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

AI Thread Summary
The discussion focuses on calculating the initial angular velocity and angular acceleration of a flywheel that rotates 80 radians in the first 4 seconds with constant angular acceleration, followed by 60 radians in the next 4 seconds at constant angular velocity. The equations used include Q = w0t + 1/2at^2 and w = w0 + at, which help derive the values of angular acceleration and initial angular velocity. The calculations lead to a system of equations that can be solved for the unknowns. The final step involves writing the equation for Q after the additional 4 seconds. Understanding these concepts is crucial for analyzing rotational motion in physics.
manal950
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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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Write the equation for Q after the additional 4 s time.

ehild
 
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