Consider a particle of mass mm that is revolving with angular speed ω around an axis....
Consider a particle of mass mm that is revolving with angular speed ω around an axis. The perpendicular distance from the particle to the axis is rr (Figure 1).
Part A: Find the kinetic energy K of the rotating particle. Express your answer in terms of m r ω.
part C:Find the moment of inertia IhoopIhoop of a hoop of radius
rr and mass mm with respect to an axis perpendicular to the hoop
and passing through its center. (Figure 2)
Homework Answers
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Consider a particle of mass mm that is revolving with angular
speed ω around an axis....
Consider a particle of mass m = 21.0 kg revolving around an axis with angular speed...
Consider a particle of mass m = 21.0 kg revolving around an axis
with angular speed ω. The perpendicular distance from the particle
to the axis is r = 1.75 m . (Figure 1)
1. Assume ω = 21.0 rad/s . What is the magnitude v of the
velocity of the particle in m/s?
2. Now that you have found the velocity of the particle, find
its kinetic energy K.
Express your answer numerically, in joules.
Consider a particle of mass m = 25.0 kg revolving around an axis with angular speed ω. The perpendicular distance from...
Consider a particle of mass m = 25.0 kg revolving
around an axis with angular speed ω. The perpendicular
distance from the particle to the axis is r= 1.75 m .
(Figure 1)
Part A
Which of the following are units for expressing rotational
velocity, commonly denoted by ω?
.
Check all that apply.
radians per second
degrees per second
meters per second
arc seconds
revolutions per second
Part C
Now that you have found the velocity of the particle,...
Consider a particle of mass m = 17.0 kg revolving around an axis with angular speed...
Consider a particle of mass m = 17.0 kg revolving around an axis with angular speed ω. The perpendicular distance from the particle to the axis is r = 0.250 m 2.Assume ω = 13.0 rad/s . What is the magnitude v of the velocity of the particle in m/s? 3. Now that you have found the velocity of the particle, find its kinetic energy K.
Consider a particle of mass m = 21.0 kg revolving around an axis with angular speed...
Consider a particle of mass m = 21.0 kg revolving around an axis
with angular speed ω. The perpendicular distance from the particle
to the axis is r = 1.75 m . (Figure 1)
Which of the following are units for expressing rotational
velocity, commonly denoted by ω?
Check all that apply.
radians per second
degrees per second
meters per second
arc seconds
revolutions per second
Part B Consider a particle of mass m = 25.0 kg revolving around an axis with...
Part B Consider a particle of mass m = 25.0 kg revolving around an axis with angular speed w. The perpendicular distance from the particle to the axis is r = 1.25 m. (Figure 1) Assume w = 39.0 rad/s. What is the magnitude v of the velocity of the particle in m/s? PO AQ * ? m/s Figure < 1 of 1 > Submit Request Answer Part C Now that you have found the velocity of the particle, find...
8. Th e moment of inertia for a wagon wheel can be calculated by taking the sum of the moment of ...
8. Th e moment of inertia for a wagon wheel can be calculated by taking the sum of the moment of inertia for a hoop (radius 1.2 m) rotating about a Cylinder axis (mass 3 kg) and three rods of length 1.2 m, rotating about their center perpendicular to their length, each of mass o.8 kg. If the wheel is rotating at an angular speed of 2.5 rad/s, what is the wagon wheel's kinetic energy as it spins in place?...
A flywheel having radius of gyration 2 m and mass 10 kg rotates at angular speed...
A flywheel having radius of gyration 2 m and mass 10 kg
rotates at angular speed of 5 radians/s about an axis perpendicular
to it through its center. Find (a) The moment of inertia. (b) The
angular momentum of the flywheel. (c) The kinetic energy of
rotation.
4. A flywheel having radius of gyration 2 m and mass 10 kg rotates at angular speed of 5 radians/s about an axis perpendicular to it through its center. Find (a) The moment...
3. 25 points A uniform hoop of mass M and radius r has a uniform rod...
3. 25 points A uniform hoop of mass M and radius r has a uniform rod of mass m and length r welded to it as illustrated. a) Given that the rod is at an angle θ from the horizontal, and that the hoop is rotating at a rate ω and rolling on the floor without slipping, what is the total Kinetic Energy, and total Potential Energy (use the height of the center of the hoop as your datum)? Hints:...
