Answer:
Revolutions = θ = 11.47
Explanation:
Given that:
Angular acceleration = α = 4 rad/s^2
As the wheel starts from rest so, ω₀ = 0
Time = t = 6 seconds
So we have to calculate revolutions per second, we know that:
θ = ω₀ t + 1/2 ( α * t ^2)
By putting values:
θ = 0 * 6 + 1/2(4 * (6^2))
θ = 0 + 2* 36
θ = 72
As the rotation angle is 2π, the revolutions will be calculated as:
s = θ / 2π.
By putting values:
s = 72/2(3.14)
s = 72/6.28
s = 11.47
So, there will be 11.47 revolutions in 6 seconds.
i hope it will help you!
