Question

A carousel has a radius of 1.70 m and a moment of inertia of 130 kg...

A carousel has a radius of 1.70 m and a moment of inertia of 130 kg · m2 . A girl of mass 46.5 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 5.2 rad/s. How far from the center did the girl stop?

Answer in m

1 0
Add a comment Improve this question Transcribed image text
Answer #1

From the law of conservation of the angular momentum, Imo I +m2 md2 139:1(e5/u 0)10390,10 130 +(46.5) (1.70) )(3.20) 5.2 32.6

Add a comment
Know the answer?
Add Answer to:
A carousel has a radius of 1.70 m and a moment of inertia of 130 kg...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A carousel has a radius of 1.65 m and a moment of inertia of 126 kg...

    A carousel has a radius of 1.65 m and a moment of inertia of 126 kg · m2 . A girl of mass 48.0 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 5.0 rad/s. How far from the center did the...

  • 7) A turntable with moment of inertia IT = 0.042 kg m2 and radius R = 0.24 m is rotating with ω = 0.68 rad/s. A mouse of...

    7) A turntable with moment of inertia IT = 0.042 kg m2 and radius R = 0.24 m is rotating with ω = 0.68 rad/s. A mouse of mass m = 0.053 kg is standing on the edge of the turntable. a) What are the total moment of inertia and the total angular momentum of this system? b) If the mouse walks towards the center of the turntable, does the angular velocity increase or decrease? Explain the answer conceptually. c)...

  • A carousel has a radius of  R=3.00m and a moment of inertia of I= 6250 kgâ‹…m2 for...

    A carousel has a radius of  R=3.00m and a moment of inertia of I= 6250 kgâ‹…m2 for rotation about axis perpendicular to the its center. The carousel is rotating unpowered and without friction with an angular velocity of 1.25 rad/s. An 85.0 kg man runs with a velocity of v=8.00m/s , on a line tangent to the rim of the carousel, overtaking it. The man runs onto the carousel and grabs hold of a pole on the rim. (Figure 1) a...

  • As seen from above, a playground carousel is rotating counterclockwise about its center on frictionless bearings....

    As seen from above, a playground carousel is rotating counterclockwise about its center on frictionless bearings. A person standing still on the ground grabs onto one of the bars on the carousel very close to its outer edge and climbs aboard. Thus, this person begins with an angular speed of zero and ends up with a nonzero angular speed, which means that he underwent a counterclockwise angular acceleration. The carousel has a radius of 1.56 m, an initial angular speed...

  • A carousel has a radius of 2 m and a moment of inertia of 500 kg·m²,...

    A carousel has a radius of 2 m and a moment of inertia of 500 kg·m², and can rotate around a frictionless axis. A person of 25 kg runs tangentially towards the edge of this carousel, which is at rest, with an initial velocity v = 2.5 m/s, and jumps into the toy. What is the final angular velocity of the person and the carousel together?

  • 4. A student (mass= 60.0 kg) is standing on a rotating platform (mass= 200 kg). Treat...

    4. A student (mass= 60.0 kg) is standing on a rotating platform (mass= 200 kg). Treat the platform as a uniform cylinder with a radius 1.50 m, and treat the student as a point object. The student is standing right on the edge. The platform starts at rest. A friend then exerts a constant torque on the platform. This causes the angular speed of the platform to increase to 0.8 rad/s over a time of 5.0 s, at which point...

  • In the diagram, Disk 1 has a moment of inertia of 4.20 kg · m2 and...

    In the diagram, Disk 1 has a moment of inertia of 4.20 kg · m2 and is rotating in the counterclockwise direction with an angular speed of 6.90 rad/s about a frictionless rod passing through its center. A second disk rotating clockwise with an angular speed of 8.50 rad/s falls from above onto Disk 1. The two then rotate as one in the clockwise direction with an angular speed of 2.80 rad/s. Determine the moment of inertia of Disk 2.

  • 17. A 25.0 kg girl stands on the edge of a merry-go-round that is turning with...

    17. A 25.0 kg girl stands on the edge of a merry-go-round that is turning with an angular speed of 0.750 rad/s. The merry-go-round has a radius of 2.50 m and a moment of inertia of 200 kg m2. The girl walks to the center of the merry-go-round and stands there. What is the new angular speed of the merry-go-round? (Treat the girl as a point particle.)

  • A person of mass 80 kg stands at the center of a rotating merry-go-round platform of radius 3.5 m and moment of inertia...

    A person of mass 80 kg stands at the center of a rotating merry-go-round platform of radius 3.5 m and moment of inertia 950 kg*m^2 . The platform rotates without friction with angular velocity 0.85 rad/s . The person walks radially to the edge of the platform. 1.Calculate the angular velocity when the person reaches the edge. w=______________ rad/s 2.Calculate the rotational kinetic energy of the system of platform plus person before the person's walk. Ki=____________ J 3.Calculate the rotational...

  • A playground carousel is free to rotate about its center on frictionless bearings, and air resistance...

    A playground carousel is free to rotate about its center on frictionless bearings, and air resistance is negligible. The carousel itself (without riders) has a moment of inertia of 125 kg�m2. When one person is standing at a distance of 1.50 m from the center, the carousel has an angular velocity of 0.700 rad/s. However, as this person moves inward to a point located 0.750 m from the center, the angular velocity increases to 0.870 rad/s. What is the person's...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT