A carousel has a radius of 1.65 m and a moment of inertia of 114 kg · m2. A girl of mass 42.0 kg is standing at the edge of the carousel, which is rotating with an angular speed of 3.30 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 5.2 rad/s. How far from the center, in meters, did the girl stop?
Q: A thin rod has a length of 0.522 m and rotates in a circle on a frictionless tabletop. The axis is…
A:
Q: A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually…
A: Given Data : The constant angular acceleration is given as α=0.178rads2. The Number of revolutions…
Q: what is the angular speed when she is 0.554 m from the center?
A: Conservation of Angular Momentum If the net external torque acting on a rigid body or a particle is…
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 fan blade is rotating with a constant angular acceleration of +10.1 rad/s². At what point on the…
A: Given data:The angular acceleration is Formula:The expression for the linear acceleration is shown…
Q: A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a…
A: Given Information:- Radius of the horizontal platform is R=3.56 m Moment of inertia of the circular…
Q: A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a…
A:
Q: A thin rod has a length of 0.584 m and rotates in a circle on a frictionless tabletop. The axis is…
A: As the rod rotates on frictionless table top, the angular momentum of the system must be conserved.…
Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in…
A:
Q: The angular speed of a rotating platform changes from ω0 = 2.6 rad/s to ω = 8.8 rad/s at a constant…
A: The tangential acceleration is 3.45s2mExplanation:Step 1:Initial angular speed is 2.6srad Final…
Q: A 51.0-cm diameter disk rotates with a constant angular acceleration of 2.8 rad/s2. It starts from…
A:
Q: horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a…
A:
Q: Consider a father pushing a child on a playground merry-go-round. The system has a moment of inertia…
A:
Q: Four children stand at edge of a circular horizontal platform that is free to rotate about a…
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 Ferris wheel rotates at an angular velocity of 0.30 rad/s. Starting from rest, it reaches its…
A:
Q: A baseball pitcher throws a baseball horizontally at a linear speed of 46.2 m/s. Before being…
A:
Q: Ferris wheel rotates at an angular velocity of 0.29 rad/s. Starting from rest, it reaches its…
A:
Q: A small object with mass 4.45 kg moves counterclockwise with constant speed 1.60 rad/s in a circle…
A:
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 40.0-cm diameter disk rotates with a constant angular acceleration of 2.60 rad/s2. It starts from…
A:
Q: wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually…
A:
Q: thin rod has a length of 0.330 m and rotates in a circle on a frictionless tabletop. The axis is…
A:
Q: A playground merry-go-round has radius R = 2 m and moment of inertia I = 250 kg · m². The…
A:
Q: A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a…
A:
Q: A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a…
A: Solution: Given: r1 = radius of merry go round = 1.54 m I1 = rotational inertia of merry go round =…
Q: thin rod has a length of 0.653 m and rotates in a circle on a frictionless tabletop. The axis is…
A:
Q: A playground merry-go-round with a mass of 150 kg and a radius of 1.5 m is rotating with a frequency…
A:
Q: A ferris wheel rotates at an angular velocity of 0.20 rad/s. Starting from rest, it reaches it's…
A:
Q: A thin rod has a length of 0.650 m and rotates in a circle on a frictionless tabletop. The axis is…
A: Let the length of the rod be L, the initial angular velocity be ω, the moment of inertia of the rod…
Q: A thin rod has a length of 0.307 m and rotates in a circle on a frictionless tabletop. The axis is…
A:
Q: The angular speed of a rotating platform changes from ω0 = 3.6 rad/s to ω = 6.4 rad/s at a constant…
A:
Q: A deep-sea fisherman hooks a big fish that swims away from the boat, pulling the fishing line from…
A: Given : Initial velocity, ωo=0 Radius from axis of rotation, r = 4.50 cm = 0.045 m Angular…
Q: A playground merry-go-round of radius R = 2.20 m has a moment of inertia I = 230 kg · m2 and is…
A: The initial moment of inertia is, Ii=230 kgm2 The initial angular speed is, ωi=8 rev/min The final…
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 = 10 rpm Final angular speed = 40.5 rpm Distance (r1) of the weight…
Q: A carousel has a radius of 1.65 m and a moment of inertia of 118 kg· m2. A girl of mass 49.0 kg is…
