Question

otation, Translation, and Kinetic Energy: A point on the edge of a 4 kg rotating solid...

otation, Translation, and Kinetic Energy: A point on the edge of a 4 kg rotating solid cylindrical disk ( I = 1 2 M R 2) of radius 40 cm moves through an angle of 4 rads in 2 seconds.

Give all of your answers to 3 significant digits.

Part 1. What is the: Angular velocity, Period, Frequency, Linear Velocity of the point on the edge of the disk?

rad/s

s

hz

m/s

Part 2. What length (in meters) has the disk rotated through in 4 seconds?

m

Part 3. If instead the disk comes unhooked and is allowed to roll freely without slipping along a horizontal surface, realize rolling motion has the property vcm = Rω.

What is Translational Kinetic Energy and the Rotational Kinetic Energy?

Translational:  J

Rotational:  J

Part 4. What is the Total Kinetic Energy?

J

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A person of mass 0.240 kg is at rest on the edge of a solid cylindrical...
A person of mass 0.240 kg is at rest on the edge of a solid cylindrical disk (? = 0.40 kg, ? = 0.60 m) rotating in a horizontal plane around the vertical axis through its center. The disk is rotating at 12.0 rad/s. The person moves to a point 0.3m from the center of the disk. One) what is the moment of inertia of the disk including the person? Two) what is the initial angular momentum of the disk...
A 40 kg child (point mass) rides on the outer edge of a merry-go-round, which is...
A 40 kg child (point mass) rides on the outer edge of a merry-go-round, which is a large disk of mass 150 kg and radius 1.5 m. The merry-go-round spins with an angular velocity of 12 rpm. What is the merry-go-round’s angular velocity in radians per second (rad/s)? What is the total rotational inertia (moment of inertia) of the child and merry-go-round together? What is the rotational kinetic energy (in joules) of the merry-go-round and child together? What magnitude of...
(1 point) A circular disk of mass 0.2 kg and radius 27 cm, initially not rotating,...
(1 point) A circular disk of mass 0.2 kg and radius 27 cm, initially not rotating, slips down a thin spindle onto a turntable (disk) of mass 1.9 kg and the same radius, rotating freely at 3.1 rad/s. a) Find the new angular velocity of the combination; rad/s b) The change in the kinetic energy? J c) If the motor is switched on after the disk has landed, what is the constant torque needed to regain the original speed in...
A 2.5 kg solid cylinder (radius = 0.10 m , length = 0.70 m ) is...
A 2.5 kg solid cylinder (radius = 0.10 m , length = 0.70 m ) is released from rest at the top of a ramp and allowed to roll without slipping. The ramp is 0.90 m high and 5.0 m long. Part A When the cylinder reaches the bottom of the ramp, what is its total kinetic energy? (Express your answer using two significant figures.) (answer in J) Part B When the cylinder reaches the bottom of the ramp, what...
A solid uniform disk of mass M = 9.6 kg and radius R = 21 cm...
A solid uniform disk of mass M = 9.6 kg and radius R = 21 cm rests with its flat surface on a frictionless table (i.e., the axis of the cylinder is perpendicular to the table.) The diagram shows a top view. A string is wrapped around the rim of the disk and a constant force of F = 10.8 N is applied to the string. The string does not slip on the rim. 1) What is the acceleration of...
Problem 4 A hoop and a solid disk both with Mass (M=0.5 kg) and radius (R=...
Problem 4 A hoop and a solid disk both with Mass (M=0.5 kg) and radius (R= 0.5 m) are placed at the top of an incline at height (h= 10.0 m). The objects are released from rest and rolls down without slipping. a) The solid disk reaches to the bottom of the inclined plane before the hoop. explain why? b) Calculate the rotational inertia (moment of inertia) for the hoop. c) Calculate the rotational inertia (moment of inertia) for the...
If a disk is rotating from rest with an angular acceleration of 1.72 rad/s^2 for 5.67...
If a disk is rotating from rest with an angular acceleration of 1.72 rad/s^2 for 5.67 seconds, what is its final rotational kinetic energy? Take the moment of inertia of the disk to be 0.692 kg*m^2.
Point Pis on the rim of a large Spinning Disk of mass 10.0 kg and radius...
Point Pis on the rim of a large Spinning Disk of mass 10.0 kg and radius 2.58 m. At time t=0.00 s the disk has an angular velocity of 4.00 rad/s and rotates counterclockwise about its center O, and Pis on the x-axis. A net applied CW torque of 20.0 m-N causes the wheel to undergo a uniform angular acceleration. The magnitude of the total acceleration (m/s2) at point Pwhen t = 15.0 s is? The angular velocity of the...
A 2.9 kg solid sphere (radius = 0.15 m) is released from rest at the top...
A 2.9 kg solid sphere (radius = 0.15 m) is released from rest at the top of a ramp and allowed to roll without slipping. The ramp is 0.85 m high and 5.2 m long. 1. When the sphere reaches the bottom of the ramp, what are its total kinetic energy, 2. When the sphere reaches the bottom of the ramp, what is its rotational kinetic energy? 3. When the sphere reaches the bottom of the ramp, what is its...
A solid disk with a radius of 33.3 cm is moving so that its center of...
A solid disk with a radius of 33.3 cm is moving so that its center of mass is initially moving at 4 m/s while also rolling without slipping at 12rad/s along a horizontal surface. It rolls up an incline, coming to rest as shown before rolling back down (drawing is not to scale). Consider the disk at the bottom of the hill. What is the ratio of the rotational kinetic energy to the total kinetic energy of the disk, Krot/Ktotal?A....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT