
1
Reaction score
0
#1 Round and round we go! You are constructing a centrifuge to use its spinning motion to act like increased gravity.
(a) Find the formula for centripetal force.
(b) Your centrifuge can spin at 35,000 rpms and your samples are placed 1.75 inches from the center of rotation. If the force of gravity is g = 9.81m/s2, how many times the force of gravity can your centrifuge simulate?
 
Mathematics news on Phys.org
JarrettHayama said:
#1 Round and round we go! You are constructing a centrifuge to use its spinning motion to act like increased gravity.
(a) Find the formula for centripetal force.
(b) Your centrifuge can spin at 35,000 rpms and your samples are placed 1.75 inches from the center of rotation. If the force of gravity is g = 9.81m/s2, how many times the force of gravity can your centrifuge simulate?

That last bit should read, "If the acceleration due to gravity is..."

What have you tried so far?
 

Thread 'Non-orthogonal bases'

Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
View full post »

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Similar threads

MHB Centripetal acceleration of viking ship in the amusement park.
Replies
10
Views
2K
B Confusion while trying to build intuition of centripetal force
Replies
15
Views
3K
I Origin of Centripetal force when the net force toward the center is 0?
Replies
8
Views
3K
How Do You Calculate Centripetal Acceleration in a Blood Centrifuge?
Replies
8
Views
1K
B Centrifugal Force on Rotating 4" tire / wheel @ 100mph
Replies
15
Views
2K
How do we provide centripetal force in this situation?
Replies
16
Views
2K
How Do You Calculate the Stress Limit of a Spinning Flywheel?
Replies
20
Views
4K
Centrifugal and centripetal forces on a half pipe
Replies
8
Views
4K
Centripetal Force & Gas Centrifuges
Replies
8
Views
2K
Centripetal force and spinning discs
Replies
17
Views
5K

Hot Threads

Recent Insights

Back
Top