Answer:
13333.33 rev/min²
Explanation:
Given:
Initial angular speed of the automobile (ω₁) = 1260 rev/min
Final angular speed of the automobile (ω₂) = 3460 rev/min
Time interval for the change in speed (t) = 9.90 s
Angular acceleration of the automobile (α) = ?
Consider the sense of rotation to be positive. So, making use of the equation of motion of rotation, we have:
Rewriting in terms of 'α', we get:
Converting time 't' from seconds to minutes using conversion factor.
1 sec =
So, 9.90 s =
Plug in all the given values and solve for 'α'. This gives,
Therefore, the angular acceleration in revolutions per minute squared is 13333.33 rev/min².