Question

Water skiing involves a motor boat towing an upright person at a sufficient velocity. The skis are tilted to deflect the water and support the weight. The drag force on the skis is $F_{drag}$. Let the skis have length $L_s$ and width, $b_s$, and the fluid have density, $\rho$, and viscosity, $\mu$. a. What are the relevant parameters? Be sure to assign names to all of them. b. Are any of the parameters already dimensionless? If so, which? c. What are the dimensions of your parameters listed in part (a)? d. How many total dimensionless parameters do you expect in this analysis? e. For a repeating set of parameters let mass M be represented by $\rho$, length L by $L_s$, and time T by $\mu$. Define the dimensionless parameters of this system which include a dimensionless output for $F_{drag}$.

          Water skiing involves a motor boat towing an upright person at a sufficient velocity. The skis
are tilted to deflect the water and support the weight. The drag force on the skis is $F_{drag}$. Let the
skis have length $L_s$ and width, $b_s$, and the fluid have density, $\rho$, and viscosity, $\mu$.
a. What are the relevant parameters? Be sure to assign names to all of them.
b. Are any of the parameters already dimensionless? If so, which?
c. What are the dimensions of your parameters listed in part (a)?
d. How many total dimensionless parameters do you expect in this analysis?
e. For a repeating set of parameters let mass M be represented by $\rho$, length L by $L_s$, and time T
by $\mu$. Define the dimensionless parameters of this system which include a dimensionless output
for $F_{drag}$.

Water skiing involves a motor boat towing an upright person at a sufficient velocity. The skis
are tilted to deflect the water and support the weight. The drag force on the skis is Fdrag. Let the
skis have length Ls and width, bs, and the fluid have density, ρ, and viscosity, μ.
a. What are the relevant parameters? Be sure to assign names to all of them.
b. Are any of the parameters already dimensionless? If so, which?
c. What are the dimensions of your parameters listed in part (a)?
d. How many total dimensionless parameters do you expect in this analysis?
e. For a repeating set of parameters let mass M be represented by ρ, length L by Ls, and time T
by μ. Define the dimensionless parameters of this system which include a dimensionless output
for Fdrag.

Added by John M.

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