What is the total net torque produced on the airplane in the image below if the tail force of 150 Newtons acts 6 meters (tarm) from the Center of Gravity (CG), and the lift of 688 Newtons produced by the main wing acts 2 meters (warm) from the CG? Refer to the image for the directions the forces act.

Remember Torques can be positive and negative, your answer should reflect this. Give the numerical value of the total net torque on the plane rounded to the nearest whole number.

Question

What is the total net torque produced on the airplane in the image below if the tail force of 150 Newtons acts 6 meters (tarm) from the Center of Gravity (CG), and the lift of 688 Newtons produced by the main wing acts 2 meters (warm) from the CG? Refer to the image for the directions the forces act.

Remember Torques can be positive and negative, your answer should reflect this. Give the numerical value of the total net torque on the plane rounded to the nearest whole number.

BlackTom AI · Accepted Answer

The task asks for the total net torque about the airplane's Center of Gravity (CG) due to two forces: a tail force of 150 N acting 6 m from the CG, and a main-wing lift of 688 N acting 2 m from the CG.

First, I identify the torques produced by each force about the CG. Torque is calculated as τ = F × r, where F is the force and r is the perpendicular distance from the pivot (CG) to the line of action of the force. The sign (positive or negative) depends on the chosen convention for rotation direction.

- Tail force: 150 N acting at 6 m from the CG. The tail force is typically directed downward in many aircraft configurations, which tends to rotate the airplane in a certain direction about the CG. If we assign upward lift as positive torque and treat the tail force as producing a negative torque (since it acts downward), its contribution is τ_tail = - (150 N × 6 m) = -900 N·m.

- Wing lift: 688 N acting 2 m from the CG. Lift acts upward, which tends to rotate the airplane in the opposite sense to the tail force. Its contribution is τ_wing = + (688 N × 2 m) = +1,376 N·m.

Next, I sum the torques to obtain the net torque about the CG:
Net τ = τ_wing + τ_tail = 1,376 N·m + (-900 N·m) = 476 N·m.

Finally, I note that the problem requests the value rounded to the nearest whole number, which in this case remains 476 N·m.

In summary, the positive net torque of +476 N·m indicates the wing lift torque dominates over the tail torque in the chosen sign convention, yielding a net rotation in the CCW direction (as defined by the positive torque). The calculation explicitly shows how each force-distance product contributes to the final result and why the tail force reduces the net torque relative to the wing lift.

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类似问题

Problem 18a. (2 points) a) With reference ... about point A.

If the weight in a wheelbarrow is 400 lbs and is 15 inches from the center of the wheel, and the handles are 60 inches from the center of the wheel, how much force is required to lift the wheelbarrow?

Choose the answers that best represent appropriate sign and magnitude conventions for finding the torque about a pivot. Select all that you consider to be true.

Choose the answers that best represent appropriate sign and magnitude conventions for finding the torque about a pivot. Select all that you consider to be true.

True or False: Torque is a vector quantity; the direction of the torque matters.

In reference to the image below, if you applied force on the door at different places on the door, __C __represents the place that would make it easiest (require the least effort force) to open the door. This position has the __longest __ moment arm for the effort.

Torque is force multiplied by __moment arm __. In the diagram below, the line of force that produces torque on the ball is __B __?

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希望你的学习变得更简单

In reference to the image below, if you applied force on the door at different places on the door, C represents the place that would make it easiest (require the least effort force) to open the door. This position has the longest moment arm for the effort.

Torque is force multiplied by moment arm . In the diagram below, the line of force that produces torque on the ball is B ?