a wheel accelerates from rest with a 4 rad/s^2. how many revolutions are experienced in 6 seconds

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!

answer:

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answer:

the answer is d

explanation: