Question

the percentage errors in measuring mass,speed,and radius are given by 2%,1%and 3% respectively.Find the percentage error in calculating the centripetal force fc=mv²/r​

Answer 1

Answer:

Error in centripetal force is 7%

Explanation:

$Fc = mv^{2} /r$

Denoting error's with a 'e'.

Mass = M

Velocity = V

Radius = R

% error of :

Mass = 2%

Velocity = 1%

Radius = 3%

$\frac{eFc}{Fc}$ x 100 = $\frac{eM}{M}$ x 100 + 2 x $\frac{eV}{V}$ x 100 - $\frac{eR}{R}$ x 100

               = 2 + 2x1 + 3

               = 7%