The number of revolutions is 301
Explanation:
Angular acceleration, α = 3.5 rad/s
Time, t = 9s
Number of revolutions, n = ?
We know,
[tex]\alpha = \frac{w}{t}[/tex]
where,
ω = angular velocity
t = time
It can also be written as:
[tex]\alpha = \frac{\pi n}{t X 30}[/tex]
On substituting the value, we get:
[tex]3.5 = \frac{\pi X n}{9 X 30} \\\\n = 300.8[/tex]
Therefore, the number of revolutions is 301
