What Are the Initial Angular Velocity and Angular Acceleration of the Flywheel?

In summary, the angular velocity of the flywheel can be calculated by dividing the total number of radians by the time taken. The angular acceleration is 0 radians/second^2 since the flywheel is rotating at a constant velocity. It will take the flywheel 5 seconds to make 100 radians, and the moment of inertia can be calculated using the formula I = mr^2. The angular velocity of the flywheel can be changed by altering the force or torque applied to it, or by changing its moment of inertia.
  • #1
manal950
177
0
A flywheel makes 80 radians in 4 second and is rotating with constant angular acceleration during this time . It makes 60 radians in next 4 second with constant angular velocity .
Find initial angular velocity and the angular acceleration ?

my answer is

form this equation
Q= w0t + 1/2at^2
80 = w0(4) + 1/2(a)(4)^2 ==== 1
w = w0 + at
15 = w0 + a(4) ========= 2

so from this two equation we find a and v
 
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  • #2


Write the equation for Q after the additional 4 s time.

ehild
 

FAQ: What Are the Initial Angular Velocity and Angular Acceleration of the Flywheel?

1. What is the angular velocity of the flywheel?

The angular velocity can be calculated by dividing the total number of radians by the time taken. In this case, the angular velocity is 80 radians/4 seconds = 20 radians/second.

2. What is the angular acceleration of the flywheel?

The angular acceleration can be calculated by dividing the change in angular velocity by the change in time. Since the flywheel is rotating at a constant velocity, the angular acceleration is 0 radians/second2.

3. How long will it take the flywheel to make 100 radians?

We can use the formula t = θ/ω, where t is the time, θ is the total number of radians, and ω is the angular velocity. So, t = 100 radians/20 radians/second = 5 seconds.

4. What is the moment of inertia of the flywheel?

The moment of inertia is a measure of the flywheel's resistance to changes in its rotational motion. It can be calculated using the formula I = mr2, where m is the mass of the flywheel and r is its radius.

5. How can the angular velocity of the flywheel be changed?

The angular velocity can be changed by either changing the number of radians the flywheel makes in a given time, or by changing the time taken for the flywheel to make a certain number of radians. This can be achieved by altering the force or torque applied to the flywheel, or by changing its moment of inertia.

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