Question

A wheel initially at rest rotate with 4 rad/sec, its angular acceleration is 3.6 rad/sec². How many approx: rotation does the wheel how will make 1 sec.​

Answer 1

Hey mate...

here's the answer...

Angular displacement of the wheel = θ=50×2π=100π

Initial angular velocity of the wheel = ω0=0

After, t = 5 seconds

θ=ω0t+12αt2⇒100π=12×α× (5)2⇒100π=12×α× 25⇒α=8π rad/s2  or 4 rev/sω=ω0+2αt⇒ω=0+8π×5=40π rad/s⇒ω=20 rev/s

Hope this helps❤