University Physics Volume 1 — Mechanics · Problem 34
Units and Measurement — OpenStax
Physics — University · unit-conversion
Problem
American football is played on a 100-yd-long field, excluding the end zones. How long is the field in meters? (Assume that 1 m = 3.281 ft.)Intuitive explanation
This is a unit conversion problem where you need to chain together the given relationships to get from yards to meters. The key insight is to convert yards → feet → meters by multiplying by the conversion factors in sequence, canceling units as you go. Since you're given the meter-to-foot ratio, you'll need to use its reciprocal to convert feet back to meters. Keep track of which units cancel at each step, and you'll arrive at the answer cleanly.
Intuitive explanation
This is a unit conversion problem where you need to chain together the given relationships to get from yards to meters. The key insight is to convert yards → feet → meters by multiplying by the conversion factors in sequence, canceling units as you go. Since you're given the meter-to-foot ratio, you'll need to use its reciprocal to convert feet back to meters. Keep track of which units cancel at each step, and you'll arrive at the answer cleanly.