Final answer:
The torque exerted on the bolt is 25 N·m, calculated using the formula for torque, which multiplies the force applied by the distance from the pivot point.
Step-by-step explanation:
The question is asking to calculate the torque exerted on a bolt by a person using a wrench. Torque (τ) is a measure of the rotational force on an object and is calculated by multiplying the force (F) applied perpendicularly to the lever arm at a distance (r) from the pivot point, typically given by the equation τ = r × F × sin(θ), where θ is the angle between the force vector and the lever arm. In this scenario, as the force is applied perpendicularly, the angle is 90 degrees and the sine of 90 derees is 1.
For the given values, the force is 50 N, and the distance from the bolt is 0.5 meters. Thus, the torque exerted on the bolt can be calculated as follows:
τ = r × F = 0.5 m × 50 N = 25 N·m (newton-meters).