Water flows at speed v in a pipe of radius r. Neglecting viscosity, at what speed does the water flow through a constriction in which the radius of the pipe is r/3

9v

Explanation:

Given that the water flows at speed v in a pipe of radius r.

Let is the speed of water flow where the radius of the pipe is r/3.

By using the continuity equation, the mass flow rate of water is the same at all the cross-sections of the pipe, wh have

Where and are the density, area of the cross-section and speed at cross-section 1 and   and are the density, area of the cross-section and speed at cross-section 2.

As the density of the water remains constant. so .

Hence, the speed of the water flow where the radius is r/3 is .

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.