Answer to Question #31127 in Functional Analysis for madu

Question

The resonant frequency of a vibrating shaft is given by: f =1/2π 2√k/l where K is the stiffness of the shaft and I is the moment of inertia of the shaft. Use the binomial theorem to determine the approximate percentage error in determining the frequency using the measured values of K and I when the measured value of K is 5% larger and the measured value of I is 3% smaller.