Math  /  Calculus

QuestioniClicker Student - Login HW9.7 - PHYS 112 | PrairieLe 1 Inbox (1,047) - rhea.umraniac gordon ramsay thaw black se prairielearn.ok.ubc.ca/pl/course_instance/58/instance_question/2435307/ irieLearn PHYS 112, 2024WT1S2 Assessments Gradebook HW9
HW9.7. Rotational Displacement of Tires
A van accelerates from rest at t=0t=0 such that its tires undergo a constant rotational acceleration of α=\alpha= 8.51rad/s28.51 \mathrm{rad} / \mathrm{s}^{2}.
Compute the rotational displacement of each tire at t=13.5 st=13.5 \mathrm{~s}. Δθ\Delta \theta number (rtol =0.05=0.05, atol =1e08=1 \mathrm{e}-08 )
Problem is licensed under the CC-BY-NC-SA 4.0 license. (c) CHBYNC\mathrm{CH}_{\mathrm{BY}}^{\mathrm{NC}} (5) () Save \& Grade 4 attempts left Save only Additional attempts available with new variants -

Studdy Solution
Calculate the rotational displacement:
Δθ=12×8.51×182.25 \Delta \theta = \frac{1}{2} \times 8.51 \times 182.25 Δθ=4.255×182.25 \Delta \theta = 4.255 \times 182.25 Δθ=774.79875rad \Delta \theta = 774.79875 \, \mathrm{rad}
The rotational displacement of each tire is approximately:
774.80rad \boxed{774.80 \, \mathrm{rad}}

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