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.

The reading of pressure meter attached with a closed pipe is 5 xx 10^(

1.	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.
Answer» Solution :USING Bernoulli.s equation ` P_1 + 1/2 RHO V_(I )^(2)= P_2+ 1/21/2rho V_(2) ^(2)` ` 1/2 rho( v_(2) ^(2)- V_(1) ^(2)) = P_1 -P_2` Here initial velocity `V_1= 0` and density of water ` rho= 1000 KG m^(-3)` `1/2 xx 10 ^(3)xx V_(2) ^(2)= ( 5-4.5 ) xx 10^(5)` `V_(2)^(2) = ( 0.5 xx 10 ^(5) xx 2 )/( 10 ^(3) = 1 xx 10 ^2` ` V_(2)^(2)= ( 0.5xx 10^(5) xx 2 )/( 10^3) = 1 xx 10^2 ` `V_(2)^(2) = 100` ` V_2 = 10 ms^(-1)`