#
**Problem**: A fan blade rotates with angular velocity given by ωz(t) = γexttip{gamma }{gamma} - βexttip{eta }{beta}t2.a) Calculate the angular acceleration as a function of time.b) If γexttip{gamma}{gamma_1} = 5.05 rad/s and βexttip{eta}{beta_1} = 0.805 rad/s3 , calculate the instantaneous angular acceleration αz at t exttip{t}{t_0}= 3.10 s .c) If γ exttip{gamma}{gamma_1} = 5.05 rad/s and βexttip{eta}{beta_1} = 0.805 rad/s3 , calculate the average angular acceleration αav - z for the time interval t = 0 to t exttip{t}{t_0}= 3.10 s .

###### FREE Expert Solution

###### Problem Details

A fan blade rotates with angular velocity given by ω_{z}(t) = γexttip{gamma }{gamma} - βexttip{eta }{beta}t^{2}.

a) Calculate the angular acceleration as a function of time.

b) If γexttip{gamma}{gamma_1} = 5.05 rad/s and βexttip{eta}{beta_1} = 0.805 rad/s^{3} , calculate the instantaneous angular acceleration α_{z} at t exttip{t}{t_0}= 3.10 s .

c) If γ exttip{gamma}{gamma_1} = 5.05 rad/s and βexttip{eta}{beta_1} = 0.805 rad/s^{3} , calculate the average angular acceleration α_{av - z} for the time interval t = 0 to t exttip{t}{t_0}= 3.10 s .

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 Rotational Velocity & Acceleration concept. You can view video lessons to learn Rotational Velocity & Acceleration Or if you need more Rotational Velocity & Acceleration practice, you can also practice Rotational Velocity & Acceleration practice problems .

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Woods' class at USF.