**a-**

Angular acceleration:

$\overline{){\mathbf{a}}{\mathbf{=}}\frac{\mathbf{d}{\mathbf{\omega}}_{\mathbf{z}}\mathbf{\left(}\mathbf{t}\mathbf{\right)}}{\mathbf{d}\mathbf{t}}}$

$\mathit{a}\mathbf{=}\frac{\mathbf{d}}{\mathbf{d}\mathbf{t}}\mathbf{(}\mathit{\gamma}\mathbf{-}\mathit{\beta}{\mathit{t}}^{\mathbf{2}}\mathbf{)}$

A fan blade rotates with angular velocity given by *ω** _{z}*(

a- Calculate the angular acceleration as a function of time *t* in terms of *β* and *γ*. Express your answer in terms of some or all of the variables *β*, *γ*, and *t*.

b- Calculate the instantaneous angular acceleration *α** _{z}* at

c- Calculate the average angular acceleration *α*_{av−}* _{z}* for the time interval

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Converting Between Linear & Rotational concept. You can view video lessons to learn Converting Between Linear & Rotational. Or if you need more Converting Between Linear & Rotational practice, you can also practice Converting Between Linear & Rotational practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Dhumal's class at FGCU.