Question

You need to fill a football with air to play with it. you know that your pump expells air at speed of 8.2ft/s.the needle of your pump has a radius of 4.5mm. what is the volume flow rate of air

Answer 1

Given - Speed of air - 8.2 ft/s

Radius of pump - 4.5 mm

Find - Volume flow rate of air

Solution - To find the volume flow rate of air, we have to find the product of speed of air and area of pump. The units need to be converted in similar ones, thus here they are converted into cm.

Speed of air - 249.936 cm/s

Radius of pump - 4.5 cm

Area of pump - πr²

= 63.6 cm²

Hence,

volume flow of air - 63.6*249.936

Volume flow of air - 15895.9296 cm³/s