If the lever arm is doubled while keeping the force constant, how does the torqu

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Question: If the lever arm is doubled while keeping the force constant, how does the torque change?

Options:

Correct Answer: It doubles

Solution:

Torque is directly proportional to the lever arm; if the lever arm is doubled, the torque also doubles.

If the lever arm is doubled while keeping the force constant, how does the torque change?

If the lever arm is doubled while keeping the force constant, how does the torque change?

Step 1: Understand what torque is. Torque is a measure of how much a force acting on an object causes that object to rotate.
Step 2: Identify the formula for torque. The formula is Torque = Force x Lever Arm.
Step 3: Note that the lever arm is the distance from the pivot point to where the force is applied.
Step 4: If the lever arm is doubled, it means you are increasing the distance from the pivot point to where the force is applied.
Step 5: Since torque is directly proportional to the lever arm, if you double the lever arm, the torque will also double.
Step 6: Conclude that if the lever arm is doubled while keeping the force constant, the torque changes by also doubling.

Torque – Torque is the rotational equivalent of linear force, calculated as the product of force and the lever arm distance from the pivot point.
Lever Arm – The lever arm is the perpendicular distance from the line of action of the force to the pivot point.
Proportionality – Torque is directly proportional to both the force applied and the length of the lever arm.