Explanation:
To calculate the friction drag force acting on the top and side surfaces, we first need to determine the drag coefficient (Cd) for a rectangular box. For a rectangular box with turbulent airflow, the drag coefficient can be estimated using empirical data or CFD simulations.
Assuming we have the drag coefficient, we can use the following formula to calculate the drag force:
Drag Force = 0.5 * Cd * A * ρ * V^2
Where:
- Cd is the drag coefficient
- A is the reference area (for a rectangular box, it's the area of the surface facing the flow)
- ρ is the air density
- V is the velocity of the truck relative to the air
Given that the cargo compartment is a rectangular box, we can calculate the reference area for the top and side surfaces:
- For the top surface: A_top = length * width
- For the side surface: A_side = 2 * height * length + 2 * height * width
Now, we can calculate the drag force for the top and side surfaces separately, and then add them to find the total drag force. Once we have the total drag force, we can calculate the power required to overcome this drag using the formula:
Power = Drag Force * Velocity
Given:
- Truck velocity (V) = 95 km/h = 26.3889 m/s
- Air density (ρ) = 1.225 kg/m^3 (at 0°C and 1 atm)
- Dimensions of the cargo compartment:
- Height (h) = 2.5 m
- Width (w) = 2 m
- Length (l) = 6 m
We need the drag coefficient (Cd) to proceed further. If you have that information, we can calculate the power required. Otherwise, we'd need to estimate it or use a standard value.
