Calculate the magnitude of the torque produced by two 25N forces that are 3m apart and in opposite directions

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To calculate the magnitude of the torque produced by the two 25N forces that are 3m apart and in opposite directions, we can use the following formula:

Torque = Force × Distance × sin(θ)

Here's how to find the magnitude of the torque step by step:

Step 1: Determine the force applied.
The problem states that two 25N forces are acting in opposite directions. Since they are in opposite directions, we can assume that one force is acting clockwise and the other counterclockwise. For the purpose of calculating the magnitude of the torque, we can consider both forces as positive. Therefore, the force (F) in this case is 25N.

Step 2: Determine the distance between the forces.
The problem states that the distance between the two forces is given as 3m. Note that the distance used in the torque formula is the perpendicular distance between the force vectors. In this case, since the forces are acting opposite to each other, the perpendicular distance is still 3m.

Step 3: Determine the angle between the force vectors.
Since the two forces are acting in opposite directions, the angle between them is 180 degrees or π radians.

Step 4: Use the formula to calculate the torque magnitude.
Using the formula Torque = Force × Distance × sin(θ), we can calculate the magnitude of the torque:

Torque = 25N × 3m × sin(π) = 25N × 3m × 0 = 0 Nm

Therefore, the magnitude of the torque produced by the two opposite 25N forces that are 3m apart is 0 Nm.