Cheque the accuracy of the equqtio F=mv2/r
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Force F = mass m X acceleration a
Dimensions of F ⇒ [M¹L¹T⁻²]
mv²/r = {mass m X (velocity v)²} ÷ radius r
Dimension of mv²/r ⇒ [M¹(L¹T⁻¹)²] / [L¹] = [M¹L²T⁻²] / [L¹] = [M¹L¹T⁻²]
∴The given equation is dimensionally accurate.
Hope it helps you. :)
Dimensions of F ⇒ [M¹L¹T⁻²]
mv²/r = {mass m X (velocity v)²} ÷ radius r
Dimension of mv²/r ⇒ [M¹(L¹T⁻¹)²] / [L¹] = [M¹L²T⁻²] / [L¹] = [M¹L¹T⁻²]
∴The given equation is dimensionally accurate.
Hope it helps you. :)
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