Chapter 09, Problem 61 GO Conceptual Example 14 provides useful background for t

Question

Chapter 09, Problem 61 GO Conceptual Example 14 provides useful background for this problem. A playground carousel is free to rotate about its center on frictionless bearings, and air resistance is negligible. The carousel itself (without riders) has a moment of inertia of 125 kg-m. When one person is standing on the carousel at a distance of 1.50 m from the center, the carousel has an angular velocity of 0.600 rad/s. However, as this person moves inward to a point located 0.787 m from the center, the angular velocity increases to 0.800 rad/s. What is the person's mass? the tolerance is +/-2% LINK TO TEXT By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor. Question Attempts: 0 of 6 used SAVE FOR LATER SUBMIT ANSWER MapleNet powered by

Explanation / Answer

here ,

let the mass of the person is m

NOw , in absense of the external torque

initial angular momentum = final angular momentum

(125 + m * 1.50^2) * 0.60 = (125 + m * 0.787^2) * 0.80

solving for m

m = 29.5 Kg

the mass of person is 29.5 Kg

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

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