5. Two disks are rotating about the same axis. Disk A has a moment of inertia of 4.40 kg.m2 and an angular velocity of +6.60 rad/s. Disk B is rotating with an angular velocity of -12.0 rad/s. The two disks are then linked together without the aid of any external torques, so that they rotate as a single unit with an angular velocity of -2.70 rad/s. The axis of rotation for this unit is the same as that for the separate disks. What is the moment of inertia of disk B? kg.m?

5. Two disks are rotating about the same axis. Disk A has a moment of inertia of 4.40 kg.m2 and an angular velocity of +6.60 rad/s. Disk B is rotating with an angular velocity of -12.0 rad/s. The two disks are then linked together without the aid of any external torques, so that they rotate as a single unit with an angular velocity of -2.70 rad/s. The axis of rotation for this unit is the same as that for the separate disks. What is the moment of inertia of disk B? kg.m?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: 71. A pitcher throws a curveball that reaches the catcher in 0.46 s. The ball curves because it is…

Q: The constant angular acceleration of a disk is 8.5 rad / s2 once it has started to rotate from rest.…

A: Given data The constant angular acceleration is given as α=8.5 rad/s2. The time interval is given as…

Q: 4. Two identical, 1.50-kg point masses are supported on a rod with negligible mass. The rod and…

A: Given: Formula used:

Q: 5. Two disks are rotating about the same axis. Disk A has a moment of inertia of 4.20 kg.m² and an…

Q: 5. Two disks are rotating about the same axis. Disk A has a moment of inertia of 3.00 kg.m² and an…

A: Given data *Disk A has the moment of inertia is IA = 3.00 kg.m2 *Disk A has the angular velocity is…

Q: 4. A solid disk rotates in the horizontal plane at an angular velocity of 4.00 ×10° moment of…

A: The initial angular velocity of the disk, ωi=4.00×10-2 rad/s The moment of inertia of the disk,…

Q: 2. Two disks are rotating about the same axis. Disk A has a moment of inertia of 4.80 kg.m² and an…

A: Given data: The moment of inertia of disk A is IA=4.80 kg.m2 The initial angular velocity of disk A…

Q: VA = 5 ft/s, both acting to the left. Determine the acceleration of the top of the ladder, B, and…

A: Here we will use basic position, velocity and acceleration relations.

Q: 6. A wheel is rotating with an angular acceleration of a(t) = 2t +1 (rad/s²). What is the tangential…

Q: A 2.5 kg disk of radius 0.25 m is free to rotate about an axis at its center. What force, exerted…

Q: 7. A drone can increase its moment of inertia by a factor of 2.5 just by altering its blade…

Q: A soccer player extends her lower leg in a kicking motion by exerting a force with the muscle above…

Q: What constant angular acceleration is required to reduce an object's angular velocity from 35.9…

Q: 14. If a 32.0 Nm torque on a wheel causes angular acceleration 25.0 rad/s², what is the wheel's…

A: Given: The torque on the wheel is τ = 32 Nm The angular acceleration of the wheel is α = 25 rad/s2

Q: 8. A 3 kg uniform disk has a radius of 2 m. An external torque of 10 N-m is applied to the outside…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: 3. A solid disk rotates in the horizontal plane at an angular velocity of 4.90 × 10~2 rad/s with…

A: Given :The initial angular velocity of disk,ωi=4.90 x 10-2 rad/sMoment of inertia of the disk,…

Q: 4. A disk of radius R = 3.0 m rotates at an angular velocity @ = (1.6 + 1.2t) rad/s. At the instant…

Q: 6. A 0.350 m radius solid sphere with a mass of 0.225 kg is initially at rest. It obtains an angular…

Q: 10. a dvd starts spinning and reaches an angular speed of 147 radians/second in 4 seconds. calculate…

Q: Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 5.0…

A: Given, total time, t= 5s total rotation, θ = 25 rad a) So, magnitude of angular acceleration will…

Q: A turntable initially has an angular velocity of 4.51 rad/s. If the undergoes uniform angular…

Q: 4. A solid disk rotates in the horizontal plane at an angular velocity of 4.30 x10-2 rad/s with…

A: Write the expression for the conservation of momentum,

Q: A flywheel, a solid disk with moment of inertia 2.5 kg-m2, spins on a central axis at 400 RPM. A…

A: Given: The moment of inertia of the disk is 2.5 kg·m2. The rotational speed is 400 RPM. The value of…

Q: 54. A cylinder with rotational inertia 11=2.0kg m2 rotates clockwise about a vertical axis through…

A: Given: I1 = 2.0 kg.m2ω1 = +5.0 rad/s(clockwise)I2 = 1.0 kg.m2ω2 =- 8.0 rad/s(counterclockwise)

Q: 20. The 57.2cm diameter disk rotates counterclockwise on an axle through its center. F1=42.6N,…

Q: A figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65…

A: Given data: Angular displacement (Δθ) = 2 rev Time (t) = 0.65 s Required: The average angular…

Q: Suppose the rotational kinetic energy of a solid disk is 1000 J when the disk has an angular…

A: The expression for the rotational kinetic energy of the solid disk is as follows: E=12Iω2I=2Eω2…

Q: A carousel is initially at rest. At t = 0 it is given an angular acceleration of 0.088 rad/s^2,…

A: We have to use kinetic relations for angular motions Angular acceleration α =ωt and linear velocity…

