The value of 'r' as a subject is [tex]r=\sqrt{\dfrac{v^2}{m^2g^2}-1}}[/tex].
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The expression will be solved as:-
[tex]v =mg \sqrt{1-r^2[/tex]
Squaring on both sides.
[tex]v^2=m^2g^2(1-r^2)[/tex]
[tex]\dfrac{v^2}{m^2g^2}=1-r^2[/tex]
[tex]r=\sqrt{\dfrac{v^2}{m^2g^2}-1}}[/tex].
Hence, the expression is [tex]r=\sqrt{\dfrac{v^2}{m^2g^2}-1}}[/tex].
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