The wheel, rotating uniformly accelerated, reached an angular velocity of 20 rad / s 10 revolutions
| September 16, 2021 | education
The wheel, rotating uniformly accelerated, reached an angular velocity of 20 rad / s 10 revolutions after the start of rotation. Find the angular acceleration of the wheel.
Given: ω0 (initial angular velocity) = 0 rad / s; ω (end angular velocity) = 20 rad / s; n (number of revolutions) = 10 revolutions.
2Π * n = φ = ε * t ^ 2/2 = ε * (ω / ε) ^ 2/2 = ω2 / 2ε.
ε = ω ^ 2 / (2 * 2Π * n) = 20 ^ 2 / (2 * 2 * 3.14 * 10) = 3.18 rad / s2.
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