Is my equation rearrangement correct?

  • Context: High School 
  • Thread starter Thread starter Bugsy23
  • Start date Start date
Click For Summary
SUMMARY

The equation M=rv²/G has been correctly rearranged to r=GM/v². The discussion confirms that to isolate r, one must perform equivalent operations on both sides of the equation, specifically multiplying by G and dividing by v², provided v² is not zero. This method of manipulation adheres to algebraic principles, ensuring the integrity of the equation remains intact.

PREREQUISITES
  • Understanding of basic algebraic operations
  • Familiarity with manipulating equations
  • Knowledge of variables and constants in equations
  • Concept of division by non-zero values
NEXT STEPS
  • Study algebraic manipulation techniques
  • Practice isolating variables in various equations
  • Explore the implications of dividing by zero in algebra
  • Review properties of equality in mathematical operations
USEFUL FOR

Students, educators, and anyone looking to strengthen their algebra skills, particularly in rearranging equations and understanding variable isolation.

Bugsy23
Messages
24
Reaction score
0
Hi, my algebra skills are a bit rusty so can someone tell me if I've rearranged this equation correctly. This is the original
M=rv²/G

I need to make r the subject so I put
r=GM/v²

Ist that right? Looks a bit off to me. Thanks
 
Physics news on Phys.org
It is OK.

Do you remember how to rearrange? In short - you can do the same operations on both sides of the equal side. So you can multiply both sides by G, and you can divide both sides by v2 (assuming v2 is not zero) - check what cancels out.
 

Similar threads

Undergrad Astrodynamics Question: Derivation of Sp. Orbital Energy?
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad Passive Transformation and Rotation Matrix
  • · Replies 1 ·
Replies
1
Views
4K
Undergrad Did I figure-out z-translation of 2D-coordinates correctly?
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Have I solved this iterative equation correctly?
  • · Replies 2 ·
Replies
2
Views
1K
Foundations High school and undergraduate math textbooks for refreshing my skills
  • · Replies 18 ·
Replies
18
Views
5K
MHB Rearranging simple equation by making x the subject: 205 = ((4*pi*x*f)/c)^2
  • · Replies 3 ·
Replies
3
Views
2K
A negative number to a fractional power -- Is it legit in High school?
  • · Replies 24 ·
Replies
24
Views
5K
High School What went wrong with (-x)^2=x^2?
  • · Replies 22 ·
Replies
22
Views
3K
Gravitational Field Strength at the equator and poles
  • · Replies 23 ·
Replies
23
Views
5K
Irodov 1.23 confusion: Calculate distance traveled and time elapsed for this decelerating particle
  • · Replies 2 ·
Replies
2
Views
1K