If the torque is doubled while keeping the distance constant, what happens to th

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Question: If the torque is doubled while keeping the distance constant, what happens to the force applied?

Options:

Correct Answer: It doubles

Solution:

Torque = Force × Distance; if Torque is doubled and Distance is constant, Force must also double.

If the torque is doubled while keeping the distance constant, what happens to the force applied?

If the torque is doubled while keeping the distance constant, what happens to the force applied?

Step 1: Understand what torque is. Torque is the measure of how much a force acting on an object causes that object to rotate.
Step 2: Know the formula for torque: Torque = Force × Distance.
Step 3: Identify that in this question, the distance is kept constant.
Step 4: Recognize that if the torque is doubled, we can write it as: New Torque = 2 × Original Torque.
Step 5: Since Distance is constant, we can rewrite the torque formula for both original and new torque: Original Torque = Original Force × Distance and New Torque = New Force × Distance.
Step 6: Set the new torque equal to the doubled original torque: New Force × Distance = 2 × (Original Force × Distance).
Step 7: Since Distance is the same on both sides, we can divide both sides by Distance: New Force = 2 × Original Force.
Step 8: Conclude that if the torque is doubled while keeping the distance constant, the force applied must also double.

Torque and Force Relationship – Torque is the product of force and the distance from the pivot point; if torque increases while distance remains constant, force must increase proportionally.