school
Acemy

Rotational Kinematics

AP Physics 1· difficulty 2/5

0 4 8 0 20 t (s) ω (rad/s)

A wheel's angular velocity rises linearly from 00 to 20 rad/s20~\text{rad/s} over 4 s4~\text{s}, then remains constant. Through what total angle does it rotate during the first 8 s8~\text{s}?

  • A

    40 rad40~\text{rad}

  • B

    120 rad120~\text{rad}

    check_circle
  • C

    160 rad160~\text{rad}

  • D

    80 rad80~\text{rad}

Explanation

Angle = area under ω\omega-vs-tt = 12(4)(20)+(4)(20)=40+80=120 rad\tfrac{1}{2}(4)(20) + (4)(20) = 40 + 80 = 120~\text{rad}.

Want 10 more like this — adaptive to your weak spots?

Practice 10 like thisarrow_forwardPredict my AP score

Related questions

auto_awesomeAll Toolsquestion_answerHomework Q&Amenu_bookAP & SAT PreptimelineLearn Mode