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Why can a Technic-style rocker return faster with a steady crank?

Build an original four-bar timing bench, predict unequal crank arcs and compare ideal stroke times with a lab and a fair observation worksheet.

For builders exploring linkage motion and fair timing tests · 21 October 2026 · 5 min read

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A rocker can return faster because its two strokes can use different amounts of input-crank rotation. At constant input speed, the stroke that uses fewer crank degrees takes less time. One full turn still makes one complete out-and-back cycle. The shorter time is a consequence of the linkage geometry and the steady-speed assumption, not proof of extra power.

Build a loop with four real pivots

The new Unequal Return Timing Bench closes a loop with a short rotating crank, a connecting link, a longer rocking arm and the fixed distance between two shafts. Its ground distance is four hole spacings, its crank radius is one, its connecting link is five and its rocker radius is four. At eight millimetres per hole spacing, those are 32, 8, 40 and 32 millimetres. Measure between pivot centres, not along the outside of the plastic.

A yellow gear serves as a crank plate. Its round joint hole is one spacing from its keyed shaft. The other gear is a mounting hub for the red output beam. These gears do not mesh. The blue connecting beam uses its first and sixth holes, five spaces apart; its unused seventh hole does not lengthen the connection. Separate height layers keep the blue link above the main shaft tips.

Bricks Master Builders’ independent Four Bar Linkage Mechanism demonstration inspired the crank-and-rocker question. The inspected segment shows a powered yellow linkage on a supported frame. Our original horizontal bench uses different geometry, support hardware and instructions. We do not reproduce the creator’s exact mechanism, infer hidden joints, or claim to have measured the source model’s timing. The linked demonstration and brief description are inspiration rather than an assembly guide for this bench.

Predict the two input arcs

It is tempting to divide a turn into two equal halves because the output goes one way and then back. That only works for particular arrangements. A four-bar’s output reverses when the crank and connecting link align. Our two reversal positions do not lie opposite each other around the input circle.

Interactive: Must both rocker strokes take half a turn?. Predict unequal input arcs between output reversals, scrub the native four-bar, vary assumed constant speed and compare ideal times. Resettable geometry, not measured hand motion.

Scrub the input angle through a complete turn. In the ideal native geometry the output reverses near 41.41 degrees and at 240 degrees. Continuing in the same input direction gives one interval of about 198.59 degrees and another of about 161.41 degrees. The shorter interval wraps through zero: 240 degrees to 401.41 degrees is the same physical arc as 240 degrees through 360 to 41.41. Do not subtract the displayed numbers without handling that wrap.

Choose an assumed input speed of 7.5 revolutions per minute. One turn takes eight seconds. The longer stroke takes about 4.413 seconds and the shorter about 3.587 seconds. These are calculations, not stopwatch readings. Change only the assumed speed to fifteen revolutions per minute: both times halve, while their ratio stays the same. The time ratio is about 1.230, not the ratio of gear tooth counts. No gear mesh transmits the motion in this build.

Turning fully is different from rocking

The crank can turn all the way because these link lengths form a suitable crank-rocker. The shortest plus longest link is one plus five, less than the other two lengths added together, four plus four. This is the useful Grashof length check for the selected arrangement; which link is fixed also matters. It does not certify clearances, support, friction or a safe load.

Compare the Parallel Motion Bench, where equal opposite link lengths preserve the connecting bar’s direction over its reviewed limited sweep. Our timing bench deliberately uses unequal moving lengths. The Nodding-Donkey Pump Jack is another crank-rocker, with its own dimensions and purpose. A similar family name does not give all three models the same path, angle range or timing. Read the linkage guide and the crank explanation to identify each link’s job.

Run a fair angle-first experiment

Build the free instructions and check the caps before turning anything. Hold the stationary frame level. Gently rotate the input plate in one direction by its rim, keeping your fingers clear of the rod. Find the red arm’s two reversal positions without forcing it. Place reference marks on paper clear of the mechanism. Observe from the same top-view direction each time.

ObservationTrial oneTrial twoTrial three
Input angle at first output reversalYour observationYour observationYour observation
Input angle at second output reversalYour observationYour observationYour observation
Longer and shorter input arcs, including wrapYour calculationYour calculationYour calculation
Time for each stroke, if input speed is controlledYour measurement or unavailableYour measurement or unavailableYour measurement or unavailable

A paper angle reference can help count the crank interval. Record uncertainty from reading angle, finding a reversal and joint play. Return to the same reference, keep the same turning direction and do three trials. Do not copy the lab’s numbers into the observation columns. Hand motion usually changes speed, so a stopwatch alone cannot establish the predicted duration ratio. Measure the crank arcs first; record controlled-speed timing as unavailable if you cannot hold or verify that condition. We have not physically commissioned this model or tested its accuracy, speed or load capacity.

A loose joint can imitate a timing effect

If a shaft walks upward, a cap is missing or not seated. Both main shafts need stops above and below their frame bearings. Both connecting joints need their own retention, and the taller input joint needs its spacer as well. The red arm attaches to its hub with two separated pins so it cannot hinge freely around a single mounting pin. See the axle guide, bush guide and frame guide.

Stop for rubbing, lifting, a slipping arm or a distorted loop. Do not hold a moving link to replace missing support. Do not lengthen the input shaft into the rod’s sweep or attach a motor or weight without a new clearance and support review. An unequal return is useful only when you can explain which input arc was shorter, what stayed fixed, and whether the speed assumption held.

Interactive: Check yourself. A few quick questions on the ideas in this guide, each with an explanation.

  1. Why can one stroke take less time at a constant input speed?
  2. What is the shorter forward input arc from 240° to the next 41.41° position?
  3. What happens when the assumed constant input speed doubles?
  4. Does a quicker observed return during uneven hand cranking prove the predicted time ratio?

Watch the mechanisms in action

Independent creator demonstrations of related mechanisms, not instructions for the same MightyCog models. Playing a video connects to YouTube; its privacy policy applies.

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