A playground merry-go-round of radius R= 1.20 m has a moment of inertia / = 255 kg-m2 and is rotating at 12.0 rev/min about a frictionless vertical axle. Facing the axle, a 24.0-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? {convert units} O 0.647 rad/s O 1.11 rad/s 0.375 rad/s O 1.31 rad/s O 0.980 rad/s
Q: A professor sits on a rotating stool that is spinning at 10.010.0 rpm while she holds a heavy weight…
A: initial angular velocity = W1 = 10.01 rpm distance = r1= 0.775 m final angular velocity = W2 = 20.5…
Q: A child sits on a merry‑go‑round that has a diameter of .5.00 m. The child uses her legs to push the…
A:
Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in…
A:
Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in…
A:
Q: A solid disk of mass M = 0.600 kg and radius R = 0.250 m is suspended vertically and is free to…
A:
Q: horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a…
A:
Q: diameter
A:
Q: A playground merry-go-round of radius R = 1.40 m has a moment of inertia I = 265 kg · m2 and is…
A:
Q: A child of mass 54.3 kg sits on the edge of a merry-go-round with radius 2.2 m and mo- ment of…
A:
Q: A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.05 × 10ʻ…
A: Given data Initial angular speed is: ωo = 0 rad/s Intermediate angular speed is: ω1 = 1.05 x 104…
Q: A playground merry-go-round of radius R = 1.98 m has a moment of inertia of I = 240 kg * m2 and is…
A: Inertia of child = mr^2Inertia of child = 26 * 1.98^2 = 101.9 kg-m^210.7 rpm = 1.121rad/s
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: The drive propeller of a ship starts from rest and accelerates at 2.85 x 10-³ rad/s² for 2.44 x 10³…
A: To find the total angular displacement of the propeller, we need to calculate the angular…
Q: A cylinder having a mass of 5.0 kg can rotate about its central axis through point O. Forces are…
A: Given; F1 = 7.0 N, F2 = 4.5 N, F3 = 1.5 N, and F4 = 5.0 N. and R1 = 5.0 cm = 5 x 10-2 m and R2 =…
Q: A merry-go-round that can freely rotate is initially at rest. The merry-go-round has a radius of 1.4…
A:
Q: A playground merry-go-round has radius R = 2 m and moment of inertia I = 250 kg · m². The…
A:
Q: The drive propeller of a ship starts from rest and accelerates at 2.60 x 10-3 rad/s2 for 2.93 x 103…
A:
Q: A solid sphere (? = 2/5m?2) is released from rest at the top of a ramp, as shown. The ramp is tilted…
A:
Q: A basketball starts from rest and rolls without slipping down a hill. The radius of the basketball…
A: Given information: Here, l is the length of the hill and θ is the hill’s inclination angle.
Q: A playground merry-go-round of radius R = 1.20 m has a moment of inertia I = 270 kg - m and is…
A: Radius, r = 1.2 mInitial moment of inertia, I1 = 270 kg.m2Angular speed, ω1 = 8 rev/minMass of the…
Q: A solid cylinder has a mass of 1 kg and a radius of 0.1 m. Starting from rest, the cylinder rolls…
A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…
Q: A discus thrower is pivoting about their long axis. The thrower is creating an angular acceleration…
A:
Q: A rope is wrapped around the rim of a large uniform solid disk of mass 155 kg and radius 2.00 m. The…
A:
Q: A ferris wheel rotates at an angular velocity of 0.20 rad/s. Starting from rest, it reaches it's…
A:
Q: 008 The tape in a videotape cassette has a total length 279 m and can play for 2.2 h. As the tape…
A:
Q: The masses and coordinates of four particles are as follows: 40 g, x = 3.0 cm, y 3.0 cm, y = 1.0 cm;…
A:
Q: A box of unknown mass is suspended from the end of a strong, thin wire. The other end of the wire is…
A:
Q: nerry-go-round, what is the new angular velocity in revolutions per minute? I
A:
Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in…
A: Given: Initial angular speed, ω₁ = 10.0 rpm distance of the weight from the axis of rotation, r₁ =…
Q: A ballerina spins initially at 1.56 rev/s when her arms are extended. She then draws in her arms to…
A: Given data: Initial angular speed, ω1=1.56 rev/s Initial moment of inertia, I1=? Final angular…
Step by step
Solved in 2 steps
- A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a radius of 4.62 m and a rotational inertia of 101 kg-m2 about the axis of rotation. A 66.8 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 2.10 rad/s when the student starts at the rim, what is the angular speed when she is 0.592 m from the center? Number i UnitsA playground merry-go-round of radius R = 2.00 m has a moment of inertia I = 250 kg · m2 and is rotating at 10.0 rev/min about a frictionless, vertical axle. Facing the axle, a 25.0-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?A thin rod has a length of 0.900 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.607 rad/s and a moment of inertia of 1.06 x 10-3 kg-m². A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (whose mass is 5 x 10-3 kg) gets where it's going, what is the change in the angular velocity of the rod? Number i Units
- 11.2A typical helicopter with four blades rotates at 370 rpm and has a kinetic energy of 7.05 x 105 J. What is the total moment of inertia, in kg. m² of the blades?A bicycle wheel has an initial angular velocity of 2.50 rad's. Its angular acceleration is constant and equal to 0.5 radis?. Through what angle has the wheel turned between t=0 and t=7.5 s? O 16. 2 rad O 20.4 rad O 28.5 rad O 32.8 rad
- A playground merry-go-round of radius R = 1.20 m has a moment of inertia I = 255 kg · m2 and is rotating at 9.0 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 Need Help? Read It Watch ItA carousel has a radius of 1.70 m and a moment of inertia of 122 kg - m². A girl of mass 43.5 kg is standing at the edge of the carousel, which is rotating with an angular speed of 3.20 rad/s. Now the girl walks toward the center of the carousel and stops at a certain distance from the center d. The angular speed of the carousel is now 5.0 rad/s. How far from the center, in meters, did the girl stop? mA playground merry-go-round of radius R = 1.20 m has a moment of inertia I = 245 kg · m2 and is rotating at 12.0 rev/min about a frictionless vertical axle. Facing the axle, a 22.0-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 (in rev/min)?
- A thin rod has a length of 0.369 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.100 rad/s and a moment of inertia of 1.46 x 103 kg-m². A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (whose mass is 5 x 10-3 kg) gets where it's going, what is the change in the angular velocity of the rod? idn ry CA professor sits on a rotating stool that is spinning at 10.010.0 rpm while she holds a heavy weight in each of her hands. Her outstretched hands are 0.7750.775 m from the axis of rotation, which passes through her head into the center of the stool. When she symmetrically pulls the weights in closer to her body, her angular speed increases to 24.524.5 rpm. Neglecting the mass of the professor, how far are the weights from the rotational axis after she pulls her arms in?