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PH101 HW Rotational Kinematics 1

PH101 HW Rotational Kinematics 1 - This print-out should...

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This print-out should have 22 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 2) 10.0 points A record has an angular speed of 19 . 4 rev / min. What is its angular speed? Correct answer: 2 . 03156 rad / s. Explanation: Let : ω = 19 . 4 rev / min . ω = (19 . 4 rev / min) 2 π rad rev 1 min 60 s = 2 . 03156 rad / s . 002 (part 2 of 2) 10.0 points Through what angle does it rotate in 0 . 82 s? Correct answer: 1 . 66588 rad. Explanation: Let : t = 0 . 82 s . θ = ω t = (2 . 03156 rad / s) (0 . 82 s) = 1 . 66588 rad . 003 (part 1 of 4) 10.0 points Consider the following values ω avg Δ θ Δ t a +2 . 1 rad 10 . 6 s +0 . 99 rev / s b 0 . 50 s c - 1 . 5 turns 1 . 7 s +1 . 1 π rad / s +2 . 0 π rad d What is the value of a ? Correct answer: 0 . 198113 rad / s. Explanation: Let : Δ θ = +2 . 1 and Δ t = 10 . 6 s . ω avg = Δ θ Δ t = +2 . 1 rad 10 . 6 s = 0 . 198113 rad / s . 004 (part 2 of 4) 10.0 points What is the value of b ? Correct answer: 3 . 11018 rad. Explanation: Let : ω avg = +0 . 99 rev / s and Δ t = 0 . 50 s . Δ θ = ω avg Δ t = (+0 . 99 rev / s) 2 π rad 1 rev (0 . 5 s) = 3 . 11018 rad . 005 (part 3 of 4) 10.0 points What is the value of c ? Correct answer: - 5 . 54399 rad / s. Explanation: Let : Δ θ = - 1 . 5 turns and Δ t = 1 . 7 s . ω avg = Δ θ Δ t = - 1 . 5 turns 1 . 7 s · 2 π rad 1 turn = - 5 . 54399 rad / s .
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006 (part 4 of 4) 10.0 points What is the value of d ? Correct answer: 1 . 81818 s. Explanation: Let : ω avg = +1 . 1 π rad / s , and Δ θ = +2 . 0 π rad . Δ t = Δ θ ω avg = +2 π rad +1 . 1 π rad / s = 1 . 81818 s . 007 (part 1 of 2) 10.0 points A dentist’s drill starts from rest. After 4 . 28 s of constant angular acceleration it turns at a rate of 36840 rev / min.
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