Check the correctness of the equation $F = m v^{2} / r$ where F is a force, m is mass, v is velocity and r is a radius.

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Solution

We know Force $F = m a s s \times a c c e l e r a t i o n$ ----------(1)
And given Force $F = \frac{m v^{2}}{r}$ ----------(2)
Equating 1 and 2 dimensionaly we get ,
$m a = \frac{m v^{2}}{r}$
$M L T^{- 2} = M L^{2} T^{- 2} L^{- 1}$
$M L T^{- 2} = M L T^{- 2}$

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Check the correctness of the equationF=mv2/r where F is a force, m is mass, v is velocity and r is a radius.

We know ForceF=mass×acceleration----------(1)And given ForceF=mv2r----------(2)Equating 1 and 2 dimensionaly we get ,ma=mv2rMLT−2=ML2T−2L−1MLT−2=MLT−2

Check the correctness of the equation $F = m v^{2} / r$ where F is a force, m is mass, v is velocity and r is a radius.

We know Force $F = m a s s \times a c c e l e r a t i o n$ ----------(1)
And given Force $F = \frac{m v^{2}}{r}$ ----------(2)
Equating 1 and 2 dimensionaly we get ,
$m a = \frac{m v^{2}}{r}$
$M L T^{- 2} = M L^{2} T^{- 2} L^{- 1}$
$M L T^{- 2} = M L T^{- 2}$