Question

A wheel is making revolutions about its axis with uniform angular acceleration. Starting from rest, it reaches 100 rev/sec in 4 seconds. Find the angular acceleration. Find the angle rotated during these four seconds.

Answer 1

ω₀ = 0 ; ρ = 100 rev/s ; ω = 2 ; ρ = 200 π rad/s
ω = ω₀ = αt
ω = αt
α= (200 π)/4 = 50 π rad /s² or 25 rev/s²
θ = ω₀t + 1/2 αt² = 8 × 50 π = 400 π rad
α= 50 π rad/s² or 25 rev/s²
θ = 400 π rad.