In the Physics 1154 lab an experiment was performed to find

In the Physics 1154 lab, an experiment was performed to find the centripetal force on a rotating body by measuring mass (m), frequency (n) and radius (r). It was found that F_c = 4pi^2n^2mr. Write an expression for the uncertainty of the centripetal force.

Solution

value of mass = m and uncertainty = &m

value of frequency = f and uncertainty = &f

value of radius = r and uncertainty = &r

then &Fc = Fc sqrt[ 2((&n /n)^2) + (&m/m)^2 + (&r/r)^2]