A wheel starting from rest is rotating with a constant angular acceleration of 3rad/s².An observer notes that it traces an angle of 120 radians in 4sec interval. For how long the wheel has been rotated when the the observer started his observation?
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Answered by
1
Angular acceleration α=3rad/s
2
From rotational kinematics:
θ=ω
1
t+
2
1
αt
2
[during the 4s internal]
60=4ω
1
+
2
1
×3×16
=4w
1
+24
4ω
1
=36
ω
1
=9rad/s
The wheel starts from res, therefore ω
0
=0
ω
1
=ω
0
+αt
′
9=0+3t
′
t
′
=
3
9
=3s
Answered by
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Explanation:
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