High School

Suppose you exert a force of 197 N tangentially to a 0.275 m radius, 75.0 kg grindstone (a solid disk).

(a) What torque (in N*m) is exerted? (Enter the magnitude only and give your answer to at least 2 decimal places.)

Answer :

The torque exerted on the grindstone is calculated by multiplying the radius of the grindstone (0.275m) by the force applied (197N), resulting in a torque of 54.175 N*m.

The question is asking to calculate the torque exerted on a grindstone when a tangential force is applied. To find the torque, you can use the formula au = r * F * sin( heta), where au represents torque, r is the radius, F is the applied force, and heta is the angle between the force and radius vector. In this case, since the force is tangential, the angle is 90 degrees, and thus, sin( heta) is equal to 1. Therefore, the torque is simply the product of the force and the radius of the grindstone.

Torque exerted = Radius of grindstone (0.275m) * Force (197N)

Torque = 0.275m * 197N = 54.175 N*m

This is the answer to part (a) of the question, which requires the calculation of the magnitude of the torque exerted on the grindstone.