We can model a pine tree in the forest as having a compact canopy at the top of a relatively bare trunk Wind blowing on the top of the tree exerts a horizontal force, and thus a torque that can topple the tree if there is no opposing torque Suppose a trees canopy presents an area of 9 0 m 2 to the wind centered at a height of 7 0 m above the ground (These are reasonable values for forest trees ) If the wind blows at 6 5 m s a What is the magnitude of the drag force of the wind on the canopy Assume a drag coefficient of 0 50 b What torque does this force exert on the tree, measured about the point where the trunk meets the ground

Question: We can model a pine tree in the forest as having a compact canopy at the top of a relatively bare trunk. Wind blowing on

We can model a pine tree in the forest as having a compact canopy at the top of a relatively bare trunk. Wind blowing on the top of the tree exerts a horizontal force, and thus a torque that can topple the tree if there is no opposing torque. Suppose a tree’s canopy presents an area of 9.0 m² to the wind centered at a height of 7.0 m above the ground. (These are reasonable values for forest trees.) If the wind blows at 6.5 m/s: a. What is the magnitude of the drag force of the wind on the canopy? Assume a drag coefficient of 0.50. b. What torque does this force exert on the tree, measured about the point where the trunk meets the ground?

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