1. A boat has a dry weight of 3500 lbs. How many liters of water does it displac

Question

1. A boat has a dry weight of 3500 lbs. How many liters of water does it displace?

2 A steel pipe runs vertically fromthe floor of the ocean to the surface. The pipe isempty -- that is, contains air at atmospheric pressure. What is the water pressure on the pipe 200 m below the surface? At that point, what is the force on 1 cm2of the pipe wall? (Density of seawater = 1.03 kg/L)

3 Water is flowing through a circular pipe with an internal diameter of 1 meter, at a rate of0.5 m3/s. What is the water's flow velocity? What is its dynamic pressure?

4 The static water pressure at point 1 in a pipe is 100 kPa, and the fluid velocity is 2 m/s. At point 2 downstream, the pipe widens and the velocity decreases to1 m/s. What is the static pressure at that point? The usual assumptions concerning laminar flow, no friction losses, incompressibility, etc. all apply.

Please try to give as much details as you can.

Explanation / Answer

1)3500lbs=1587.5734Kg

so displace water =weight of boat=1587.5734 Kg=1587.5734 *1.03 L

=1635.2 liters

2)p at 200 m below=P0+density*g*h

=1.01325*10^5 +(1030*9.81*200)

=2122185 N/m2

=20.944 atm

force on pipe wall=P*A

=2122185*(10^-4)

=212.22 N

3) water flow velocity=(0.5 m3/sec)/((pi/4)(1^2))

v =0.6367 m/sec

dynamic pressure=(1/2)*density*(v^2)

=327.9 Kg/(m^2 sec)

4)applying bernoulli equation:

P1+(1/2)*density*v1^2+density*gh=P2+(1/2)*density*v2^2+density*gh

or P1+(1/2)*density*v1^2=P2+(1/2)*density*v2^2

or 100000+(1/2)*1030*(2^2)=P2+(1/2)*1030*(1^2)

or P2=101545 Pa

or P2=101.545 Pa

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