Question

Jack and Jill ride the whirl-a-kid at the country fair. It starts at rest, then accelerates uniformly at a rate a = 0.1m/s2. The arms have length r=5m. How long until Jack and Jill break the sound barrier?

Answer 1

They are on the outer rim of the whirl.
So ,αR=a,
α=a/Rajkumar
α=(.1)/5=0.02 radian per second squared
Sound barrier assumed is 330m/s
So when v=330,ω=v/R
Therfore required ω=330/5=66 radian per second
ω(final)=ω(initial)+αthe
66=0.02t
t=3300 seconds
Or 55 minutes