A heavy flywheel is accelerated (rotationally) by a motor that provides constant torque and therefore a constant angular acceleration a. The flywheel is assumed to be at rest at time t = 0 in Parts A and B of this problem. Find the time t₁ it takes to accelerate the flywheel to w₁ if the angular acceleration is c. Express your answer in terms of w₁ and a. ▸ View Available Hint(s) t₁ = Submit 195] ΑΣΦΑ ?
Angular Momentum
The momentum of an object is given by multiplying its mass and velocity. Momentum is a property of any object that moves with mass. The only difference between angular momentum and linear momentum is that angular momentum deals with moving or spinning objects. A moving particle's linear momentum can be thought of as a measure of its linear motion. The force is proportional to the rate of change of linear momentum. Angular momentum is always directly proportional to mass. In rotational motion, the concept of angular momentum is often used. Since it is a conserved quantity—the total angular momentum of a closed system remains constant—it is a significant quantity in physics. To understand the concept of angular momentum first we need to understand a rigid body and its movement, a position vector that is used to specify the position of particles in space. A rigid body possesses motion it may be linear or rotational. Rotational motion plays important role in angular momentum.
Moment of a Force
The idea of moments is an important concept in physics. It arises from the fact that distance often plays an important part in the interaction of, or in determining the impact of forces on bodies. Moments are often described by their order [first, second, or higher order] based on the power to which the distance has to be raised to understand the phenomenon. Of particular note are the second-order moment of mass (Moment of Inertia) and moments of force.
Any help with these problems would be greatly appreciated!
![A heavy flywheel is accelerated (rotationally) by a motor that
provides constant torque and therefore a constant angular
acceleration a. The flywheel is assumed to be at rest at time
t = 0 in Parts A and B of this problem.
▼
Part A
Find the time t₁ it takes to accelerate the flywheel to w₁ if the angular acceleration is a.
Express your answer in terms of w₁ and a.
► View Available Hint(s)
t₁ =
Submit
Part B
IVE ΑΣΦ
0₁ =
Find the angle 0₁ through which the flywheel will have turned during the time it takes for it to accelerate from rest up to angular velocity w₁.
Express your answer in terms of some or all of the following: w₁, a, and t₁.
► View Available Hint(s)
——| ΑΣΦ
?
Submit
?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03d19364-d2f4-4703-a72b-e46c5aa833e9%2F993267ec-3828-4273-affb-9923ab75246e%2Fhkxxue_processed.png&w=3840&q=75)
![A bicyclist starts from rest and begins riding down the street. After her wheels have rotated through ten revolutions, they have acquired an angular
velocity of 19 rad/s. Determine the angular acceleration of her wheels.
Express your answer in radians per second squared.
απ
ΨΕΙ ΑΣΦ
?
rad/s²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03d19364-d2f4-4703-a72b-e46c5aa833e9%2F993267ec-3828-4273-affb-9923ab75246e%2Fxoca4ie_processed.png&w=3840&q=75)
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