The problem is word for word so I assume they're asking for angular speed.TSny said:Welcome to PF!
Your work looks good. The phrase "how fast does it spin" might refer to angular speed rather than linear speed at the outer rim.
w = 2pi / TTSny said:If they're asking for angular speed, then you need to calculate the angular speed. I believe your answers for the linear speed and period of rotation are correct.
Centripetal force is the force that acts on an object moving in a circular path, pulling it towards the center of the circle. It is always directed towards the center of the circle.
Centripetal force is necessary to maintain circular motion. Without a centripetal force, an object would move in a straight line tangent to the circle.
The formula for centripetal force is Fc = mv^2/r, where Fc is the centripetal force, m is the mass of the object, v is the velocity, and r is the radius of the circle.
The magnitude of centripetal force is affected by the mass of the object, the velocity of the object, and the radius of the circle. As any of these factors increase, the centripetal force also increases.
Centripetal force is directed towards the center of the circle, while centrifugal force is directed away from the center of the circle. Centrifugal force is a fictitious force that arises due to the inertia of the object in circular motion.