9 m 3 m
Pebbles dropped successively at the same point, into a
water channel flow of depth 65 cm, create two circular
ripples, as in Fig.. From this information estimate
(a) the Froude number and (b) the stream velocity.
(a)
Write the value of the distance of the pebble dropping point from the center of the smaller circle in the given diagram in terms of the stream velocity.
Here, x is the distance of the pebble dropping point from the center of the smaller circle, r is the radius of the smaller circle, V is the stream velocity, and co is the critical velocity of the flow.
From the diagram, the radius of the smaller circle is 3 m.
From the diagram the center of the radius of the bigger circle is 4 m from the center of the smaller circle. Therefore, write the value of the distance of the pebble dropping point from the center of the bigger circle in terms of stream velocity.
Here, R is the radius of bigger circle.
From the given diagram, the radius of the bigger circle is 9 m.
Use the value of x obtained from the equation for the smaller circle and substitute it in this equation.
Step by step
Solved in 2 steps with 8 images
