(a) Show that the expression for peak acceleration a in a vibrating body is given by: a ¼ u2Xo sinðutÞ where Xo is the peak displacement from the equilibrium position, and u is the angular frequency...

(a) Show that the expression for peak acceleration a in a vibrating body is given by:

a ¼ u2Xo sinðutÞ

where Xo is the peak displacement from the equilibrium position, and u is the

angular frequency of the oscillations.

(b) A pipe carrying a fluid vibrates at a frequency of 50 Hz with displacements of

7 mm from the equilibrium position. Calculate the peak acceleration.