Which of the following will result in the largest torque being applied to a door on hinges? The door measures 1 meter in diameter. Pushing on the door at an angle of 180° and 1.0 centimeter away from the hinges Pulling on the door at a 180° angle and 1.0 meter away from the hinges Pushing on the door at a 90° angle and 1.0 meter away from the hinges Pushing on the door at an angle of 45° and 1.0 meter away from the hinges Pulling on the door at an angle of 90° and 1.0 centimeter away from the hinges

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Question:**

Which of the following will result in the largest torque being applied to a door on hinges? The door measures 1 meter in diameter.

**Options:**

- Pushing on the door at an angle of 180° and 1.0 centimeter away from the hinges
- Pulling on the door at a 180° angle and 1.0 meter away from the hinges
- Pushing on the door at a 90° angle and 1.0 meter away from the hinges
- Pushing on the door at an angle of 45° and 1.0 meter away from the hinges
- Pulling on the door at an angle of 90° and 1.0 centimeter away from the hinges

**Explanation:**

Torque is calculated using the formula:

\[ \text{Torque} = \text{Force} \times \text{Distance} \times \sin(\text{Angle}) \]

- The greatest torque is produced when the force is applied perpendicularly (90°) to the lever arm, at the furthest distance from the pivot (hinges).
- The best strategy for generating the largest torque is to push or pull at 90° angles, applying the force farthest from the hinges.
Transcribed Image Text:**Question:** Which of the following will result in the largest torque being applied to a door on hinges? The door measures 1 meter in diameter. **Options:** - Pushing on the door at an angle of 180° and 1.0 centimeter away from the hinges - Pulling on the door at a 180° angle and 1.0 meter away from the hinges - Pushing on the door at a 90° angle and 1.0 meter away from the hinges - Pushing on the door at an angle of 45° and 1.0 meter away from the hinges - Pulling on the door at an angle of 90° and 1.0 centimeter away from the hinges **Explanation:** Torque is calculated using the formula: \[ \text{Torque} = \text{Force} \times \text{Distance} \times \sin(\text{Angle}) \] - The greatest torque is produced when the force is applied perpendicularly (90°) to the lever arm, at the furthest distance from the pivot (hinges). - The best strategy for generating the largest torque is to push or pull at 90° angles, applying the force farthest from the hinges.
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