23% 11: 09 AMLTE1. Initially, a wheel rotating about a fixed axis at a constant angular acceleration has an angular velocityof 3.0 rad/sec. Two seconds later it has turned through 5.0 complete revolutions. Find the angularacceleration2. Given the position vector r= 3i + 4j +5k and force F = 16i - 20j - 5 k, find the magnitude of thetorque vectort so that t = r x F ? (Hint: use 3x3 matrix)A solid disk of mass equal to 7.0 kg and radius of 30 cm changes its rotations gradually from 45 rpm to120 rpm in 5.0 sec3. find the angular acceleration in rad/s.4. how many revolutions has the disk turned in this 5.0 seconds?5. find the change in rotational kinetic energy6. find its moment of inertia in kgm27. find the magnitude of torque needed to make such a change in rpm.8. find the tangential acceleration of a point P on the outer rim of the disk.20t2The fan blade in a jet engine rotates from rest with the angular acceleration a =9. find the angular velocity as a function of time.10. find the angular displacement as a function of time.11. if the rotational inertia of the blade is 5.0 kgm2, find the work done on the blade in the first initial3.0 seconds. (Hint: take t from zero to 3 and d0 = odt)A hollow sphere ( M = 3.0 kg and R = 60 cm ) is rolling down an inclined surface with a height of 2.0meters and an inclined angle of 25 degrees.12. find the moment of inertia of the sphere, in kgm213. find the speed of the center of mass when it reaches the bottom of the hill14. find the total rotational kinetic energy at the bottomhך

Question
Asked Nov 22, 2019
8 views

12 13 14

23% 11: 09 AM
LTE
1. Initially, a wheel rotating about a fixed axis at a constant angular acceleration has an angular velocity
of 3.0 rad/sec. Two seconds later it has turned through 5.0 complete revolutions. Find the angular
acceleration
2. Given the position vector r= 3i + 4j +5k and force F = 16i - 20j - 5 k, find the magnitude of the
torque vectort so that t = r x F ? (Hint: use 3x3 matrix)
A solid disk of mass equal to 7.0 kg and radius of 30 cm changes its rotations gradually from 45 rpm to
120 rpm in 5.0 sec
3. find the angular acceleration in rad/s.
4. how many revolutions has the disk turned in this 5.0 seconds?
5. find the change in rotational kinetic energy
6. find its moment of inertia in kgm2
7. find the magnitude of torque needed to make such a change in rpm.
8. find the tangential acceleration of a point P on the outer rim of the disk.
20t2
The fan blade in a jet engine rotates from rest with the angular acceleration a =
9. find the angular velocity as a function of time.
10. find the angular displacement as a function of time.
11. if the rotational inertia of the blade is 5.0 kgm2, find the work done on the blade in the first initial
3.0 seconds. (Hint: take t from zero to 3 and d0 = odt)
A hollow sphere ( M = 3.0 kg and R = 60 cm ) is rolling down an inclined surface with a height of 2.0
meters and an inclined angle of 25 degrees.
12. find the moment of inertia of the sphere, in kgm2
13. find the speed of the center of mass when it reaches the bottom of the hill
14. find the total rotational kinetic energy at the bottom
h
ך
help_outline

Image Transcriptionclose

23% 11: 09 AM LTE 1. Initially, a wheel rotating about a fixed axis at a constant angular acceleration has an angular velocity of 3.0 rad/sec. Two seconds later it has turned through 5.0 complete revolutions. Find the angular acceleration 2. Given the position vector r= 3i + 4j +5k and force F = 16i - 20j - 5 k, find the magnitude of the torque vectort so that t = r x F ? (Hint: use 3x3 matrix) A solid disk of mass equal to 7.0 kg and radius of 30 cm changes its rotations gradually from 45 rpm to 120 rpm in 5.0 sec 3. find the angular acceleration in rad/s. 4. how many revolutions has the disk turned in this 5.0 seconds? 5. find the change in rotational kinetic energy 6. find its moment of inertia in kgm2 7. find the magnitude of torque needed to make such a change in rpm. 8. find the tangential acceleration of a point P on the outer rim of the disk. 20t2 The fan blade in a jet engine rotates from rest with the angular acceleration a = 9. find the angular velocity as a function of time. 10. find the angular displacement as a function of time. 11. if the rotational inertia of the blade is 5.0 kgm2, find the work done on the blade in the first initial 3.0 seconds. (Hint: take t from zero to 3 and d0 = odt) A hollow sphere ( M = 3.0 kg and R = 60 cm ) is rolling down an inclined surface with a height of 2.0 meters and an inclined angle of 25 degrees. 12. find the moment of inertia of the sphere, in kgm2 13. find the speed of the center of mass when it reaches the bottom of the hill 14. find the total rotational kinetic energy at the bottom h ך

fullscreen
check_circle

Expert Answer

Step 1

12. Moment of Inertia of the hollow sphere,

1-MR
2
(3.0 kg) (0.60 m )
0.72kg m2
II
help_outline

Image Transcriptionclose

1-MR 2 (3.0 kg) (0.60 m ) 0.72kg m2 II

fullscreen
Step 2

13. Using conservation of energy, the speed of centre of mass at the bottom is,

Mgh
gh
( 9.8m/s (2.0m)
4.85m/s
help_outline

Image Transcriptionclose

Mgh gh ( 9.8m/s (2.0m) 4.85m/s

fullscreen
Step 3

14. Total rotational kinetic e...

(0.72kg-m2)(4.85m/s)
2(0.60m
23.52J
help_outline

Image Transcriptionclose

(0.72kg-m2)(4.85m/s) 2(0.60m 23.52J

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Rotational Mechanics

Related Physics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: What is a Worm Hole? How can we travel into the Worm Hole?

A: Wormholes are solutions to the Einstein field equations for gravity that act as "tunnels," connectin...

question_answer

Q: a doctor opens a 1.5 m door by pushing it with a force of 39.7 N. What magnitude torque does she app...

A:  Given values:Applied force, F = 39.7 NDistance from the axis to the center of the door, r = 1.5 / 2...

question_answer

Q: A simple rearrangement of Newton's second law gives Fnet=ma. Find a net force that is needed to give...

A: Given thatThe mass package m=13kgAcceleration of the package a=8.0m/s2

question_answer

Q: How much work would have to be done to bring a 970-kg automobile traveling at 72 km/h to a stop?__ J

A: Consider an automobile having mass m moving with initial speed vi.

question_answer

Q: You're feeling particularly lazy and decide to open a door by firing a bullet at it. The door has a ...

A: Here, the initial angular momentum of the system about the hinge is equal to the initial angular mom...

question_answer

Q: Chapter 14, Problem 031 A block of wood floats in fresh water with 0.675 of its volume V submerged a...

A: a)As wooden block floats on water, buoyant force exerted by water on block will be equal to the weig...

question_answer

Q: A mule is harnessed to a sled having a mass of 261 kg, including supplies. The mule must exert a for...

A: Given,

question_answer

Q: RC30 ETISALAT 4G 7:33 @ 49% 7:36 PM l 4G AA edugen.wileyplus.com ileyPLUSne Physi, 11e Help I System...

A: The net force add each other when both force points in the same direction, that is to the east and s...

question_answer

Q: A brick is thrown upward from the top of a building at an angle of 40° to the horizontal and with an...

A: Let the height of the building is h.At the initial time, only the vertical component of initial velo...