The rotating element in a mixing chamber is given a periodic axial movement z = z0 sin 2πnt where z0 = 95 mm, and the frequency n = 2.7 s-1, while it is rotating at the constant angular velocity ω = 9.4 rad/s. determine the maximum magnitude of the acceleration of a point a on the rim of radius r = 112 mm.

Water in a partially filled large tank is to be supplied to the roof top, which is 8 m above the water level in the tank, through a 2.2-cm-internal-diameter pipe by maintaining a constant air pressure of 300 kpa (gage) in the tank. if the head loss in the piping is 2 m of water, determine the discharge rate of the supply of water to the roof top in liters per second.