A model airplane of mass m = 0.750 kg flies with a speed of v = 35.0 m/s in a horizontal circle at the end of a 60.0 -m-long control wire as shown in the figure below. a b The forces exerted on the airplane are shown in figure on the right; the tension in the control wire T→, the weight mg→, and aerodynamic lift force F→L that acts at θ = 20.0∘ to the left of the +y-axis, as shown. The tension force T― makes an angle of θ = 20.0∘ below the horizontal, as shown. Calculate (a) the tension in the control wire [20 pts] and (b) the lift force FL [5 pts].
A model airplane of mass m = 0.750 kg flies with a constant speed v = 35.0 m/s in a horizontal circle at the end of a control wire of length L = 60.0 m as shown in the figure below. The aerodynamic lift force F→lift (shown in the figure) acts at angle θ = 300 inward from the vertical, and the wire makes the same constant angle θ with the horizontal. Figure 8: Problem 2. (a) Draw and label all other forces acting on the airplane. Indicate the direction of the acceleration. (3 pt) (b) What is the radius of the circular path of the airplane? (3 pt) (c) What is the magnitude of the airplane's centripetal acceleration? (3 pt) (d) Find the tension in the wire and the magnitude of the lift force. (11 pt) Bonus: What is the period of one revolution? How many revolutions per one minute does the airplane make? (3 pt)
A model airplane of mass 0.820 kg flies with a speed of 35.0 m/s in a horizontal circle at the end of a 62.0-m-long control wire as shown in Figure (a). The forces exerted on the airplane are shown in Figure (b): the tension in the control wire, the gravitational force, and aerodynamic lift that acts at θ = 20.0∘ inward from the vertical. Compute the radius, lift, and tension in the wire, assuming it makes a constant angle of θ = 20.0∘ with the horizontal. Use g = 9.8 m/s2. radius m lift N tension N