Question

A prototype automobile is designed to travel at 65 km/hr. A model of this design is tested in a wind tunnel with identical standard sea- level air properties at a 1:5 scale. The measured model drag is 402 N, enforcing dynamic similarity. Determine (a) the drag force on the prototype and (b) the power required to overcome this drag. See the equation $\frac{V_m}{V} = \frac{D}{D_m}$. (a) $D_p$ = 402 N (b) $P_p$ = 9.7 hp

Name: a prototype automobile is designed to travel at 65 kmhr a model of this design is tested in a wind tunnel with identical standard sea level air properties at a 15 scale the measured model dr 98924
Uploaded: 2023-10-15T14:50:42-08:00
Channel: Victor Salazar
Description: a prototype automobile is designed to travel at 65 kmhr a model of this design is tested in a wind tunnel with identical standard sea level air properties at a 15 scale the measured model dr 98924

          A prototype automobile is designed to travel at 65 km/hr. A model of this design is tested in a wind tunnel with identical standard sea-
level air properties at a 1:5 scale. The measured model drag is 402 N, enforcing dynamic similarity. Determine (a) the drag force on the
prototype and (b) the power required to overcome this drag. See the equation $\frac{V_m}{V} = \frac{D}{D_m}$.
(a) $D_p$ = 402 N
(b) $P_p$ = 9.7 hp

a prototype automobile is designed to travel at 65 kmhr a model of this design is tested in a wind tunnel with identical standard sea level air properties at a 15 scale the measured model dr 98924

Added by Michael L.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Victor Salazar

10/15/2023

Step 1

Given the scale is 1:5, which means the length scale ratio is $L_r = \frac{1}{5}$. The velocity ratio is $\frac{V_m}{V} = L_r = \frac{1}{5}$. The drag force ratio is $\frac{D}{D_m} = \frac{V_m}{V} = \frac{1}{5}$. Therefore, the drag force on the prototype is $D_p Show more…

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A prototype automobile is designed to travel at 65 km/hr. A model of this design is tested in a wind tunnel with identical standard sea- level air properties at a 1:5 scale. The measured model drag is 402 N, enforcing dynamic similarity. Determine (a) the drag force on the prototype and (b) the power required to overcome this drag. See the equation $\frac{V_m}{V} = \frac{D}{D_m}$. (a) $D_p$ = 402 N (b) $P_p$ = 9.7 hp