If the torque on a rotating object is doubled while the radius remains constant,

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Question: If the torque on a rotating object is doubled while the radius remains constant, what happens to the force applied?

Options:

Correct Answer: It doubles

Solution:

If torque is doubled and radius remains constant, the force must also double to maintain the relationship τ = F × r.

If the torque on a rotating object is doubled while the radius remains constant, what happens to the force applied?

If the torque on a rotating object is doubled while the radius remains constant, what happens to the force applied?

Step 1: Understand the formula for torque, which is τ = F × r, where τ is torque, F is force, and r is radius.
Step 2: Identify that in this problem, the radius (r) remains constant.
Step 3: Recognize that if the torque (τ) is doubled, we can write this as 2τ = F × r.
Step 4: Since r is constant, the only way to make the left side (2τ) equal to the right side (F × r) is to double the force (F).
Step 5: Conclude that if torque is doubled while the radius remains constant, the force must also double.

Torque and Force Relationship – The relationship between torque (τ), force (F), and radius (r) is given by the equation τ = F × r, indicating that torque is the product of force and the distance from the pivot point.