Suppose a 40-kg child is on the roundabout. Treat the roundabout as a 50-kg solid cylinder with a radius of 2 m that rotates about its center. The child begins 2 m from the center of the roundabout and the roundabout has an angular velocity of 0.3 rev/s. The child then moves to 0.5 m from the center of the roundabout. What is the final angular velocity?

Suppose a 40-kg child is on the roundabout. Treat the roundabout as a 50-kg solid cylinder with a radius of 2 m that rotates about its center. The child begins 2 m from the center of the roundabout and the roundabout has an angular velocity of 0.3 rev/s. The child then moves to 0.5 m from the center of the roundabout. What is the final angular velocity?

Related questions

Q: Bob gets a summer job operating a merry-go-round. During the first run he sees that a full…

Q: You want to centrifuge at 2660 g and the centrifuge has a radius of rotation of 9.5 cm. What RPM…

Q: The tire of a large truck has a radius of .5m and rolls without slipping on a horizontal plane. A…

A: The relation between angular and linear velocity in rotational mechanics isgiven…

Q: A ball is attached to a string and rotates in a circle. If it takes 1.00 s to complete one…

Q: You have a grindstone (a disk) that is 198.641 kg, has a 0.699-m radius, and is turning at 97.425…

A: Givenmass of the grinstone M=198.641 kgradius of the grindstone R=0.699 minitial angular speed…

Q: When some stars use up their fuel, they undergo a catastrophic explosion called a supernova. This…

A: The moment of inertia of a sphere having radius R.

Q: Jennifer decided to install a ceiling fan in the master bedroom. After a laborious installation, she…

A: initial angular speed (w) = 0 final angular speed = 120 rev/min = 2 rev/sec = 12.57 rad/s t = 20…

Q: The tub of a washing machine is initially at rest. When the tub begins to spin, it makes 3 complete…

Q: Joey, whose mass is 36 kg, stands at the center of a 200 kg merrygo- round that is rotating once…

A: Given mass of Joey m=36 kgmass of merry go round m1=200 kgWhen Joey is all the centerIt is…

Q: There is person with a mass of 45 kg who is standing at the center of a turntable that is rotating…

A: Mass of person, Initial angular velocity, The turntable is a uniform disk- Radius, R=2.4 m Mass ,…

Q: Three children are riding on the edge of a merry‑go‑round that has a mass of 105 kg and a radius of…

Q: A straight circular cylinder with a mass of 5.0 kg and a radius of 20 cm can rotate about the axis…

A: Given, Mass of cylinder, M=5 kg. Radius, R=20 cm. Torque, τ=4.0 Nm. Rotation period, t=8.0 s.…

Q: In a softball windmill pitch, the pitcher rotates her arm through just over half a circle, bringing…

A: Given data *The initial angular velocity is ωi = 12.0 rad/s *The final angular velocity is ωf = 24.0…

Q: A gyroscope has a 0.9 kg disk that spins around its axis of symmetry at 32 rev/s. The center of mass…

A: According to question--- Given that--- mass = 0.9 kg. Angular frequency = 32 rev /sec. R = 18 cm.…

Q: A 4.50-kg centrifuge takes 200 s to spin up from rest to its final angular speed with constant…

A: Angular velocity is defined as the rate of change of angular displacement with time. Angular…

Q: Zorch, an archenemy of Superman, decides to slow Earth's rotation to once per 29 h exerting a force…

A: It is an easy question. Now first thing we have to do is to convert time period to angular velocity…

Q: an Athlete swings a 5.1 kg ball horizontally on the end of a rope. The ball moves in a circle of…

A: Here ,omega = 0.7rev/s R=1.2m Speed ,V=omega×R V=omegaRsin90°;

Q: A playground ride consists of a disk of mass M = 38 kg and radius R = 1.5 m mounted on a…

Q: A 44 kg girl is seated in the middle of a 4.6 m diameter merry-go-round. The merry-go-round disc has…

