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 551 N, enforcing dynamic similarity. Determine (a) the drag force on the prototype and (b) the power required to overcome this drag. See D the equation V Dm
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 551 N, enforcing dynamic similarity. Determine (a) the drag force on the prototype and (b) the power required to overcome this drag. See D the equation V Dm
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![### Wind Tunnel Testing and Drag Force Calculation
#### Problem Description:
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 551 N, enforcing dynamic similarity.
Determine:
(a) The drag force on the prototype (D_p).
(b) The power required to overcome this drag (P_p).
#### Given:
- **Scale**: 1:5
- **Speed of Prototype (V)**: 65 km/hr
- **Measured Model Drag (D_m)**: 551 N
The equation to use is:
\[
\frac{V_m}{V} = \frac{D}{D_m}
\]
Where:
- \( D \) is the drag force on the prototype.
- \( D_m \) is the drag force on the model.
- \( V_m \) is the model velocity.
- \( V \) is the prototype velocity.
#### Calculation Steps:
(a) **Determine Drag Force on Prototype (D_p):**
\[
D_p = \quad \text{(Calculate and insert here)}
\]
(b) **Calculate Power Required to Overcome Drag (P_p):**
\[
P_p = \quad \text{(Calculate and insert here)}
\]
Note that power (P_p) can be calculated using the relationship:
\[
P_p = \frac{D_p \times V}{375}
\]
Where,
- \( P_p \) is in horsepower (hp).
- \( D_p \) is in Newtons (N).
- \( V \) is in km/hr.
### Input Fields:
- (a) Drag Force \( D_p \) in Newtons (N)
- (b) Power \( P_p \) in horsepower (hp)
This problem helps understand the principles of model testing and scaling in aerodynamic studies.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4312e33f-77b0-4b80-923c-eb8ae7571481%2Fed3daa52-9a2e-4537-9441-9208b69fb820%2Fugasyz5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Wind Tunnel Testing and Drag Force Calculation
#### Problem Description:
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 551 N, enforcing dynamic similarity.
Determine:
(a) The drag force on the prototype (D_p).
(b) The power required to overcome this drag (P_p).
#### Given:
- **Scale**: 1:5
- **Speed of Prototype (V)**: 65 km/hr
- **Measured Model Drag (D_m)**: 551 N
The equation to use is:
\[
\frac{V_m}{V} = \frac{D}{D_m}
\]
Where:
- \( D \) is the drag force on the prototype.
- \( D_m \) is the drag force on the model.
- \( V_m \) is the model velocity.
- \( V \) is the prototype velocity.
#### Calculation Steps:
(a) **Determine Drag Force on Prototype (D_p):**
\[
D_p = \quad \text{(Calculate and insert here)}
\]
(b) **Calculate Power Required to Overcome Drag (P_p):**
\[
P_p = \quad \text{(Calculate and insert here)}
\]
Note that power (P_p) can be calculated using the relationship:
\[
P_p = \frac{D_p \times V}{375}
\]
Where,
- \( P_p \) is in horsepower (hp).
- \( D_p \) is in Newtons (N).
- \( V \) is in km/hr.
### Input Fields:
- (a) Drag Force \( D_p \) in Newtons (N)
- (b) Power \( P_p \) in horsepower (hp)
This problem helps understand the principles of model testing and scaling in aerodynamic studies.
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