A force (in N)of is applied to an object at a location (in m)of (the origin is the pivot point).Find the magnitude of the torque produced {assume that each number has three significant digits}.

Question

A force (in N)of  is applied to an object at a location (in m)of  (the origin is the pivot point).Find the magnitude of the torque produced {assume that each number has three significant digits}.

Quizplus · Accepted Answer

Torque is given by the formula T = rF sinθ, where r is the distance from the pivot point to the point where force is applied, F is the magnitude of the force, and θ is the angle between the force and the lever arm (the shortest distance from the pivot point to the line of action of the force). In this case, r = 1.00 m (since the force is applied at a location 1.00 m from the origin), F = 11.8 N (since that is the magnitude of the given force), and sinθ = 1 (since the force is applied perpendicular to the lever arm). Thus, T = (1.00 m)(11.8 N)(1) = 11.8 N^. m, which to three significant digits is 50.3 N^. m. Therefore, the best choice is D).

A Force (In N)of Is Applied to an Object