At a track and field meet a discus is thrown so that it spins at 5 revolutions per sccond and moves forward at 8.0 m/s. The discus can be considered a uniform cylinder with a mass of 2.0 kg and radius of 0.11 m. (a) What is the angular speed of rotation of the discus, in rad/s? (b) What is the rotational kinetic energy of the discus? (c) What is the total kinetic energy (rotational plus translational) of the discus?

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Chapter1: Units, Trigonometry. And Vectors
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can you help with 8 sub parts a, b, and c 

**Physics Problem Set**

**8. Track and Field Discus Rotation**

A discus is thrown at a track and field meet, spinning at 5 revolutions per second and moving forward at 8.0 m/s. The discus is modeled as a uniform cylinder with a mass of 2.0 kg and radius of 0.11 m.

- (a) Calculate the angular speed of rotation of the discus, in rad/s.
- (b) Determine the rotational kinetic energy of the discus.
- (c) Compute the total kinetic energy (rotational plus translational) of the discus.

**9. Door Torque Problem**

Consider a force exerted on a door at Northside Hall. The force is 50 N and is applied perpendicular to the plane of the door. The door has a width of 1.0 m.

- (a) If the force is applied at the door's edge, what is the magnitude of the torque on the swinging door, assuming the hinge is the pivot point?
- (b) Sketch the situation, indicating the directions of the force and the torque in your diagram.

**Diagram Description:**

- For Question 9(b), a simple sketch should include a door with a marked pivot point at the hinge. Show the direction of the applied force perpendicular to the door's edge. Indicate the direction of the resulting torque (rotation around the hinge).
Transcribed Image Text:**Physics Problem Set** **8. Track and Field Discus Rotation** A discus is thrown at a track and field meet, spinning at 5 revolutions per second and moving forward at 8.0 m/s. The discus is modeled as a uniform cylinder with a mass of 2.0 kg and radius of 0.11 m. - (a) Calculate the angular speed of rotation of the discus, in rad/s. - (b) Determine the rotational kinetic energy of the discus. - (c) Compute the total kinetic energy (rotational plus translational) of the discus. **9. Door Torque Problem** Consider a force exerted on a door at Northside Hall. The force is 50 N and is applied perpendicular to the plane of the door. The door has a width of 1.0 m. - (a) If the force is applied at the door's edge, what is the magnitude of the torque on the swinging door, assuming the hinge is the pivot point? - (b) Sketch the situation, indicating the directions of the force and the torque in your diagram. **Diagram Description:** - For Question 9(b), a simple sketch should include a door with a marked pivot point at the hinge. Show the direction of the applied force perpendicular to the door's edge. Indicate the direction of the resulting torque (rotation around the hinge).
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