Question

A wheel is at rest. It’s angular velocity increases uniformly and becomes 80 radian per second after 5second . The total angular displacement?

Answer 1

both the methods are same ... actually in the 2nd method I did directly....

hope it helps you...
☺☺

Answer 2

Hey dear,

◆ Answer-
θ = 200 rad

◆ Explaination-
# Given-
ω1 = 0
ω2 = 80 rad/s
t = 5 s
θ = ?

# Solution-
Average angular velocity is -
ω = (ω1 + ω2) / 2
ω = (0 + 80) / 2
ω = 40 rad/s

Angular displacement is calculated by-
θ = ωt
θ = 40 × 5
θ = 200 rad

Therefore, total angular displacement in first 5 s is 200 rad.

Hope it helps you...