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A wheel is rotating counterclockwise, which we will define as the positive direction, at an angular velocity of 2 rad/s. If the wheel then experiences a clockwise angular acceleration of 1 rad/s2, what is the wheel’s angular velocity 3 seconds later

Respuesta :

Answer:1 rad/s clockwise

Explanation:

Given

angular velocity[tex](\omega _0)=+2 rad/s[/tex] (ccw)

angular acceleration [tex]\alpha =-1 rad/s^2[/tex]

wheel velocity after [tex]t=3 s[/tex]

we know

[tex]\omega =\omega _0+\alpha \cdot t[/tex]

where [tex]\omega =final\ angular\ velocity[/tex]

[tex]\omega _0=initial\ angular\ velocity[/tex]

[tex]\alpha =angular\ acceleration[/tex]

[tex]t=time[/tex]

[tex]\omega =2-1\times 3=-1 rad/s[/tex]

i.e.[tex]\omega =1 rad/s[/tex] clockwise

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