WIND FORCE

There is an impact of 3 main forces on the yacht.
1.) Wind force
2.) Kinetic energy (caused by movement of the yacht)
3.) Energy caused by current & waves

Wind pressure results in a major force impact on cleats and ropes. It can be calculated with the following mathematical formula.

F = 0,5 * p * Cw * A * V²

F … wind force [ kg ]
p … air density [ kg/m³ ]
(e.g.: p = 1,293 Kg/m³ at 0°C / p = 1,204 kg/m³ at 20 °C)
Cw … air resistance
(e.g.: round plate = 1,11 / square plate = 1,50 / convex bowl = 0,34 )
A … area exposed to wind [ m² ]
V … wind speed [ m/s ]

Example 40' yacht:
Area exposed to wind: 15 m²
Weight: 10 tons
Air density p: 1,204 kg/m³
Air resistance Cw: 0,75

Wind speed

wind force

 

 

[Km/h]

[m/s]

kg/m²

kg

 

 

10

2,8

0,4

5,3

 

Light air, wind force 1 (bf)

30

8,3

3,2

47,9

 

Moderate breeze, wind force 4 (bf)

50

13,9

8,9

133,2

 

Strong breeze, wind force 6 (bf)

75

20,8

20,0

299,6

 

Fresh gale, wind force 8 (bf)

100

27,8

35,5

532,7

 

Whole gale/storm, wind force 10 (bf)

125

34,7

55,5

832,3

 

Hurricane 1/2, wind force 12 (bf)

150

41,7

79,9

1.198,6

 

Hurricane 3

200

55,6

142,1

2.130,8

 

Hurricane 4

Force on 1m²  

     Force on 40' yacht


AT A GLANCE




Wind speed  follows an  exponential curve

Twice the wind speed results in 4 times the wind force!