Continuous rotary → continuous rotary

Open Belt Drive

Two pulleys connected by an uncrossed belt transmit rotation between parallel shafts. In the ideal no-slip case, the shafts turn in the same direction and pulley radii set the speed ratio.

Collection contextBrown 001
Mechanism Labanalytic · ideal open belt
Drag the mechanism or change a parameter.
180 mm
30 rpm
Output directionSame
Speed ratio1.000
Output speed30.0 rpm
Belt speed0.141 m/s
Driver wrap
Ideal belt length

What it does

Transmit rotation across a distance.

An open belt lets one rotating shaft drive another without placing their axes next to one another. With no slip, every point on the belt has the same linear speed where it meets each pulley. That one constraint determines the ideal angular-speed relationship.

ω₂ / ω₁ = r₁ / r₂Ideal open belt: same rotation direction. Here r₁ and r₂ are the driver and driven pitch radii; ω₁ and ω₂ are their angular velocities.
v = r₁ω₁ = r₂ω₂The same ideal belt speed v passes both pulley pitch circles. Change the driver speed above and the belt-speed readout updates from this relation.

Why it matters

A simple transmission with useful freedom.

Belt drives can bridge more shaft spacing than meshing gears while keeping the transmission conceptually simple. Changing pulley size changes speed ratio without changing the underlying motion type. That makes this a useful first mechanism for separating motion, geometry, and ratio.

What the ideal model captures

  • same-direction rotation for an open belt;
  • constant angular-speed ratio from pulley pitch radii;
  • tangent belt geometry, wrap angle, belt length, and belt speed;
  • how center distance changes geometry without changing the ideal speed ratio.

What it intentionally leaves out

Real belts stretch, slip, bend, heat, and require tension. Available torque depends on friction, wrap, tension, belt construction, and operating conditions. Atlas labels this model as ideal kinematics rather than pretending those effects are already included.

Collection 001 · Henry T. Brown

Brown begins with the basic idea.

In 507 Mechanical Movements, this arrangement appears as movement 1. Brown's description focuses on the two facts a learner should notice first: power is transmitted by the belt, and an open routing preserves rotational direction.

“Illustrates the transmission of power by simple pulleys and an open belt. In this case both of the pulleys rotate in the same direction.”Henry T. Brown, movement 1 · online transcription reference

View the current 507movements.com reference ↗

What changes next?

Cross the belt and direction reverses.

Brown's next closely related arrangement crosses the belt before it reaches the driven pulley. The pulley-size ratio can stay the same, but the output direction reverses. That makes the crossed belt a particularly clean example of changing one geometric relationship while preserving the basic transmission principle.

002
Crossed Belt Drive

Same transmission idea · reversed output direction · continue the learning progression.