5) [Honors]A seagull, ascending straight upward at 5.2 m/s, drops a shell when it is 12.5m above the ground. (A)
1 answer:
You might be interested in
Q1)
The angular acceleration of the wheel is constant (because the angular velocity is increasing linearly), therefore we can calculate it as the difference between the final and initial angular speed divided by the duration of the motion:
In our problem,
, 
and 
, therefore the angular acceleration is
and its positive sign tells us that the angular acceleration is positive: the angular velocity is increasing during the motion.
q2)
<span>the duration of the time interval when the speed of the wheel is increasing corresponds to the duration of the time interval when the angular velocity is positive, so we have to calculate the time instant when the angular velocity is zero: </span>
.
Since we know the acceleration, we can calculate this time by using
and by substituting
:
This means that after the instant t=3.00 s the angular velocity of the wheel becomes positive, and this means also that its speed starts to increase. Therefore, the duration of the time interval when the speed of the wheel increases is
The angular acceleration of the wheel is constant (because the angular velocity is increasing linearly), therefore we can calculate it as the difference between the final and initial angular speed divided by the duration of the motion:
In our problem,
and its positive sign tells us that the angular acceleration is positive: the angular velocity is increasing during the motion.
q2)
<span>the duration of the time interval when the speed of the wheel is increasing corresponds to the duration of the time interval when the angular velocity is positive, so we have to calculate the time instant when the angular velocity is zero: </span>
Since we know the acceleration, we can calculate this time by using
and by substituting
This means that after the instant t=3.00 s the angular velocity of the wheel becomes positive, and this means also that its speed starts to increase. Therefore, the duration of the time interval when the speed of the wheel increases is