Astrid watches two Ferris wheels from the fair's gate. Each wheel turns through 90°. The taller wheel takes 40 s to do it; the shorter wheel takes 20 s.
Which wheel sweeps angle at the greater rate?
The two sweeps are equal: 90° each.
The times differ: 40 s against 20 s.
Watch the first 20 s of each wheel: the shorter wheel finishes its whole 90°, while the taller wheel has swept only 45°.
Equal angle in less time means more angle in each second.
The rate measures an amount: the angle swept each second. Which way the wheel turns plays no part.
Two park gates each swing through 90°. Dagny's gate takes 3 s; Bruno's gate takes 9 s. Which gate sweeps angle at the greater rate?
A revolving door turns through 120° in 4 s in the morning, and through 120° in 2 s at lunchtime. When does it sweep angle at the greater rate?
Two carousel platforms each turn through 180°. One takes 12 s; the other takes 6 s. Which sweeps angle at the greater rate?
The angles are equal, 180° each.
The 6 s platform took less time for the same angle.
The 6 s platform sweeps angle at the greater rate.
Two box fans each sweep 360° in 2.0 s. Which sweeps angle at the greater rate?
The angles are equal, and the times are equal too.
Nothing differs between the two sweeps.
Neither: the two rates are equal.
Coral says: 'Two rides each turned through 270°. Mine took less time, so mine swept angle at the greater rate.' Is Coral correct?
Three sprinkler heads each sweep through 180°. The first takes 2 s, the second takes 5 s, and the third takes 8 s. Which head sweeps angle at the greatest rate?
Two windmills each turn through the same angle. Which feature decides which one sweeps angle at the greater rate?
Two gears in different clocks each turn through 60°, and each takes 1.5 s. Which statement is correct?