A merry-go-round can be modeled as a solid disk of radius R = 2m and mass M = 20

Question

A merry-go-round can be modeled as a solid disk of radius R = 2m and mass M = 200kg. Two persons, of masses m_1 = 70kg and m_2 = 80kg, are seated on the surface of the disk at distances r_1 = 1.6m and r_2 = 1.2m from the axis of rotation, (a) If we approximate the two persons as point-like, what is the moment of inertia of the system? (b) If the merry-go-round is spun by an electric motor providing a constant torque tau = 60Nm, how long does it take to reach an angular velocity omega = 20rev/min? (c) Calculate the centripetal acceleration of person 1 at 20rev/min.

Explanation / Answer

a) I = 0.5Mr^2 + m1r1^2 + m2r2^2 = 694.4 kgm^2
b) alpha = T/I = 0.0864 rad/s/s
w = alpha*t
t = 24.2268444 sec

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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