Confirmation of F=MV^2/R
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Heya
To confirm or check the correctness of a formula, we can check it dimensionally.
F = mv²/r
LHS
= F
= Dimension of Force = [MLT^-2]
RHS
= mv²/r
= [Dimension of m × (Dimension of v)²]/ Dimension of r
= { [M] × [LT^-1]² } / [L]
= [MLT^-2]
LHS = RHS
Hence verified.
Hope this helps you.
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