A flywheel rotates with an initial angular velocity of 10 rad/s and accelerates uniformly at 4.0 rad/s² for 5.0 seconds. What is the total angle turned through by the wheel during this time?
Answer and explanation
Correct answer: D. 100 rad
- Step 1: Rotational kinematic equation: θ = ω0 t + 0.5 α t². Step 2. Substitute values: θ = 10(5.0) + 0.5(4.0)(5.0)² = 50 + 2.0(25) = 50 + 50 = 100 rad. Answer: 100 rad. Why not the others: 80 rad neglects acceleration factor; 120 rad assumes ω0 = 14 rad/s; 50 rad only accounts for initial velocity.
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