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Loginfinal angular velocity, ω = 1000 rpm = 1000/60 rev/sec
Time taken , t = 6 sec
We know, the formula,
ω = ω₀ + αt
Where α is angular acceleration.
1000/60 = 0 + α6
α = 1000/360 = 100/36 = 25/9 rev/s²
Now, use formula
θ = ω₀t + 1/2αt²
= 0 + 1/2 × 25/9 × (6)²
= 1/2 × 25/9 × 36
= 1/2 × 25 × 4
= 50 rev
1000/60 = 0 + 6a
a = 2.78
S = ut +. 5at^2
= 0 +. 5 * 2.78 * 36
= 50