Starting from rest, the flywheel of a motor attains an angular velocity 100 rad/s from rest in 10 s. Calculate
(i) angular acceleration and
(ii) angular displacement in 10 seconds.
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Initial angular velocity (ω) = 0
Final angular velocity (ω') = 100 rad/sec
Time taken (t) = 10 sec.
i) Now we find angular acceleration(α)
ω' = ω + αt
100 = 0 + α*10
α = 100/10 = 10 rad/sec² .This is the angular acceleration.
ii) Now we find angular displacement (Ф)
From Ф = ωt+1/2αt²
on substituting we get
Ф = 0*10 + 1/2* 10*100
Ф = 500 radians
Final angular velocity (ω') = 100 rad/sec
Time taken (t) = 10 sec.
i) Now we find angular acceleration(α)
ω' = ω + αt
100 = 0 + α*10
α = 100/10 = 10 rad/sec² .This is the angular acceleration.
ii) Now we find angular displacement (Ф)
From Ф = ωt+1/2αt²
on substituting we get
Ф = 0*10 + 1/2* 10*100
Ф = 500 radians
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