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Practice problem

Relation Between Length and Period

By Victor Wang
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Orange: y=x^2 Black: y=sqrt(x) Purple: y=3x-1 Blue: y=3^x

Tick Tock is performing experiments on pendulums. She wants to know how the length of a pendulum (measured in a unit of length) affects its period (measured in a unit of time). The period is the time it takes for the pendulum to swing back and forth once.

Pendulum. The end is a massive bob with a trajectory. Where it would hang without moving is the equilibrium position. The bob is attached to a massless rod and a frictionless pivot. The angle theta is the amplitude.

Source

Which of the graphs shown above could represent the period as a function of pendulum length?

Choose one answer

Type a concept, like “slope” or “photosynthesis”.

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