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what is angular velocity and acceleration of ODE
Homework Answers
For the instant represented, link CB is rotating counterclockwise at a constant rate N = 2.9 rad/s...
For the instant represented, link CB is rotating counterclockwise at a constant rate N = 2.9 rad/s and its pin A causes a clockwise rotation of the slotted member ODE Determine the angular velocity and angular acceleration of ODE for this instant. The angular velocity and angular acceleration are positive if counterclockwise, negative if clockwise. Answers: ωODE = _______ rad/s οODE = _______ rad/s
1. Consider the pendulum model that we discussed in class. It's also on page 71 of the lecture notes 4. Again, for simplicity, we assume m-1-1-1 Suppose in addition we consider a damping force of...
1. Consider the pendulum model that we discussed in class. It's also on page 71 of the lecture notes 4. Again, for simplicity, we assume m-1-1-1 Suppose in addition we consider a damping force of this model as follows. The magnitude of the damping force is proptional to angular velocity while its direction is opposite to the one of the angular velocity. For simplicity, we may assume the damping force to be -' Then the net external torque become τ...
Problem 4 A uniform slender rod of length L- 3 m and mass 2 kg rotates freely (no friction) about...
Problem 4 A uniform slender rod of length L- 3 m and mass 2 kg rotates freely (no friction) about hinge at A. Att- 0, the initial angle is B 30 and the initial angular velocity SQUARED is 4.9 rads/s in the counter-clockwise direction. a) What are the hinge reaction forces, acceleration of the center of mass, angular velocity (squared) and angular acceleration as functions of B, b) what are the hinge reaction forces, acceleration of the center of mass...
2. Starting from rest, a disk rotates about its central axis with constant angular acceleration. ...
2. Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 5.0 s, it rotates 25 rad. During that time, what are the magnitudes of (a) the angular acceleration and (b) the average angular velocity? (c) What is the instantaneous angular velocity of the disk at the end of the 5.0 s? (d) With the angular acceleration unchanged through what additional angle will the disk turn during the next 5.0s?
2. Starting from rest, a...
Of the following situations, which one is impossible? A. A body having zero angular velocity and...
Of the following situations, which one is impossible? A. A body having zero angular velocity and non-zero angular acceleration. B. A body having constant angular acceleration and variable angular velocity. C. A body having angular velocity east and angular acceleration west. D. A body having angular velocity east and angular acceleration east. E. A body having constant angular velocity and variable angular acceleration.
1- Explain what the center of mass/gravity is. Can it move? Why does its location matter?...
1- Explain what the center of mass/gravity is. Can it move? Why does its location matter? 2- Define angular velocity, angular acceleration, period, frequency, moment of inertia, centripetal acceleration, and angular momentum. 3- . How does angular velocity relate to linear velocity? How does angular acceleration relate to liner acceleration? 4- Compare and contrast ‘uniform circular motion’ with ‘nonuniform circular motion
The angular position of a point on a rotating wheel is given by θ = 1.6...
The angular position of a point on a rotating wheel is given by
θ = 1.6 + 4.2t2 +
1.7t3, where θ is in radians and
t is in seconds
(a) At t = 0, what is the point's angular position?
(b) At t = 0, what is the point's angular velocity?
(c) What is its angular velocity at t = 4.0 s?
(d) Calculate its angular acceleration at t = 2.0
s.
(e) Is its angular acceleration constant?
is...
1. A centrifuge starts from rest and reaches an angular velocity of 30000 rpm in 5s. What is the angular acceleration(in...
1. A centrifuge starts from rest and reaches an angular velocity of 30000 rpm in 5s. What is the angular acceleration(in rad/s2) of this device? 2. A flywheel rotating at 20 rpm undergoes an angular acceleration of 2.0 rad/s2 for precisely 5 revolutions. What is the angular velocity of the flywheel at the end of this acceleration?
Question 3 1 pts When a ceiling fan rotates about its central hub, what is true...
Question 3 1 pts When a ceiling fan rotates about its central hub, what is true about all the points on the fan blades? They all have the same angular acceleration and different angular velocities. They all have the same angular velocity and angular acceleration. They all have the same tangential velocity and angular velocity They all have the same tangential acceleration and tangential velocity. They all have the different angular accelerations and the same tangential accelerations.
One of the choices below increases the magnitude of the acceleration of a point on a...
One of the choices below increases the magnitude of the acceleration of a point on a spinning wheel by a factor of 4. Don NOT assume that the wheel is spinning at a constant speed. A) The magnitudes of the angular velocity and the angular acceleration are each multiplied by a factor of 4 B) The magnitude of the angular velocity is multiplied by a factor of 4 and the angular acceleration is not changed C) The magnitudes of the...
1. Consider the pendulum model that we discussed in class. It's also on page 71 of the lecture notes 4. Again, for simplicity, we assume m-1-1-1 Suppose in addition we consider a damping force of this model as follows. The magnitude of the damping force is proptional to angular velocity while its direction is opposite to the one of the angular velocity. For simplicity, we may assume the damping force to be -' Then the net external torque become τ...
Problem 4 A uniform slender rod of length L- 3 m and mass 2 kg rotates freely (no friction) about hinge at A. Att- 0, the initial angle is B 30 and the initial angular velocity SQUARED is 4.9 rads/s in the counter-clockwise direction. a) What are the hinge reaction forces, acceleration of the center of mass, angular velocity (squared) and angular acceleration as functions of B, b) what are the hinge reaction forces, acceleration of the center of mass...
2. Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 5.0 s, it rotates 25 rad. During that time, what are the magnitudes of (a) the angular acceleration and (b) the average angular velocity? (c) What is the instantaneous angular velocity of the disk at the end of the 5.0 s? (d) With the angular acceleration unchanged through what additional angle will the disk turn during the next 5.0s?
2. Starting from rest, a...
The angular position of a point on a rotating wheel is given by
θ = 1.6 + 4.2t2 +
1.7t3, where θ is in radians and
t is in seconds
(a) At t = 0, what is the point's angular position?
(b) At t = 0, what is the point's angular velocity?
(c) What is its angular velocity at t = 4.0 s?
(d) Calculate its angular acceleration at t = 2.0
s.
(e) Is its angular acceleration constant?
is...
Question 3 1 pts When a ceiling fan rotates about its central hub, what is true about all the points on the fan blades? They all have the same angular acceleration and different angular velocities. They all have the same angular velocity and angular acceleration. They all have the same tangential velocity and angular velocity They all have the same tangential acceleration and tangential velocity. They all have the different angular accelerations and the same tangential accelerations.
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