1. What is the angular momentum of a 0.240-kg ball rotating on the end of a...
1. What is the angular momentum of a 0.240-kg ball rotating on the end of a thin string in a circle of radius 1.35 m at an angular speed of 15.0 rad/s ? 2. A diver can reduce her moment of inertia by a factor of about 4.0 when changing from the straight position to the tuck position. If she makes 2.0 rotations in 1.5 s when in the tuck position, what is her angular speed (rev/s) when in the...
10. A body rotating at the angular speed of 20 rad/s slows down to an angular...
10. A body rotating at the angular speed of 20 rad/s slows down to an angular spee seconds. What is the average angular acceleration? 11. A body is rotating with an angular acceleration of 2 rad/s What is the linear acceleration of a point in this body that is 2.1 m from the axis of rotation? 12. Two masses, each of mass M, are separated by a distance D. a) what is the moment of inertia, if the axis of...
Consider a particle of mass m = 21.0 kg revolving around an axis
with angular speed ω. The perpendicular distance from the particle
to the axis is r = 1.75 m . (Figure 1)
1. Assume ω = 21.0 rad/s . What is the magnitude v of the
velocity of the particle in m/s?
2. Now that you have found the velocity of the particle, find
its kinetic energy K.
Express your answer numerically, in joules.
Consider a particle of mass m = 25.0 kg revolving
around an axis with angular speed ω. The perpendicular
distance from the particle to the axis is r= 1.75 m .
(Figure 1)
Part A
Which of the following are units for expressing rotational
velocity, commonly denoted by ω?
.
Check all that apply.
radians per second
degrees per second
meters per second
arc seconds
revolutions per second
Part C
Now that you have found the velocity of the particle,...
Consider a particle of mass m = 21.0 kg revolving around an axis
with angular speed ω. The perpendicular distance from the particle
to the axis is r = 1.75 m . (Figure 1)
Which of the following are units for expressing rotational
velocity, commonly denoted by ω?
Check all that apply.
radians per second
degrees per second
meters per second
arc seconds
revolutions per second
Part B Consider a particle of mass m = 25.0 kg revolving around an axis with angular speed w. The perpendicular distance from the particle to the axis is r = 1.25 m. (Figure 1) Assume w = 39.0 rad/s. What is the magnitude v of the velocity of the particle in m/s? PO AQ * ? m/s Figure < 1 of 1 > Submit Request Answer Part C Now that you have found the velocity of the particle, find...
8. Th e moment of inertia for a wagon wheel can be calculated by taking the sum of the moment of inertia for a hoop (radius 1.2 m) rotating about a Cylinder axis (mass 3 kg) and three rods of length 1.2 m, rotating about their center perpendicular to their length, each of mass o.8 kg. If the wheel is rotating at an angular speed of 2.5 rad/s, what is the wagon wheel's kinetic energy as it spins in place?...
A flywheel having radius of gyration 2 m and mass 10 kg
rotates at angular speed of 5 radians/s about an axis perpendicular
to it through its center. Find (a) The moment of inertia. (b) The
angular momentum of the flywheel. (c) The kinetic energy of
rotation.
4. A flywheel having radius of gyration 2 m and mass 10 kg rotates at angular speed of 5 radians/s about an axis perpendicular to it through its center. Find (a) The moment...
3. 25 points A uniform hoop of mass M and radius r has a uniform rod of mass m and length r welded to it as illustrated. a) Given that the rod is at an angle θ from the horizontal, and that the hoop is rotating at a rate ω and rolling on the floor without slipping, what is the total Kinetic Energy, and total Potential Energy (use the height of the center of the hoop as your datum)? Hints:...
10. A body rotating at the angular speed of 20 rad/s slows down to an angular spee seconds. What is the average angular acceleration? 11. A body is rotating with an angular acceleration of 2 rad/s What is the linear acceleration of a point in this body that is 2.1 m from the axis of rotation? 12. Two masses, each of mass M, are separated by a distance D. a) what is the moment of inertia, if the axis of...
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