← Describing rotation

Period

Bruno rides a carousel. It carries him all the way around once in 8 s. The next time around also takes 8 s, and so does the next.

That repeat time deserves a name of its own.

The time an object takes to complete one revolution is called its period.

The period's symbol is a capital T.

A period is a time, so it is measured in seconds.

Bruno's carousel, timedrevolutiontime takenfirst8 ssecond8 sthird8 s
Every revolution takes 8 s: the period is T = 8 s.

The carousel takes 8 s for each revolution, so its period is T = 8 s.

A steadily turning object repeats its revolution in the same time, every time: one period.

One period eachobjecttime for one revolutionperiodceiling fan0.6 sT = 0.6 sbike wheel in a stand1.8 sT = 1.8 sblender blade0.08 sT = 0.08 s
Every spinning object has its own period: the time its one revolution takes.

Other quantities also want the letter T: temperature arrives later in the course, and tension already names the force in a rope.

When the period shares a problem with tension or temperature, this course writes the other quantity out as a word, and T stays the period.

A Ferris wheel takes 90 s to carry a seat around once. Enter the wheel's period in s.

Astrid says: 'A ride's period is a time, so it is measured in seconds.' Is Astrid correct?

A wind turbine blade takes 4.0 s to complete each revolution. State its period.

The time for one revolution is 4.0 s.

The turbine's period is T = 4.0 s.

On a windier day, the same turbine completes each revolution in 2.5 s. State its period now.

The same turbine on two daysdaytime for one revolutioncalm day4.0 swindier day2.5 s
A faster spin means a shorter period.

The time for one revolution is now 2.5 s.

A faster spin means each revolution takes less time.

The turbine's period is now T = 2.5 s.

Your turn

A carousel is timed. Which time is the carousel's period?

A merry-go-round turns steadily. A rider passes the entry gate at 12 s on a stopwatch, goes once around, and passes the gate again at 15 s. Enter the period in s.

Dagny measures a wheel's period. Which unit does she record?

The time an object takes to complete one revolution is called its ___.