THE PRACTICE STUDIO

Go slowly. Ask why. Make it yours.

PRACTICE · MEMBERSIntermediate · Single correct

PRACTICE / Pendulum experiment

Extract gravity from a straight-line graph

A small-angle pendulum experiment plots T² in s² against length L in metres. The best-fit line has slope 4.0 s²/m.

Find the inferred gravitational acceleration.

Organize the givens & assumptions
  • slope = 4.0 s²/m

Small-angle simple pendulum with negligible damping; length is pivot to bob centre; uniform gravity.

  1. Aπ2 m s−2\pi^2\ \mathrm{m\,s^{-2}}
  2. B4 m s−24\ \mathrm{m\,s^{-2}}
  3. C4π2 m s−24\pi^2\ \mathrm{m\,s^{-2}}
  4. D1/π2 m s−21/\pi^2\ \mathrm{m\,s^{-2}}

Try it on paper first. Free sample problems in every collection include the complete reasoning: find one in this collection →