(1) If a disk has a mass of 200g and a radius of 11.3cm, what is...

Question

Question

(1) If a disk has a mass of 200g and a radius of 11.3cm, what is the moment of inertia of the disc?

(2) What is the translational motion counterpart to the moment of inertia?

science physics

Answer 1

Answer #1

a)

Moment of inertia

I = 0.5* m r^2

I = 0.5* 0.2* 0.113^2

I = 1.277*10^-3 kgm^2

======

b)

mass is counterpart of moment of inertia in translation motion.

======

Answer 2

Similar Homework Help Questions

Free body diagram: 24 0.5r 0.5r No slip (a) An ec centric disk is rotating on the ground as shown in the figure above. The disk has radius r. The distance between the center of mass of th...

Free body diagram: 24 0.5r 0.5r No slip (a) An ec centric disk is rotating on the ground as shown in the figure above. The disk has radius r. The distance between the center of mass of the disk (denoted as C) to its geometric center (denoted as O) is 1 r. The angle of rotation of the disk is θ and the displacement at point O is x. The disk has mass m. The moment of inertia with respect...
For a thin solid disk, the mass moment of inertia, I can be obtained by employing...

For a thin solid disk, the mass moment of inertia, I can be obtained by employing Equation 1, where m = mass of the disc and rd=radius of the disk I= (Equation 1) 2 Task: Derive (Equation 1)
6. A disk with a mass M, a radius R, and a rotational inertia of I-...

6. A disk with a mass M, a radius R, and a rotational inertia of I- MR is attached to a horizontal spring which has a spring constant of as shown in the diagram. When the spring is stretched by a distance x and then released from rest, the disk rolls without slipping while the spring is attached to the frictionless axle within the center of the disk (a) Calculate the maximum translational velocity of the disk in terms of...

A uniform disc with mass M and radius R = 0.10 m is mounted on a...

A uniform disc with mass M and radius R = 0.10 m is mounted on a frictionless, horizontal axle, as shown in the figure. The light cord wrapped around the disk is pulled so that it has a constant tension of T = 20.0 N. Starting from the rest, the disk performs a rotational motion with a constant angular acceleration a = 2 rad/s2 Find mass M of the disk. (Note that the moment of inertia of the disk is...
5.) A belt travelling at 3m/s wraps around two separate disks. Disk 1 has a mass...

5.) A belt travelling at 3m/s wraps around two separate disks. Disk 1 has a mass of 5kg and radius of 30cm, while disk 2 has a mass of 2kg and radius of 5 cm. a) What is the angular velocity of disk 1? b) What is the angular velocity of disk 2? c) What is the moment of inertia of the two disk system?
A hard drive disk of mass M and radius R is spinning at speed W. A...

A hard drive disk of mass M and radius R is spinning at speed W. A small magnet of mass M/3 is gently placed R/2 from the center, where it sticks. The moment of inertia of a disk is žmor?.and the , and the moment of inertia of a particle is m S, where r is the radius. What is the angular speed of the disk after the magnet is added? 07 © UN MILO min 33 0

A disk of mass m radius R, and area A has a su tace mass de sity Ơ(r - where r is the distance rr...

A disk of mass m radius R, and area A has a su tace mass de sity Ơ(r - where r is the distance rrom the center or the disk to a specific point on the disk see the follo ino rigure what is the moment or inertia or the disk about an axis through the center? Use AR the following as necessary: m and R.) Axis of rotation A disk of mass m radius R, and area A has...
What is the moment of inertia of a disk 6.9 meters in radius of mass 92.51...

What is the moment of inertia of a disk 6.9 meters in radius of mass 92.51 kg rotating about its center? Give your answer in kg-m2.
pleas show all work May. 15, 2019 PROBLEMI (22%) Free body diagram: 24 K o (x,0) 0.5r No slip (a) An eccentric disk is rotating on the ground as shown in the figure above. The disk has radius r. T...

pleas show all work May. 15, 2019 PROBLEMI (22%) Free body diagram: 24 K o (x,0) 0.5r No slip (a) An eccentric disk is rotating on the ground as shown in the figure above. The disk has radius r. The distance between the center of mass of the disk (denoted as C) to its geometric center (denoted as O) sır. The angle of rotation of the disk is θ and the displacement at point O is x. The disk has...

ran A disk of mass M and radius R has a hole of radius r centered...

ran A disk of mass M and radius R has a hole of radius r centered on the axis. Calculate the moment of inertia of the disk. Express your answer in terms of the variables M, R, and r. 1= {M(R? +-2) Submit Previous Answers ✓ Correct Part B A 5.0-cm-diameter disk with a 3.0-cm-diameter hole rolls down a 55-cm-long, 21° ramp. What is its speed at the bottom? Express your answer to two significant figures and include the appropriate...