← Describing rotation

Shorter period, more turns each second

Dagny spins two bike wheels in a repair stand. The front wheel takes 0.5 s for each revolution. The rear wheel takes 2 s for each revolution.

Which wheel has the greater frequency?

Watch one second of the front wheel: each revolution takes 0.5 s, so 2 whole revolutions fit into that second.

Dagny's two wheelswheelperiodfront wheel0.5 srear wheel2 s
Two periods: 0.5 s and 2 s.

Watch one second of the rear wheel: each revolution takes 2 s, so only half of a revolution fits.

revolutions completed in one second2 revfront wheel0.5 revrear wheel
In one second: 2 whole revolutions against half a revolution. The shorter period wins.

Taking less time for each revolution means more revolutions fit into each second.

So the wheel with the shorter period has the greater frequency.

Of two spinning objects, the one with the shorter period has the greater frequency.

Two drill bits spin. One takes 0.1 s for each revolution; the other takes 0.4 s. Which bit has the greater frequency?

Coral says: 'The mixer taking 0.3 s per revolution has a greater frequency than the mixer taking 0.9 s per revolution.' Is Coral correct?

Two fans spin. One completes each revolution in 0.25 s; the other takes 1.0 s. Which fan has the greater frequency?

The 0.25 s fan has the shorter period.

A shorter period packs more revolutions into each second.

The 0.25 s fan has the greater frequency.

Two merry-go-rounds each take 6.0 s for every revolution. Which has the greater frequency?

The periods are equal, 6.0 s each.

Equal periods fit the same number of revolutions into each second.

Neither: the two frequencies are equal.

The boundary: equal periodsmerry-go-roundperiodrevolutions in one secondfirst6.0 sone sixthsecond6.0 sone sixth
Equal periods: equal frequencies.

Bruno says: 'The turntable taking 1.8 s per revolution completes more revolutions each second than the turntable taking 0.6 s per revolution.' Is Bruno correct?

Your turn

Three rotating signs have periods of 0.8 s, 1.6 s, and 3.2 s. Which sign completes the most revolutions each second?

Two shop fans spin. Which feature decides which fan has the greater frequency?

A tall Ferris wheel and a small kiddie wheel each take 20 s for every revolution. Which statement is correct?