The diameter of a pipe at two points where a venturimeter is connected is 5 cm and 8 cm and the difference of level in it is 4 cm. Calculate the mass of water flowing through the pipe per second.

Answer

` 0.158 kg s^(-1)`

Explanation

` V = a_1 a_2sqrt( 2gh//a_1^(2) -a_2^(2)) = pi xx ( 0.04)^(2) xx pi xx (0.025) ^(2) sqrt( 2xx 9.8 xx 0.4 (pi xx 0.04- pi xx 0.025^(2))`
` = 1.58 xx 10 ^(-4) m^(2) s^(-1) ` Mass of water flowing per second `= 1.58 xx 10 ^(-4) xx 1000 = 0.158 kg s ^(-1)`