A flywheel rotates with a uniform angular acceleration. its angular velocity increase from 20π rad/sec to 40π rad/sec in 10 seconds. How many rotation did it make it period :-
A
150
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
100
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
125
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
175
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is A 150
Given, ω0=20π rad/s ωt=40π rad /s and, Δt=10sec.
Thus, α=ωt−ω0Δt=40π−20π10rad/s2=(2π)rad/s2
Now, total angle covered during time t (Δθ)=ω0t+12αt2∴Δθ=20π×10+12×(2π)×100=300π Hence, total rotation made during this time =300π2π=150