A: Apply principle of conservation of angular momentum…
Q: onsider a father pushing a child on a playground merry-go-round. The system has a moment of inertia…
A: Given:- The system has a moment of inertia of 84.4 kg · m2 The father exerts a force on the…
A carousel has a radius of 1.65 m and a moment of inertia of
A girl of mass 42.0 kg is standing at the edge of the carousel, which is rotating with an angular speed of 3.30 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 5.2 rad/s. How far from the center, in meters, did the girl stop?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- A disk with moment of inertia 0.0216 kgᐧm2kgᐧm2 is rotating in a horizontal plane about a vertical axis through its center with an angular speed of 21.5 rad/s.rad/s. A second disk with moment of inertia of 0.00672 kgᐧm2kgᐧm2 is rotating about the same axis at an angular speed of 15.5 rad/srad/s, but in the opposite direction as the larger disk. The smaller disk drops down onto the larger disk, and due to friction, both quickly reach a common angular speed. What is this final angular speed?Two masses m1 3.2 kg and m2 1.6 kg hang from a pulley as shown in the figure. The moment of inertia through the axis of rotation passing through the center of the pulley is I = 2 kg m². The ropes holding the masses are attached to opposite sides of the pulley at a radius R = 0.5 m from the center of the pulley. R T1 T2 mị m2 Find the magnitude of the angular acceleration a of the pulley system. Pick the correct answer 4.9 rad/s? ,2 7.4 rad/s? 2.5 rad/s? -7.4 rad/s? 9.8 rad/s? 15A carousel has a radius of 1.70 m and a moment of inertia of 118 kg m2. A girl of mass 47.5 kg is standing at the edge of the carousel, which is rotating with an angular speed of 3.10 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 5.2 rad/s. How far from the center, in meters, did the girl stop?
- A thin rod has a length of 0.537 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 0.778 rad/s and a moment of inertia of 1.10 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?A cylinder 32.6 cm in diameter is at rest initially. It is then given an angular acceleration of 14.5 rad/s^2. Find the tangential speed of the outer edge of the cylinder at 6.08 s. Give your answer in m/s.While placing a compact disc into a CD player, you notice a small chip on its edge. You attempt to play the CD anyway by placing the CD into the player's deck with the chip at 0o = 12.6° as measured from the +x-axis. The CD begins to rotate with angular acceleration a = 2.31 rad/s². If the CD has been spinning for t = 3.51 s and the disc has a radius of r = 6.00 cm, what are the x-y coordinates of the chip after this time, assuming the center of the disc is located at (0.00,0.00). X = y = cm cm
- A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually increases, the turbine experiences a constant angular acceleration 0.168 rad/s2. After making 2870 revolutions, its angular speed is 146 rad/s. (a) What is the initial angular velocity of the turbine? (b) How much time elapses while the turbine is speeding up?A thin rod has a length of 0.792 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 0.939 rad/s and a moment of inertia of 1.41 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?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 2.58 m and a rotational inertia of 255 kg·m2 about the axis of rotation. A 53.8 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 2.18 rad/s when the student starts at the rim, what is the angular speed when she is 1.79 m from the center?
- The blades on an electric blender are moving with an angular velocity of 296.8 radians/s. When the blend button is pressed, the blades accelerate at a constant value of 302.7 rdians/s^2. Find the angular velocity of the blades after they have moved through an angular displacement of 75.9 rad (radians) with this angular acceleration. Note the unit of radians is abbreviated as rad.The angular speed of a rotating platform changes from ω0 = 3.6 rad/s to ω = 6.4 rad/s at a constant rate as the platform moves through an angle Δθ = 5.5 radians. The platform has a radius of R = 12 cm. Calculate the angular acceleration of the platform α in rad/s2.A carousel has a radius of 1.60 m and a moment of inertia of 130 kg · m2. A girl of mass 43.0 kg is standing at the edge of the carousel, which is rotating with an angular speed of 3.10 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 5.4 rad/s. How far from the center, in meters, did the girl stop? The answer is NOT 1.21m