Fnal Answer:
Torque exists even when the applied force is not perpendicular as it is determined by the force's magnitude, the lever arm length, and the angle between the force and the lever arm. Torque can be calculated using the formula: Torque = Force × Lever Arm × sin(θ).The correct option is 1) Yes.
Step-by-step explanation:
Torque is a measure of the rotational force applied to an object. It exists even when the applied force is not perpendicular. When a force is applied at an angle to the lever arm (the perpendicular distance from the pivot point to the line of action of the force), it creates a torque. This torque can be calculated using the formula: Torque = Force × Lever Arm × sin(θ), where θ is the angle between the force vector and the lever arm.
Imagine a simple scenario where a force F is applied at an angle θ to a lever arm of length r. The torque τ produced can be calculated using the equation τ = F × r × sin(θ). For instance, if a force of 10 Newtons is applied at a 30-degree angle to a lever arm of 5 meters, the torque would be τ = 10 N × 5 m × sin(30°) = 25 Nm. This showcases that even with an applied force at an angle, torque is present and can be calculated using trigonometric functions.
Understanding that torque involves both the magnitude of the force and the lever arm's length, along with the angle between them, is crucial. Whether perpendicular or at an angle, the force's effectiveness in causing rotational motion depends not only on its magnitude but also on the lever arm's length and the angle of application. Hence, torque indeed exists even when the applied force is not perpendicular, as long as there's a component causing rotational force around a pivot point.