Question

The boat in Fig. $\mathrm{P} 3.88$ is jet-propelled by a pump which develops a volume flow rate $Q$ and ejects water out the stern at velocity $V_{j}$. If the boat drag force is $F=k V^{2}$, where $k$ is a constant, develop a formula for the steady forward speed $V$ of the boat.

Name: The boat in Fig. P 3.88 is jet-propelled by a pump which develops a volume flow rate Q and ejects water out the stern at velocity Vj. If the boat drag force is F=k V^2, where k is a constant, develop a formula for the steady forward speed V of the boat.
Uploaded: 2022-06-14T04:13:14-08:00
Duration: 1 min 27 s
Channel: Penny Riley
Description: The boat in Fig. P 3.88 is jet-propelled by a pump which develops a volume flow rate Q and ejects water out the stern at velocity Vj. If the boat drag force is F=k V^2, where k is a constant, develop a formula for the steady forward speed V of the boat.

          The boat in Fig. $\mathrm{P} 3.88$ is jet-propelled by a pump which develops a volume flow rate $Q$ and ejects water out the stern at velocity $V_{j}$. If the boat drag force is $F=k V^{2}$, where $k$ is a constant, develop a formula for the steady forward speed $V$ of the boat.

Added by Larry R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Penny Riley

06/14/2022

Step 1

The sum of all forces is equal to the integral of $V \cdot \mathbf{P} \cdot \mathbf{V} \cdot \mathbf{N} \cdot dA$. This gives us the equation: $kV^2 = \rho QV + \rho QV_j$. ** Show more…

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The boat in Fig. $\mathrm{P} 3.88$ is jet-propelled by a pump which develops a volume flow rate $Q$ and ejects water out the stern at velocity $V_{j}$. If the boat drag force is $F=k V^{2}$, where $k$ is a constant, develop a formula for the steady forward speed $V$ of the boat.