Question #4aee3

1 Answer
A08
Jan 1, 2017

Given is an equation

#a=v_"average"^2/R#

LHS of the equation is acceleration #a#.
Units of acceleration are #ms^-2#
#:.# Units of LHS of the equation are #ms^-2#
Dimensions of LHS are #"M"^0"L"^1"T"^-2#

RHS of the equation is #v_"average"^2/R#
Units of velocity #v_"average"# are #ms^-1#
In the denominator we have distance #R#, units are #m#
#:.# Units of RHS of the equation are #(ms^-1)^2/m#
#=># Units of RHS of the equation are #ms^-2#

We see that units as well dimensions of LHS are same as of RHS.

Proved

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