A section of uniform pipe is bent into an upright U shape and partially filled with water, which can then oscillate back and for
th in simple harmonic motion. The inner radius of the pipe is r = 0.011 m. The radius of curvature of the curved part of the U is R = 0.15 m. When the water is not oscillating, the depth of the water in the straight sections is d = 0.21 m.
Write an expression for the mass of water in the tube, in terms of the defined quantities and the density of water, rho. Use the approximation r«R.
Write an expression for the mass of water in the tube, in terms of the defined quantities and the density of water, rho. Use the approximation r«R.
1 answer:
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Answer: 25.38 m/s
Explanation:
We have a straight line where the car travels a total distance , which is divided into two segments
:
(1)
Where
On the other hand, we know speed is defined as:
(2)
Where is the time, which can be isolated from (2):
(3)
Now, for the first segment the car has a speed
, using equation (3):
(4)
(5)
(6) This is the time it takes to travel the first segment
For the second segment the car has a speed
, hence:
(7)
(8)
(9) This is the time it takes to travel the secons segment
Having these values we can calculate the car's average speed :
(10)
(11)
Finally: