Proof Read;Physics Solution
At a point in a pipe carrying a fluid, the diameter of the pipe is 5.0 cm and the average speed of the fluid is 10 cm/s. What is the average speed, in m/s, of the fluid at a point where the diameter is 2.0 cm?
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Since I already know the diameter of the original tube which is 5.0cm,
The area of the circle is calculated by (3.14)(2.5)^2=19.625cm^2
On the other hand the area of the second tube where the diameter is decreased from 5.0cm to 2.cm the area is (3.14)(1.00)^2=3.14cm^2
Therefore assuming that equation of continuity holds true in this situation
Adjusting for sig figs of 1,
Therefore velocity of the water increased from 10m/s^2 to 60m/s^2 .
Please see if my solution is well reasoned according to the principles of continuity equation. Thanks!