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

Related questions
See all questions in Acceleration
Impact of this question
1235 views around the world
You can reuse this answer
Creative Commons License