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 m2m2 to the wind centered at a height of 7.0 mm above the ground. (These are reasonable values for forest trees. *Part A If the wind blows at 6.5 m/sm/s, what is the magnitude of the drag force of the wind on the canopy? Assume a drag coefficient of 0.50 and the density of air of 1.2 kg/m3kg/m3. Express your answer with the appropriate units. *Part B What torque does this force exert on the tree, measured about the point where the trunk meets the ground? Express your answer with the appropriate units.
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 m2m2 to the wind centered at a height of 7.0 mm above the ground. (These are reasonable values for forest trees. *Part A If the wind blows at 6.5 m/sm/s, what is the magnitude of the drag force of the wind on the canopy? Assume a drag coefficient of 0.50 and the density of air of 1.2 kg/m3kg/m3. Express your answer with the appropriate units. *Part B What torque does this force exert on the tree, measured about the point where the trunk meets the ground? Express your answer with the appropriate units.
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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 m2m2 to the wind centered at a height of 7.0 mm above the ground. (These are reasonable values for forest trees.
*Part A
If the wind blows at 6.5 m/sm/s, what is the magnitude of the drag force of the wind on the canopy? Assume a drag coefficient of 0.50 and the density of air of 1.2 kg/m3kg/m3.
Express your answer with the appropriate units.
*Part B
What torque does this force exert on the tree, measured about the point where the trunk meets the ground?
Express your answer with the appropriate units.
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