a fly wheel rotating at constant rate of 120 rpm slows down at constant rate of 2 radian per second how many rotations it take in process
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ω₀ = 120 rpm = 2 rps = 4π rad /sec
2 rad/sec^2 angular deceleration.
α = - 2 rad/sec²
ω = 0 = ω₀ + α t => t = 4 π / 2 = 2 π sec.
θ = ω₀ t + 1/2 * α t²
= 4 π * 2 π - 1/2 * 2 * (2π)² = 4 π² rad
Number of rotations = θ/2π = 2 π
2 rad/sec^2 angular deceleration.
α = - 2 rad/sec²
ω = 0 = ω₀ + α t => t = 4 π / 2 = 2 π sec.
θ = ω₀ t + 1/2 * α t²
= 4 π * 2 π - 1/2 * 2 * (2π)² = 4 π² rad
Number of rotations = θ/2π = 2 π
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