need help on part d Multiparticle Model: Unit 15 - The Circulatory System BASIC

Question

need help on part d

Multiparticle Model: Unit 15 - The Circulatory System BASIC WORKSHEET B: DYNAMIC PRESSURE 1) The Bernoulli principle can be used to "bail out a boat. The drain plug on PPal the bottom of the hull is removed and-bilge" water (-1000 drain out if boat is moving fast enough. The data at right represe absolute pressure in the bottom of a boat moving at differen 101000Pa- atmospheric pressure. kg/ms) will 94000 t speeds. Prt a) The linear math model for this data is: 101 xo Drain Plu b) The intercept represents c) Determine the depth of the drain hole below the outside waerpl level when the boat is standing still (8-10 N/kg). 10 zooo d) Determine the minimum speed of the boat needed to keepHH water from flooding into the open drain plug.

Explanation / Answer

1. form the given data

a. linear math model

P = -500 P + 1.02*10^5 Pa

b. the intercept 1.02*10^5 is atmospheric pressure inpascals

c. depgth = d

102000 = 1000*10*dh

dh = 10.2 m

hence

minimum speed = v

0.5*rho*v^2 = 102000

v = 4.516 m/s

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