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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