A force of 20 N is applied at an angle of 60 degrees to a lever arm of 2 m. What

A force of 20 N is applied at an angle of 60 degrees to a lever arm of 2 m. What is the torque about the pivot?

A force of 20 N is applied at an angle of 60 degrees to a lever arm of 2 m. What is the torque about the pivot?

Step 1: Identify the force applied, which is 20 N.
Step 2: Identify the distance from the pivot to where the force is applied, which is 2 m.
Step 3: Identify the angle at which the force is applied, which is 60 degrees.
Step 4: Use the formula for torque: Torque = Force × Distance × sin(θ).
Step 5: Substitute the values into the formula: Torque = 20 N × 2 m × sin(60°).
Step 6: Calculate sin(60°), which is √3/2.
Step 7: Substitute sin(60°) into the formula: Torque = 20 N × 2 m × (√3/2).
Step 8: Simplify the equation: Torque = 20 × 2 × (√3/2) = 20√3 Nm.

Torque Calculation – Torque is calculated using the formula Torque = Force × Distance × sin(θ), where θ is the angle between the force and the lever arm.
Trigonometric Functions – Understanding how to apply the sine function to find the effective component of the force that contributes to torque.
Units of Measurement – Recognizing that torque is measured in Newton-meters (Nm) and ensuring unit consistency in calculations.