A gramophone record turntable accelerate from rest to an angular velocity of 45.0 rev per min in 1.60 s. What is its average angular acceleration? (Ans: 2.945 rad s⁻²)



Data Given:


Initial angular velocity = ധi = 0 rad s⁻¹

Final angular velocity = ധf = 45 rev min⁻¹ = 45ｘ 2ㄫ60 rad s⁻¹ = 1.5ㄫ rad s⁻¹ = 1.5ｘ3.1416 rad s⁻¹ = 4.712 rad s⁻¹

Time = t = 1.60 s


To Find:


Angular Acceleration  = ∝ = ?


Solution:


Using formula for angular acceleration ∝

∝ = ധf-ധiΔt

By putting values

∝ = 4.712rads⁻¹

∝ = \frac {4.712 rad s⁻¹}{1.6 s}

∝ = 2.945 rad s⁻²

or

∝ = 2.945 rad s⁻²



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