Home
Class 11
PHYSICS
Calculate the rate of flow of glycerine ...

Calculate the rate of flow of glycerine of density `1.25xx10^(3) kgm^(-3)` through the conical section of a horizontal pipe, if the radii of its ends are 0.1 m and 0.04 m and the pressure drop across its length is `10 Nm^(-2)`.

Text Solution

Verified by Experts

According to continuity equation.
`(V_(2))/(V_(1))=(A_(1))/(A_(2))=(r_(1)^(2))/(r_(2)^(2))=((0.1)^(2))/((0.04)^(2))=25/4`
and according to Bernoull.s equation for a horizontal tube `P_(1)+1/2rhoV_(1)^(2)=P_(2)+1/2rhoV_(2)^(2)`
`V_(2)^(2)-V_(1)^(2)=2((P_(1)-P_(2)))/(rho)`
`=2xx((10N//m^(2)))/((1.25xx10^(3)kg//m^(3)))`
`=16xx10^(-3)m^(2)//s^(2)`
but `V_(2)=25/4V_(1)=6.25V_(1)`
`[(6.25)^(2)-1^(2)]V_(1)^(2)=16xx10^(-3)m^(-2)//s^(2)`
or `V_(1)~~0.0205m//s`
the rate of volume flow `=A_(1)V_(1)=pi(0.1)^(2)xx(0.02)`
`=6.28xx10^(-4)m^(3)//s`
And the rate of mass flow is `(dm)/(dt)=rho AV`
`=(1.25xx10^(3)kg//m^(3))xx(6.28xx10^(-4)m^(3)//s)`
`=0.785kg//s`
Promotional Banner

Similar Questions

Explore conceptually related problems

Calculate the rate of flow of glycerine of density 1.25xx10^(3) kg m^(-3) through the conical section of a pipe, if the radii of its ends are 0.1 m and 0.04 m and the pressure drop across its length is 10 Nm^(-2) .

Calculate the rate of flow of glycerine of density 1.20 xx 10^(3) kg//m^(3) through the conical section of a pipe. If the radii of its ends are 0.1 m and 0.02 m and the pressure drop across the length is 10 N/m^(2) .

In the figure shown below, a fluid of density 2 xx 10^(3) kg m^(-3) is flowing in a horizontal pipe. The speed of water at point A is 4 cm s^(-1) , what is its speed at point B?

The radii of curvatures of a convex lens are 0.04 m and 0.04m. Its refractive index is 1.5. Its focal length is

Calculate the pH of 1.0xx10^(3) M solution of NaCI

The volume of a cuboid is 7. 68 m ^(3) if its length = 3.2 m and height = 1.0 m find its breadth.

To what height does a liquid of density 0.4 xx 10^(3) kg m^(-3) and surface tension 0.05 Nm^(-1) rise in a capillary tube of radius 0.2 mm when dipped in ? [Given cos theta = 0.4 g = 10 m s^(-2) ]

If the ratio of principal specific heat capacities of a certain gas is 1:4 and its density at STP is 0.09 kgm^(-3) calculate the values of specific heat capacity at constant pressure and constant volume. [Standard atmospheric pressure =1.01 xx 10 ^(5) Nm ^(-2)

The volume of a cuboid is 7.68 m ^(3) if its length =3.2 m and height = 1.0 m : find its breadth.

The reading of pressure meter attached with a closed water pipe is 3.5 xx 10^(5) Nm^(-2) . On opening the valve of the pipe, the reading of pressure meter is reduced to 3 xx 10^(5) Nm^(-2) . Calculate the speed of water flowing out of the pipe.