Final answer:
Torque is calculated using the formula τ = rFsin(θ), by plugging in the values for radius, force, and the angle at which the force is applied in degrees. The resultant torque can be found by first finding the sine of the angle, then multiplying it with the given radius and the applied force.
Step-by-step explanation:
The subject of the question involves calculating the torque produced when a force is applied at an angle to a pivot. To calculate the torque, which is the measure of the force causing an object to rotate, the equation τ = rFsin(θ) is used, where τ is the torque, r is the radius at which the force is applied, F is the magnitude of the force, and θ is the angle between the force vector and the radius vector.
In this scenario, the force applied is 180 N and the radius given is 0.280 m. The angle at which the force is applied is 71.7º. Hence, the torque produced can be calculated as:
τ = rFsin(θ) = 0.280 m * 180 N * sin(71.7º)
To solve for the torque, we can calculate the sine of 71.7º using a scientific calculator and then multiply by the radius and force given.