school
Acemy

Frequency and Period of SHM

AP Physics 1· difficulty 2/5

A simple pendulum of length 1.0 m1.0~\text{m} swings through small angles (use g≈10 m/s2g \approx 10~\text{m/s}^2, take π2≈10\pi^2 \approx 10). Approximately what is its period?

  • A

    1.0 s1.0~\text{s}

  • B

    2.0 s2.0~\text{s}

    check_circle
  • C

    6.3 s6.3~\text{s}

  • D

    3.1 s3.1~\text{s}

Explanation

T=2πL/g≈2π1.0/10≈2π(0.316)≈2.0 sT = 2\pi\sqrt{L/g} \approx 2\pi\sqrt{1.0/10} \approx 2\pi(0.316) \approx 2.0~\text{s} (using π≈3.16\pi \approx 3.16).

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