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ivann1987 [24]
3 years ago
10

A fan blade rotates with angular velocity given by ωz(t)= γ − β t2, where γ = 4.90 rad/s and β = 0.750 rad/s3 . part a calculate

the angular acceleration as a function of time.
Physics
2 answers:
Klio2033 [76]3 years ago
8 0
The angular velocity as a function of time is given by
\omega (t)=\gamma-\beta t^2
where \gamma=4.90 rad/s and \beta=0.750 rad/s^3. The angular acceleration as a function of time is equal to the derivative of the angular velocity. If we calculate the derivative of w(t), we find:
\alpha(t)= \frac{d\omega}{dt} =-2\beta t
<span>and this is the angular acceleration of the fan blade.</span>
Umnica [9.8K]3 years ago
7 0

Answer:

Angular acceleration, α = -2βt

Explanation:

Angular velocity of fan is \omega_{z(t)}=\gamma -\beta t^2

\gamma=4.90\ rad/s

\beta=0.750\ rad/s^3

Angular acceleration is given by :

\alpha=\dfrac{d\omega}{dt}

\alpha=\dfrac{d(\gamma -\beta t^2)}{dt}

\alpha=-2\beta t

Hence, the above equation is the angular acceleration as a function of time.   

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