The reading of pressure meter attached with a closed pipe is `5 xx 10^(5) Nm^(-2)`. On opening the valve of the pipe, the reading of the pressure meter is `4.5 xx 10^(5) Nm^(-2)`. Calculate the speed of the water flowing in the pipe.

Explanation

Pressure `P = (1)/(2) PV^(2)`
Density of water
Speed of the water flowing in the pipe `V = sqrt((2rho)/(rho)) = ?`
Pressure attached with a closed pipe
`= 5 xx 10^(5) Nm^(-2)`
Pressure attached an opening the valve of pipe
`= 4.5 xx 10^(5) Nm^(-2)`
`V = sqrt((2 xx 0.5 xx 10^(5))/(10^(3)))`
`V = sqrt(1 xx 10^(2)) = sqrt(100) = 10 ms^(-1)`