Question

A ceiling fan starting from rest reaches an angular velocity of 30 rev/sec in 5 sec. What is the angular displacement of the fan during these 5 sec?

Can you show me the steps need to figure this question out?

Thanks!

Answer 1

φ=ω₀t±εt²/2
ω=ω₀±εt
ω=2πn
ω₀=2πn₀=0

φ=εt²/2
2πn= εt
ε=2πn/t
φ=εt²/2=2πn t²/2t= πn t=3.14•30•5=...(rad)