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getty102
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Homework Statement
Due to an increase in power, the motor M rotates the shaft A with an angular acceleration(α=0.06θ^2) rad/s^2, where θ is in radians. If the shaft is initially turning at ω
=50 rad/s, determine the angular velocity of gear B after the shaft undergoes an angular displacement Δθ=10 revolutions.
Homework Equations
ω^2=ωsub0^2+2α(θ-θsub0)
v=ωr
The Attempt at a Solution
I converted 10 revs to 62.83 rad. I then used the first equation by subbing in ωsub0, α, and 62.83 for θ and θ-θsub0. I came up with 179.62rad/s for ωsubA. I then found the velocity of shaft A using v=ωr. vsubA=vsubB therefore I tried to find ωsubB using ω=v/r. This did not work. Any thoughts?