Understanding Torque
Torque is a rotational force that tends to cause an object to rotate around an axis. It's calculated using the following formula:
* Torque (τ) = Force (F) x Distance (r) x sin(θ)
Where:
* F is the applied force (in Newtons)
* r is the distance from the axis of rotation (in meters)
* θ is the angle between the force and the lever arm (the distance from the hinge).
Applying the Formula
1. Force (F): 8 N
2. Distance (r): 0.5 m
3. Angle (θ): 45 degrees
Calculation:
τ = 8 N * 0.5 m * sin(45°)
τ = 4 N*m * 0.7071 (sin 45° is approximately 0.7071)
τ ≈ 2.83 N*m
Therefore, the torque exerted by the force is approximately 2.83 N*m.
