- An 80 kg man stands in a very strong wind moving at 13 m/s attorso height. As you know, he will need to lean in to the wind, andwe can model the situation to see why. Assume that the man has amass of 80 kg, with a center of gravity 1.0 mabove the ground. Theaction of the wind on his torso, which we approximate as a cylinder50 cmwide and 90 cm long centered 1.2 m above the ground, producesa force that tries to tip him over backward. To keep from fallingover, he must lean forward.
-Part A: What is the magnitude of the torque provided by thewind force? Take the pivot point at his feet. Assume that he isstanding vertically. Assume that the air is at standard temperatureand pressure. Express your answer with the appropriate units.
Ï„ =
-Part B: At what angle to the vertical must the man lean toprovide a gravitational torque that is equal to this torque due tothe wind force?Express your answer in degrees.
θ =
