When a car engine is turned off, the angular speed of the flywheel decreases linearly with time from 1200 rev/min to zero. a) Find the average angular acceleration b) How many revolutions does the flywheel make before stopping?
How long does it take to come to zero?
w=changeangvelociy/time
revtostop=1/2 w t^2
I want help me
To find the average angular acceleration, we need to use the equation:
angular acceleration (α) = (final angular speed - initial angular speed) / time
a) However, we are not given the time it takes for the flywheel to come to a stop, so we need to find that first.
Given:
Initial angular speed (ω1) = 1200 rev/min
Final angular speed (ω2) = 0 rev/min
Time (t) = Unknown
Using the formula, we can write the equation as:
α = (ω2 - ω1) / t
To find the value of 't', we need to convert the angular speeds from rev/min to rad/s. We know that rev/min is equal to 2π rad/min. Therefore, we can write:
ω1 = 1200 rev/min * (2π rad/rev) * (1 min/60 s) = 40π rad/s
ω2 = 0 rev/min * (2π rad/rev) * (1 min/60 s) = 0 rad/s
Now, we can substitute these values into the equation:
α = (0 - 40π) / t
To find the average angular acceleration, we need to have the value of 't'. Unfortunately, it is not provided in the given information. Without the time, we cannot calculate the average angular acceleration.
b) Similarly, to find the number of revolutions the flywheel makes before stopping, we need to know the time it takes for the flywheel to come to a stop. Since we don't have that information, we cannot calculate the number of revolutions.