Question
A model airplane with mass $0.750 \mathrm{kg}$ is tethered to the ground by a wire so that it flies in a horizontal circle 30.0 $\mathrm{m}$ in radius. The airplane engine provides a net thrust of $0.800 \mathrm{N}$ perpendicular to the tethering wire. (a) Find the torque the net thrust produces about the center of the circle.(b) Find the angular acceleration of the airplane. (c) Find the translational acceleration of the airplane tangent to its flight path.
Step 1
In this case, the radius $r$ is 30.0 m and the force $F$ is 0.800 N. So, we can substitute these values into the formula to find the torque: \[\tau = rF = 30.0 \, \text{m} \times 0.800 \, \text{N} = 24.0 \, \text{N} \cdot \text{m}\] Show more…
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A model airplane with mass 0.750 kg is tethered by a wire so that it flies in a circle 30.0 m in radius. The airplane engine provides a net thrust of 0.800 N perpendicular to the tethering wire. (a) Find the torque the net thrust produces about the center of the circle. (b) Find the angular acceleration of the airplane when it is in level flight. (c) Find the linear acceleration of the airplane tangent to its flight path.
A model airplane with mass 0.750 $\mathrm{kg}$ is tethered by a wire so that it flies in a circle 30.0 $\mathrm{m}$ in radius. The air- plane engine provides a net thrust of 0.800 $\mathrm{N}$ perpendicular to the tethering wire. (a) Find the torque the net thrust produces about the center of the circle. (b) Find thrust produces about the center of the circle. (b) Find the angular acceleration of the airplane when it is in level flight. (c) Find the translational acceleration of the airplane tangent to its flight path.
A model airplane with mass $0.750 \mathrm{~kg}$ is tethered by a wire so that it flies in a circle $30.0 \mathrm{~m}$ in radius. The airplane engine provides a net thrust of $0.800 \mathrm{~N}$ perpendicular to the tethering wire. (a) Find the torque the net thrust produces about the center of the circle. (b) Find the angular acceleration of the airplane when it is in level flight. (c) Find the linear acceleration of the airplane tangent to its flight path.
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