A tall cylindrical tank open to the atmosphere is filled with water to a constant…
PHYSICS · Multi-part · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids
Problem
A tall cylindrical tank open to the atmosphere is filled with water to a constant depth of 1.20 m above a very small, circular hole in the flat bottom of the tank. The hole has a diameter of 1.0 cm. The cross–sectional area of the tank is large enough that the water level does not fall appreciably while the water flows out.
Take the density of water to be 1.0×103kgm−3 and g=9.8ms−2.
(a) Calculate the speed with which water emerges from the hole.
(b) Determine the volume flow rate of water through the hole.
(c) A 10 L bucket (1 L = 1.0×10−3m3) is placed under the stream. Assuming the flow rate found in part (b) remains constant, estimate the time required to fill the bucket.