Question

In: Physics

A disk with m=4.4 kg and radius 14.1 cm rolls a distance 4.3 m down a...

A disk with m=4.4 kg and radius 14.1 cm rolls a distance 4.3 m down a ramp that is inclined by an angle 26.9° with respect to the horizontal. At the bottom of the ramp, what is its translational kinetic energy?

Solutions

Expert Solution

Consider the incline

=====================

Moment of inertia of disk,

Angular velocity,

======================

When the disk reaches the bottom of the ramp, it's initial potential energy is converted into translational kinetic energy and rotational kinetic energy.

==================

Translational kinetic energy,

ANSWER:

====================================


Related Solutions

A solid, uniform disk of radius 0.250 m and mass 53.2 kg rolls down a ramp...
A solid, uniform disk of radius 0.250 m and mass 53.2 kg rolls down a ramp of length 4.70 m that makes an angle of 12.0° with the horizontal. The disk starts from rest from the top of the ramp. (a) Find the speed of the disk's center of mass when it reaches the bottom of the ramp. m/s (b) Find the angular speed of the disk at the bottom of the ramp. rad/s
A solid, uniform disk of radius 0.250 m and mass 60.6 kg rolls down a ramp...
A solid, uniform disk of radius 0.250 m and mass 60.6 kg rolls down a ramp of length 4.80 m that makes an angle of 12.0° with the horizontal. The disk starts from rest from the top of the ramp. (a) Find the speed of the disk's center of mass when it reaches the bottom of the ramp. m/s (b) Find the angular speed of the disk at the bottom of the ramp. rad/s
A 4.3- cm-radius ball rolls down an inclined plane from rest at the top. The angular...
A 4.3- cm-radius ball rolls down an inclined plane from rest at the top. The angular acceleration of the rolling ball about its center is 245 rad/s2, and its angular speed at the bottom is 44.4 rad/s. How long is the plane?
1. A uniform disk of mass M = 5.00 kg and radius r = 24.0 cm...
1. A uniform disk of mass M = 5.00 kg and radius r = 24.0 cm is mounted on a motor through its center. The motor accelerates the disk uniformly from rest by exerting a constant torque of 1.50 N · m. (a) What is the time required for the disk to reach an angular speed of 8.50 ✕ 102 rpm? (b) What is the number of revolutions through which the disk spins before reaching this angular speed? 2. A...
A uniform solid ball of m=4.0 kg and radius r rolls smoothly down a ramp. The...
A uniform solid ball of m=4.0 kg and radius r rolls smoothly down a ramp. The ball starts from rest. The ball descends a vertical height of 6.0 m to reach the bottom of the ramp. What is its speed at the bottom?
Part b. A thin hoop of mass 22 kg and radius 1.5 m rolls down an...
Part b. A thin hoop of mass 22 kg and radius 1.5 m rolls down an incline that is 4 meters tall. What is the velocity of the thin hoop at the bottom of the incline? m/s Part c. A solid disk of mass 22 kg and radius 1.5 m rolls down an incline that is 4 meters tall. What is the velocity of the solid disk at the bottom of the incline? m/s 5. [–/1 Points]DETAILSMY NOTES A 10.3...
A disk of radius 14 cm and has a mass of 10 kg is attached to...
A disk of radius 14 cm and has a mass of 10 kg is attached to a hub which is a disk of mass 8 kg and radius 5cm. The disks are mounted on a frictionless axel that runs through the center. A rope passes over the hub and supports a 10 kg mass on one side and a 5 kg mass on the other. If the rope does not slip on the hub, a.) What is the tension in...
A 1kg ring with a radius of 10 cm rolls down a board inclined at 30...
A 1kg ring with a radius of 10 cm rolls down a board inclined at 30 degrees from a height of 4 meter. At the bottom of the inclined, n a frictionless table fits a 3-kg block. After coming off of the incline, the ring slides (without rolling) until colliding and coupling with the block. The ring-block system then continues to move and flies off the edge of the 1.5 meter high table. What is the velocity of the ring-block...
A disk of mass 2.5 kg and radius 70 cm with a small mass of 0.09...
A disk of mass 2.5 kg and radius 70 cm with a small mass of 0.09 kg attached at the edge is rotating at 1.8 rev/s. The small mass suddenly flies off of the disk. What is the disk's final rotation rate (in rev/s)?
A wheel has a mass of 0.5 kg and a radius of 0.25 m. It rolls...
A wheel has a mass of 0.5 kg and a radius of 0.25 m. It rolls such that the center of mass of the wheel has a velocity of 10 m/s. a) Calculate the angular velocity of the wheel. b) Calculate the translational kinetic energy of the wheel. c) Calculate the rotational kinetic energy of the wheel. d) Calculate the total kinetic energy of the wheel by summing the two kinetic energies
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT