Question

According to Bernoulli's fluid formula a An increase in the speed will lower the internal pressure b An increase in the speed will increase the internal pressure c The internal pressure doesn't change with the speed

Answer 1

a An increase in the speed will lower the internal pressure

Step-by-step explanation:

Bernoulli's fluid formula

`P_1+(1)/(2)\rho v_1^2+\rho gh_1=P_1+(1)/(2)\rho v_2^2+\rho gh_2`

where

P = Pressure

ρ = Density of fluid

g = Acceleration due to gravity

h = Height

v = Velocity of fluid

If there is no change in height then we get

`P_1+(1)/(2)\rho v_1^2=P_1+(1)/(2)\rho v_2^2\\\Rightarrow P+(1)/(2)\rho v^2=constant`

According to the Bernoulli's principle when the speed of the fluid is larger in a region of streamline flow the pressure is smaller in that region. From the above equation it can be seen that increase in speed should simultaneously reduce pressure in order for their sum to be constant.