Rearrange the following equation to make G the subject, where r > 0 and M > 0 8 pi^2/G^3M = T^2/r^3. ?

Question

1166 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-12-04T18:59:57

#G=2rroot3((mpi^3)/T^2#

#8 pi^2/G^3M = T^2/r^3#

#(8Mpi^2)/G^3=T^2/r^3#

Cross multiply

#8Mpi^2r^3=T^2G^3#

#G^3=(8Mpi^2r^3)/T^2#

#G=root3((8Mpi^2r^3)/T^2#

Cube root the values which can be cube rooted and place them outside the cube root once they have been cube rooted.

#G=2rroot3((Mpi^2)/T^2#