Question: A village wishes to measure the quantity of water that is piped to a factory during a typical morning. A gauge on the water line gives the flow rate (in cubic meters per hour) at any instant. The flow rate is about 100 m3/hr at 6 am and increases steadily to about 280 m3/hr at 9 am.
(a) Using only this information, give your best estimate of the total volume of water used by the factory between 6 am and 9 am.
(b) How often should the flow rate gauge be read to obtain an estimate of this volume to within 6 m3?