Matlab

10 m 1. SOLVING SYSTEMS OF EQUATIONS (15 PTS) Given the highly simplified model of a wind turbine as shown in Fig 1. In this modal, the origin is considered to be the bottom right corner of the tower. In the bottom left is a bolt that when the wind blows from the left, is put under tension, preventing the structure from toppling. Create a system of equations based on the supplied parameters and applied loads and solve for successively faster wind speeds to find the speed at which the turbine should be shut down based on the tension in the restraining bolt becoming too great to keep the tower from tipping. Fa = = CpAv2 20 m 500N C= 1.12 W = 500 N p= 1.21 kg/m TFail = 1.1211x106N +3m Where Fd is the force of the wind on the blades at any speed v, C is the drag coefficient, p is the density of air, Fig. 1. Simplified model of wind turbine where the blades are assumed to be a flat, circular disk 10m in radius. The tower is 3 m wide at it's base and 20 m high. ENGR 131 ZZZ-90-100-01-B (Midterm Instructions) 2/25/2020 Page 1 of 3 and A is the area of the disk. The weight, W, of the structure is centered in the tower. TFail is the load at which the bolt holding down the structure will begin to fail. Report the shutdown speed to the command window in km/hr. 10 m 1. SOLVING SYSTEMS OF EQUATIONS (15 PTS) Given the highly simplified model of a wind turbine as shown in Fig 1. In this modal, the origin is considered to be the bottom right corner of the tower. In the bottom left is a bolt that when the wind blows from the left, is put under tension, preventing the structure from toppling. Create a system of equations based on the supplied parameters and applied loads and solve for successively faster wind speeds to find the speed at which the turbine should be shut down based on the tension in the restraining bolt becoming too great to keep the tower from tipping. Fa = = CpAv2 20 m 500N C= 1.12 W = 500 N p= 1.21 kg/m TFail = 1.1211x106N +3m Where Fd is the force of the wind on the blades at any speed v, C is the drag coefficient, p is the density of air, Fig. 1. Simplified model of wind turbine where the blades are assumed to be a flat, circular disk 10m in radius. The tower is 3 m wide at it's base and 20 m high. ENGR 131 ZZZ-90-100-01-B (Midterm Instructions) 2/25/2020 Page 1 of 3 and A is the area of the disk. The weight, W, of the structure is centered in the tower. TFail is the load at which the bolt holding down the structure will begin to fail. Report the shutdown speed to the command window in km/hr