A force of 50 N is applied at an angle of 30 degrees to the lever arm of length

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Question: A force of 50 N is applied at an angle of 30 degrees to the lever arm of length 1 m. What is the torque about the pivot?

Options:

Correct Answer: 43.3 Nm

Solution:

Torque (τ) = F × d × sin(θ) = 50 N × 1 m × sin(30°) = 50 N × 1 m × 0.5 = 25 Nm.

A force of 50 N is applied at an angle of 30 degrees to the lever arm of length 1 m. What is the torque about the pivot?

A force of 50 N is applied at an angle of 30 degrees to the lever arm of length 1 m. What is the torque about the pivot?

Step 1: Identify the force applied, which is 50 N.
Step 2: Identify the length of the lever arm, which is 1 m.
Step 3: Identify the angle at which the force is applied, which is 30 degrees.
Step 4: Use the formula for torque: Torque (τ) = Force (F) × Distance (d) × sin(θ).
Step 5: Substitute the values into the formula: τ = 50 N × 1 m × sin(30°).
Step 6: Calculate sin(30°), which is 0.5.
Step 7: Substitute sin(30°) into the equation: τ = 50 N × 1 m × 0.5.
Step 8: Perform the multiplication: τ = 50 N × 0.5 = 25 Nm.

Torque Calculation – Torque is calculated using the formula τ = F × d × sin(θ), where F is the force applied, d is the distance from the pivot, and 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.