If the angle between the force and the lever arm is 90 degrees, how does it affe

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Question: If the angle between the force and the lever arm is 90 degrees, how does it affect the torque?

Options:

Correct Answer: Torque is maximum

Solution:

Torque is maximum when the angle is 90 degrees because τ = F × r × sin(θ) and sin(90°) = 1.

If the angle between the force and the lever arm is 90 degrees, how does it affect the torque?

If the angle between the force and the lever arm is 90 degrees, how does it affect the torque?

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: Know the formula for torque, which is τ = F × r × sin(θ). Here, τ is torque, F is the force applied, r is the distance from the pivot point to where the force is applied (lever arm), and θ is the angle between the force and the lever arm.
Step 3: Identify the angle in the question. The question states that the angle (θ) is 90 degrees.
Step 4: Calculate sin(90°). The sine of 90 degrees is 1 (sin(90°) = 1).
Step 5: Substitute the angle into the torque formula. When θ is 90 degrees, the formula becomes τ = F × r × 1.
Step 6: Simplify the formula. This means τ = F × r, which shows that torque is maximized when the angle is 90 degrees.
Step 7: Conclude that when the angle is 90 degrees, the torque is at its maximum value because the force is applied in the most effective direction for rotation.

Torque – Torque is the rotational equivalent of linear force, calculated as the product of the force applied, the distance from the pivot point (lever arm), and the sine of the angle between the force and the lever arm.
Angle and Torque Relationship – The angle between the force and the lever arm directly affects the torque produced; specifically, torque is maximized when this angle is 90 degrees.