Question

A uniform solid sphere of radius r = 0.410 m and mass m = 13.0 kg turns clockwise about a vertical axis through its center (when viewed from above),...

A uniform solid sphere of radius r = 0.410 m and mass m = 13.0 kg turns clockwise about a vertical axis through its center (when viewed from above), at an angular speed of 3.20 rad/s. What is its vector angular momentum about this axis? (Enter the magnitude in kg · m2/s.)


magnitude ?
direction?

Homework Answers

Answer #1

Here we apply definition of angular momentum and formula for angular momentum. We also apply formula for rotational inertia of sphere about given axis.

Know the answer?
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
Similar Questions
2) A solid sphere with mass 2kg and radius 0.2 meters is rotating clockwise about its...
2) A solid sphere with mass 2kg and radius 0.2 meters is rotating clockwise about its center with ωi =5 rad/s. a) Find its Moment of Inertia. b) We want to double its angular speed in 3 full turns of the sphere. Find its acceleration.c) A constant force is acting on the edge with 135 degrees angle. Find the Force needed to for this acceleration
Each of the following objects has a radius of 0.209 m and a mass of 2.31...
Each of the following objects has a radius of 0.209 m and a mass of 2.31 kg, and each rotates about an axis through its center (as in this table) with an angular speed of 36.0 rad/s. Find the magnitude of the angular momentum of each object. (a) a hoop kg · m2/s (b) a solid cylinder kg · m2/s (c) a solid sphere kg · m2/s (d) a hollow spherical shell kg · m2/s
A uniform disk of mass Mdisk = 4 kg and radius R = 0.24 mhas a...
A uniform disk of mass Mdisk = 4 kg and radius R = 0.24 mhas a small block of mass mblock = 2.2 kg on its rim. It rotates about an axis a distance d = 0.16 m from its center intersecting the disk along the radius on which the block is situated. What is the moment of inertia of the block about the rotation axis? What is the moment of inertia of the disk about the rotation axis? When...
A uniform cylindrical turntable of radius 2.00 m and mass 31.2 kg rotates counterclockwise in a...
A uniform cylindrical turntable of radius 2.00 m and mass 31.2 kg rotates counterclockwise in a horizontal plane with an initial angular speed of 4? rad/s. The fixed turntable bearing is frictionless. A lump of clay of mass 2.42 kg and negligible size is dropped onto the turntable from a small distance above it and immediately sticks to the turntable at a point 1.90 m to the east of the axis. 1. Find the final angular speed of the clay...
A disk with mass m = 6.3 kg and radius R = 0.46 m hangs from...
A disk with mass m = 6.3 kg and radius R = 0.46 m hangs from a rope attached to the ceiling. The disk spins on its axis at a distance r = 1.53 m from the rope and at a frequency f = 19.7 rev/s (with a direction shown by the arrow). 1) What is the magnitude of the angular momentum of the spinning disk? kg-m2/s 2) What is the torque due to gravity on the disk? N-m 3)...
A uniform solid brass cylinder of mass 0.50 kg and radius of 0.030 m starts to...
A uniform solid brass cylinder of mass 0.50 kg and radius of 0.030 m starts to rotate about its cylinder axis with an angular velocity of 60 rad/s. a. What is the angular momentum of the cylinder and how much work is required to reach this rate of rotation, starting from rest? b. After the cylinder has reached 60 rad/s, it is heated up from room temperature (20oC) to 100oC. The mean coefficient of linear expansion of brass is 2.0...
A uniform solid brass cylinder of mass 0.50 kg and radius of 0.030 m starts to...
A uniform solid brass cylinder of mass 0.50 kg and radius of 0.030 m starts to rotate about its cylinder axis with an angular velocity of 60 rad/s. a. What is the angular momentum of the cylinder and how much work is required to reach this rate of rotation, starting from rest? b. After the cylinder has reached 60 rad/s, it is heated up from room temperature (20oC) to 100oC. The mean coefficient of linear expansion of brass is 2.0...
A solid, uniform sphere of mass 2.0 kg and radius 1.7m rolls without slipping down an...
A solid, uniform sphere of mass 2.0 kg and radius 1.7m rolls without slipping down an inclined plane of height 7.0m . What is the angular velocity of the sphere at the bottom of the inclined plane? a) 5.8 rad/s b) 11.0 rad/s c) 7.0 rad/s d) 9.9 rad/s
An 86.0 kg solid sphere of radius 0.450m start from rest and turns with constant angular...
An 86.0 kg solid sphere of radius 0.450m start from rest and turns with constant angular acceleration around the axle rod, rotating through 12.6 rad in 3.50 s a. calculate its angular velocity at this time. b. calculate its kinetic energy at the end of this process
A uniform solid brass cylinder of mass 0.50 kg and radius of 0.030 m starts to...
A uniform solid brass cylinder of mass 0.50 kg and radius of 0.030 m starts to rotate about its cylinder axis with an angular velocity of 60 rad/s. a. What is the angular momentum of the cylinder and how much work is required to reach this rate of rotation, starting from rest? b. After the cylinder has reached 60 rad/s, it is heated up from room temperature (20oC) to 100oC. The mean coefficient of linear expansion of brass is 2.0...