Question

A merry-go-round on a playground consists of a horizontal solid disk with a weight

Answer 1

Answer:α = 1.00 rad/s², τ = 90.0 N•m, KEr = 1.12 kJ

Explanation:

m = 795/9.81 = 81.0 kg

ω₁ = 47.79 rev/min(2π rad/rev) / (60 s/min) = 5.00 rad/s

α = (ω₁ - ω₀)/τ = (5.00 - 0.00)/5.00 = 1.00 rad/s²

I = ½mR² = ½(81.0)(1.49²) = 90.0 kg•m²

τ = Iα = 90.0(1.00) = 90.0 N•m

KEr = ½Iω² = ½(90.0)5.00² = 1,124.477 ≈ 1.12 kJ