Question

If γ = 5.45 rad/s and β = 0.770 rad/s³, calculate the average angular acceleration αav-z for the time interval t = 0 to t = 2.90 s. Express your answer in radians per second squared.

Answer 1

The average angular acceleration (αav-z) for the given time interval is 8.312 rad/s².

Step-by-step explanation:

The average angular acceleration (αav-z) can be calculated by using the formula:

αav-z = (γ*t + 0.5*β*t^2) / t

Substituting the given values, we get:

αav-z = (5.45*2.9 + 0.5*0.770*(2.9)^2) / 2.9

Simplifying the expression gives us αav-z = 8.312 rad/s².