A solid disk rotates in the horizontal plane atan angular velocity of 0.067 rad/

Question

      A solid disk rotates in the horizontal plane atan angular velocity of 0.067 rad/s with respect to an axisperpendicular to the disk at tis center. The moment of inertia ofthe disk is 0.10 kg·m2. From above, sand is dropped straightdown onto this rotating disk, so that a thin uniform ring of sandis formed at a distance of 0.40m from the axis. The sand in thering has a mass of 0.50kg. After all the sand is in place, what isthe angular velocity of the disk?       A solid disk rotates in the horizontal plane atan angular velocity of 0.067 rad/s with respect to an axisperpendicular to the disk at tis center. The moment of inertia ofthe disk is 0.10 kg·m2. From above, sand is dropped straightdown onto this rotating disk, so that a thin uniform ring of sandis formed at a distance of 0.40m from the axis. The sand in thering has a mass of 0.50kg. After all the sand is in place, what isthe angular velocity of the disk?

Explanation / Answer

moment of the system is unchanged. moment of inertia of the ring of ash is 0,5*0,4^2=0,08(kgm2). so moment of inertia of system. 0,1+0,08=0,18(kgm2). we have *0,18=0,067*0,1 so =0,0372(rad/s)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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