Q: 1. A wheel rotating about a fixed axis at a constant angular acceleration has an angular velocity of…

A: 1. 13.71 rad/s2. w = 75 rad/s Θ = 562.5 rad3. 12.27 rad/s4. 8 m/s²5. 31.42 rad/s²Explanation:

Q: A figure skater rotating at 50.00 rad/s with arms extended has a moment of inertia of 4.5 kg. m^2.…

A: Given: A figure skater rotating at speed ω = 50rads Moment of inertia with extended arms I = 4.5…

Q: A dentist causes the bit of a high speed drill to accelerate from an angular speed of 1.76e4 rad/s…

Q: A disk accelerates from rest to an angular velocity of 600 rad/s in 3.0 s. (a) What constant angular…

Question

5. Two disks are rotating about the same axis. Disk A has a moment of inertia of 4.40 kg.m2 and an angular velocity of +6.60 rad/s. Disk B is rotating with
an angular velocity of -12.0 rad/s. The two disks are then linked together without the aid of any external torques, so that they rotate as a single unit with
an angular velocity of -2.70 rad/s. The axis of rotation for this unit is the same as that for the separate disks. What is the moment of inertia of disk B?
kg.m?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8

Answer

Trending now

This is a popular solution!

Step by step

Solved in 9 steps with 9 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Assume a clock mounted on the wall, what is the value of angular acceleration of the second hand of the clock on the wall ? 11 12 10 3. 765 2nrad / sec? 60 rad / sec? O rad/sec2 n rad/ sec? 4.
6. A uniform disk turns at 3.3 rev/s around a frictionless central axis. A nonrotating rod is dropped onto the disk. The rod has the same mass as the disk and length equal to the diameter of the disk. The two objects then turn together at the same rate with the centers lined up vertically. What is the new angular velocity (in rad/s) and new angular frequency (in rev/s)?
9. A figure skater with outstretched arms spins with an initial rotation rate of 1.0 rev every 1.2 s. She can increase her rotation speed by bringing her arms close to her body. Suppose her final rotation rate is 3.0 rev every 1.2 s. Find her moment of inertia with her arms close to her body if her moment of inertia with outstretched arms is 5.0 kg-m?. (Answer: I = 1.7 kg · m²)
An ice dancer with her arms stretched out starts into a spin with an angular velocity of 2.9 rad/s. Her moment of inertia with her arms stretched out is 2.84kg m. What is the difference in her rotational kinetic energy when she pulls in her arms to make her moment of inertia 1.67 kg m2? (Answer in J)
19. A wheel 1.00 m in radius is rotating at 100 rad/s. The wheel accelerates uniformly from 100 rad/s to 500 rad/s in 100 revolutions. Determine the Rate of angular acceleration Time required for the wheel to accelerate to 500 radians per second Tangential acceleration of a point on the rim as the wheel is accelerating Radial acceleration of a point on the rim before acceleration begins
6. Two disks are rotating about the same axis. Disk A has a moment of inertia of 4.00 kg.m2 and an angular velocity of +6.80 rad/s. Disk B is rotating with an angular velocity of -11.8 rad/s. The two disks are then linked together without the aid of any external torques, so that they rotate as a single unit with an angular velocity of -2.50 rad/s. The axis of rotation for this unit is the same as that for the separate disks. What is the moment of inertia of disk B? kg.m2 kpl kp13 136 skp
A 1702 kg solid sphere with a radius of 2.6 m rolls without slipping down an incline of 0 = 41°. If the sphere makes 6 full revolutions in 8.4 seconds. 1. The rotational inertia of the sphere is kg.m2 2. The frictional force between the incline and the sphere is 3. The angular velocity at point C on the sphere is rad/s 4. The speed of the center of mass of the Sphere is m/s 5. The distance S after 6 full revolutions is m
Suppose a disk with constant angular velocity has rotational kinetic energy 1280 J. If the moment of inertia of the disk is 35 kg-m?, then what is its angular velocity? 8.552 rad/s 9.066 rad/s С. 7.303 rad/s 10.07 rad/s 10.40 rad/s А. D. В. E. 10.14 rad/s F.
2 W S X 24919 3 E D C 3. A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.45 x 10¹ rad/s to an angular speed of 3.75 x 104 rad/s. In the process, the bit turns through 2.26 x 10¹ rad. Assuming a constant angular acceleration, how long would it take the bit to reach its maximum speed of 7.10 x 10 rad/s, starting from rest? $ R F V % 5 19 T G tv B MacBook Air 6: Y H & 7 N 44 U ★ 8 J P M ( 9 K MOSISO V H 2 command 4 option y m 04 M
1. The angular acceleration of a rotating wheel is given by a=-0.1o2 rad/s, and the wheel's initial angular velocity is wn = 25 rad/s at t= 0. Determine the time t when the wheel's angular velocity is reduced to o = 4 rad/s.
4. Two disks are rotating about the same axis. Disk A has a moment of inertia of 5.00 kg.m² and an angular velocity of +6.60 rad/s. Disk B is rotating with an angular velocity of –10.6 rad/s. The two disks are then linked together without the aid of any external torques, so that they rotate as a single unit with an angular velocity of -2.80 rad/s. The axis of rotation for this unit is the same as that for the separate disks. What is the moment of inertia of disk B? kg.m2 f60 s