A vinyl record spins freely on a frinctionless turntable. The mass of the record is 0.10 kg, the radius is 0.10 m, the rotational inertia is 5.0 x 10-4 kgm2 and it rotates with angular speed of 4.7 rad/s. A 0.024 kg piece of clay falls on the edge of the record. Determine the angular speed of the record right after the clay sticks to it. Use conservation of momentum.

A vinyl record spins freely on a frinctionless turntable. The mass of the record is 0.10 kg, the radius is 0.10 m, the rotational inertia is 5.0 x 10-4 kgm2 and it rotates with angular speed of 4.7 rad/s. A 0.024 kg piece of clay falls on the edge of the record. Determine the angular speed of the record right after the clay sticks to it. Use conservation of momentum.

Similar questions

4. A cylinder with mass m1 = 2.5 kg and radius r = 20 cm rotates counterclockwise about a vertical axis through its center with angular speed @1=5.0 rad/s. A second cylinder with mass m₂ = 1.0 kg and radius r1= 15 cm rotates clockwise about the same axis with angular speed @2 = 12 rad/s. The upper cylinder is lowered onto the lower one and they couple so they have the same rotational axis. Find the angular speed of the combination. Is kinetic energy conserved? If not, what happened to the a) b) kinetic energy? m₂ = 1.0 kg T2 = 15 cm m₁ = 2.5 kg n W₂ = 12 rad/s T₁ = 20 cm w₁ = 5 rad/s
A ballerina spins initially at 1.56 rev/s when her arms are extended. She then draws in her arms to her body and her moment of inertia becomes 0.82 kg-m², and her angular speed increases to 4.43 rev/s. What was her initial moment of inertia? Give your answer in kg-m².
You are working on a design for a new art installation at the Bo Bartlett Hall at CSU's downtown campus, and your specialty is kinetic art. For the latest installation, you need a solid spinning disk. The disk you have has a mass of mass 15 kg and diameter 2.8 m is rotating at 2.4 rad/s. What is the magnitude of its' angular momentum if it spins about its center? 35 kg m²/s 18 kg m²/s 53 kg m²/s 70 kg m²/s
A playground merry-go-round of radius R = 1.80 m has a moment of inertia I = 255 kg. m² and is rotating at 12.0 rev/min about a frictionless vertical axle. Facing the axle, a 23.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round? rev/min
What is the angular speed in revolutions per minute (rpm) of a 16.9 g CD with a rotational period of 141 seconds? A 0.374 rpm B 0.213 rpm C 0.553 rpm D 0.511 rpm E 0.426 rpm
A potter's wheel, with rotational inertia 12 kg-m², is spinning freely at 40 rpm. The potter drops a lump of clay onto the wheel, where it sticks a distance 1.2 m from the rotational axis. If the subsequent angular speed of the wheel and clay is 32 rpm what is the mass of the clay? 1.4 kg 2.3 kg 1.8 kg O 2.1 kg
The angular speed of a rotating platform changes from W equals 2.8 rads/S to W equals 6.8 rad/S at a constant rate as a platform moves through an angle 5.5 rad. The platform has a radius of R equals 28 cm w0=2.8rad/s w=6.8rad/s 0=5.5 radians r=28cm calculate the angular acceleration of the platform a in rad per second squared calculate the tangential acceleration, aT in meters per second squared of a point on the surface of the platform at the outer edge
A merry-go-round with a radius of 2.2m rotates 10.0 times every 5.00s. The merry go round has a mass of 100.0 kg. What is the ride’s angular momentum? If a torque of 5 N*m is applied for 15.0s, what is the change in the angular momentum?
A ball rolls on the ground at a speed of 3.0 m/s without slipping. If the radius of the ball is 10 cm, what is the angular speed of the ball? Multiple Choice 30 rad/s 0.30 rad/s 90 rad/s 3.3 rad/s
A 1.756-kg sphere of radius 0.31 m is rotating about an axis through its center at 24.843 rev/s with the angular velocity in the +z direction. A torque 11.573N∙m acts on the sphere about the center of the sphere in the +x direction. What is the angular acceleration, in rad2/s, of the sphere? (Isphere = 2/5 MR2)
Two forces act on a uniform disk with a radius of 2.0 cm and a mass of 20.0 g which is initially at rest. After 1.25 s the disk has an angular velocity of 250 rad/s counterclockwise. Determine the force F2 if F1 has a magnitude of 0.1 N. Write your answer to the hundredth newton.
Phoebe has a new bicycle. As soon as she brings it home she goes for a test ride. In 4 minutes she covers a distance of 480.0 m. Find the angular velocity of the front wheel of the bicycle during this short trip. Assume that she rides at a constant speed and that the diameter of the front wheel is 24 inches. (1 inch = 2.54cm)