Answer:
The angle through which the wheel turned is 947.7 rad.
Explanation:
initial angular velocity,
= 33.3 rad/s
angular acceleration, α = 2.15 rad/s²
final angular velocity,
= 72 rad/s
angle the wheel turned, θ = ?
The angle through which the wheel turned can be calculated by applying the following kinematic equation;

Therefore, the angle through which the wheel turned is 947.7 rad.
Potential energy = mass x gravity x height
P.E = 4 x 9.8 x 3
P.E = 117.6 J
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