Question

What is the torque τ, in newton meters, you are exerting on the grindstone, relative to the center of mass of the grindstone?

Answer 1

The torque exerted by applying a force of 180 N tangentially to a grindstone with a radius of 0.280 meters is calculated to be 50.4 newton meters.

Step-by-step explanation:

Torque Exerted on a Grindstone

When you exert a force tangentially to a grindstone, you create a torque which can be calculated using the formula τ = r * F * sin(θ), where τ is the torque, r is the radius of the grindstone, F is the force applied, and θ is the angle between the force and the radius of the grindstone, which is 90 degrees in a tangential force scenario.

Given a force of 180 N exerted tangentially on a grindstone with a radius of 0.280 meters, we can calculate the torque as follows:

τ = 0.280 m * 180 N * sin(90°) = 0.280 m * 180 N * 1 = 50.4 N·m

Therefore, the torque exerted is 50.4 newton meters (N·m).