Respuesta :
When the stick is released from the horizontal position then the angular velocity of the stick when it swings through the vertical is 3.13 rad/s.
Average angular velocity equals change in angular position over change in time, the symbol for angular velocity is the lowercase Greek letter omega,ω. The two most common units for angular velocity are radians/sec and revolutions per minute.
When you swing something around in a circle the net force points toward the center of the circle. The centripetal acceleration can be calculated using the velocity of the object and the radius of the circle.
Another variable important to circular motion is arc length (s). Arc length is the distance between two points on a circle (s)=rФ.
The units of arc length are meters, assuming that r is measured in meters and θ is measured in radians. There are 2π radians in 360°. There are π radians in 180°.
Loss in potential energy potential energy of the system,
Δρε = 4gL/2-2gL/2 = gL
Moment of inertia of system about centre of notation,
I= 6(L^2)/12 + 2( L/2) ² + 4 (L/2)²
I=2L^2
Let the required angular relocity be w
Rotational kinetic energy =Iw^2/2 = (2L^2/2) w² = L^2w^2
From energy conservation, ΔPE =L^2w^2
=3.13 rad/s
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