A: Given,

Q: Three children are riding on the edge of a merry-go-round that has a mass of 105 kg and a radius of…

Q: An ultracentrifuge is a scientific instrument that spins samples at high accelerations to cause…

A: The radial acceleration, ar, of a point rotating with a radius, r, around an axis with an angular…

Q: A 43 kg boy is seated at the edge of a 5.0 m diameter merry go round. The merry-go-round disc has a…

A: mass of boy, m = 43 kg mass of disc, M = 90kg radius, R = 2.5 m Angular velocity, w = 18 rpm…

Q: Three children are riding on the edge of a merry-goround that is 100 kg, has a 1.60-m radius, and is…

A: Given data: Mass of the marry – go – round, M=100 kg Radius, r=1.60 m Initial angular velocity,…

Q: A playground ride consists of a disk of mass M = 38 kg and radius R = 1.5 m mounted on a…

Q: A 3m diameter merry-go-round with a mass of 250kg is spinning at 20 rpm. John runs tangent to the…

A: diameter (d) = 3 m Mass of merry go round (m) = 250 kg Initial speed (u) = 5 msInitial angular speed…

Q: A hamster is sprinting around a circular track. It is sprinting at a speed of 4 meters per second.…

A: Write the given values with the suitable variables. v=4 m/sm=1.2 kgr=234 m Here, v is the speed, m…

Q: A bike (including wheels) and rider have a combined mass of 68.5 kg and the two wheels of the bike…

A: Detailed solution is given below:

Q: A turntable is off and is not spinning. A 1.5 g ant is on the disc and is 10 cm away from the…

A: Soluction

Q: A merry-go-round is a common piece of playground equipment. A 3.0-mm-diameter merry-go-round, which…

A: The objective of the question is to find the angular velocity of the merry-go-round after John jumps…

Q: solid sphere with a mass of 2.00 kg and a radius of 50.0 cm is rolled towards the bottom of a ramp.…

Q: A 30-kg child is sitting 5.0 m from the center of a 500-kg merry-go-round that is rotating…

A: Given Mass of child m=30kg Mass of merry-go round M=500kg Distance of child from centre r=5m…

Q: Three children are riding on the edge of a merry-go-round that has a mass of 105 kg and a radius of…

Q: A compact disk on a CD player rotates clockwise. The disk completes one revolution in 0.332 s. (a)…

A: Given Time taken to complete one revolution t=0.332sDistance of point r=4.73cm=0.0473 m

Q: A vinyl record on a turntable rotates at 33 rev/min. (a) What is its angular speed in radians per…

Q: Three children are riding on the edge of a merry‑go‑round that has a mass of 105 kg and a radius…

Q: Three children are riding on the edge of a merry‑go‑round that has a mass of 105 kg and a radius of…

A: In the given question We have to determine new angular speed in rpm.

Q: A bike (including wheels) and rider have a combined mass of 68.5 kg and the two wheels of the bike…

A: Combined mass of bike and the rider=68.5kgInitial velocity u=3.25m/s∴ Initial kinetic…

Q: In the very Dutch sport of ducth-dude-on-a-pole, athletes run up to a long pole and then use it to…

A: Given that:Mass of the vaulter, m= 70 kgTangential speed, v= 3.5 m/sRadius of arc, r= 5.0 mTo…

Q: A particular DVD player has an operational angular velocity of 2500 rpm. We model the spinning DVD…

Q: A compact disk of diameter 8 cm starts from rest and speeds up uniformly to 2 rev/s in 4.0 seconds.…

Question

Definition Definition Rate of change of angular displacement. Angular velocity indicates how fast an object is rotating. It is a vector quantity and has both magnitude and direction. The magnitude of angular velocity is represented by the length of the vector and the direction of angular velocity is represented by the right-hand thumb rule. It is generally represented by ω.

Expert Solution