Wedges at Amusement Parks: Roller Coaster Tracks as Inclined Planes

A **roller coaster track** is the quintessential wedge (inclined plane) at an amusement park—though engineers call it a "lift hill" or "drop profile."

Physics of the Coaster Wedge

• Lift hill: Chain-driven inclined plane (wedge) — motor does work against gravity (W = mgh), storing gravitational potential energy
• First drop: Steep inclined plane (45-90°) — potential → kinetic energy conversion (mgh → ½mv²)
• Subsequent hills: Series of wedges — energy exchanges with friction/air resistance losses
• Banked turns: Wedges in horizontal plane — normal force provides centripetal acceleration
• Brake run: Shallow wedge or horizontal — friction brakes dissipate residual kinetic energy

Other Park Wedges

• Water slides: Flumes as lubricated wedges (gravity + water lubrication)
• Ramp launches: Roller coaster launch tracks (linear induction/motor) — accelerated wedges
• Walkways/ramps: ADA-compliant inclined planes for accessibility
• Loading platforms: Slight wedges for drainage

Mechanical Advantage

Ideal MA = length / height. Coaster lift hill: ~100 ft rise over 300 ft track = MA 3:1. Chain tension = weight/3 (ignoring friction). Real MA lower due to friction, chain sag, motor efficiency.

Design Evolution

• Wood coasters: Layered lumber wedges (laminated track)
• Steel coasters: Tubular steel wedges (precision fabricated)
• Launch coasters: Horizontal wedges (LIM/LSM acceleration) replacing lift hills

Every coaster is fundamentally a **gravity-powered wedge sequence**—the oldest simple machine, engineered for thrill.