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?

Question

BlackTom AI · Accepted Answer

To analyze the wheelbarrow problem, we need to consider torque about the wheel's center to determine the lifting force required.
First, identify the torque produced by the weight: the weight is 400 lb and acts 15 inches from the center, so the torque is 400 × 15 = 6000 in-lb in the clockwise direction.
Next, identify the torque produced by the lifting force at the handles: the handles are 60 inches from the center, so the torque due to the lifting force F is F × 60 in-lb in the counterclockwise direction.
For the wheelbarrow to just lift (steady equilibrium before lifting off), these torques must balance, so F × 60 = 6000.
Solve for F: F = 6000 / 60 = 100 lb.
Hence, the force required to lift the wheelbarrow is 100 pounds, assuming negligible friction and that the weight distribution and geometry align with the given lever arms. If any values or units were inconsistent, you would need to convert consistently, but here inches and pounds are already aligned with the torque relation.

AMT&111 36402 Physics for Aviation

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?

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AMT&111 36402 Physics for Aviation

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?

查看解析

登录即可查看完整答案

类似问题

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

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 __?

更多留学生实用工具

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 ?