A 75 kg runner runs around the edge of a horizontal turntable mounted on a verti

Question

A 75 kg runner runs around the edge of a horizontal turntable mounted on a vertical frictionless axis through its center. The runner’s velocity relative to the earth has magnitude 2.8 m/s. The turntable is rotated in the same direction with an angular velocity of magnitude 0.30 rad/s relative to the earth.

The radius of the turntable is 3.0 m and its moment of inertia about the axis of rotation is 90 kg·m2. Find the final angular velocity of the system if the runner comes to rest relative to the turntable (you can model the runner as a particle).

Explanation / Answer

runner will comes to rest relative to turntable when his angular velocity will be equal to angular velocity of table that is ? so final speed of runner vf w.r.t to groumd = ?r angular momentum will be same in final and initial condition , 75 X 2.8 X 3 + 90 X 0.30 = 75 X ? x 3 + 90 X ? 657 = 315? ? = 2.09 rad/sec

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.