use the method of dimension to find the form of the physical law relating the centripetal acceleration (a) acting on a particle of mass (m) moving on a circle of radius (R) with constant velocity (v)
Update:with si table kg=M s=T m=L
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a is in m/s²
m is in kg
R is in m
V is in m/s
you know that a goes up as V goes up
since we need s², we can start out with V²
and divide by R to get the right units.
So we have a = V²/R