Ratonyia and Erin arewaiting in line to ride the carousel. Erin asks the operato

Question

Ratonyia and Erin arewaiting in line to ride the carousel. Erin asks the operatorhow fast the horses go and is surprised to learn that the horses onthe edge travel at a speed of 5.0 m/s (more than 11 mph). That’s an angular velocity () of 0.070 radians persecond. She had a little too much pizza for lunch andisn’t sure she wants to get on the ride. With herknowledge of physics, Ratonyia convinces her that she’ll befine if she rides one of the horses on the interior. Ratonyiaestimates that the interior horses are only 7.0 meters from thecenter of the circle. Calculate Erin’s speed andangular momentum. Her mass is 53 kg.

The Gravitron is aride that rotates around a central axis until it reaches a certainvelocity and the riders are pinned to the walls. Once thisoccurs, the floor is lowered until the riders are suspended abovethe floor. The Gravitron has a radius of 3.00 meters andreaches a speed of 15.0 m/s. Dalnita has a mass of 55.0kg. What is her angular velocity in rotations persecond?

While riding themerry-go-round at the playground, Monique, who has a mass of 45 kg,is traveling at a speed of 10.0 m/s. Her angular momentum is900 kg m2/s. How far is she sitting from thecenter of the merry-go-round

Explanation / Answer

(a) riding the horse, 7.0 meters from thecenter... .     speed = r = 7.0 * 0.070 rad/s =   0.49 m/s .    angularmomentum = m v r = 53 * 0.49 * 7.0 =   182 kg-m2 / s . (b) angular velocity on the gravitron:     = v /r = 15 / 3 = 5 radians persecond = 0.796rotations per second . (c)    angular momentum = m vr    .           900 = 45 * 10 *   r .          r =   2.0 meters

Related Questions

Navigate

• Browse (All)
• Browse R
• Subjects

---

---

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