계산 방법 파동 속도 (v = fλ): 주파수 × 파장

계산 파동 속력 with v = fλ. 주파수 vs 파동length, unit traps (Hz, cm), 일ed examples, and a free 파동 속력 calculator.

What 파동 속도 Asks

파동 속력 tells you how fast a disturbance travels through a medium — the crest-to-crest progress along the rope, string, or air column — not how fast one particle on the 파동 wiggles up and down.

The core 공식 is v = f λ (v = f times lambda). 주파수 f is how many 파동s pass per second (hertz). 파장 λ is the length of one full cycle (metres). Their product is 속력 in metres per second.

If you already have f and λ (or v and one unknown), open the free 파동 속력 calculator first, then return here for unit traps and the link to refraction.

The 공식s

  • v = f λ — 파동 속력 from 주파수 and 파동length.
  • f = v / λ — rearrange for 주파수.
  • λ = v / f — rearrange for 파동length.

    • In many intro problems the medium fixes v (sound in air ≈ 340 m/s, light in vacuum ≈ 3.0 × 10⁸ m/s). Then raising f shortens λ so that v = fλ still holds.

    주파수, 파장, and Medium

  • 주파수 is set by the source (how often it vibrates).
  • 파동 속력 is set mainly by the medium (tension, 밀도, temperature).
  • 파장 adjusts so v = fλ stays true for that medium.

    • When a 파동 crosses into a new medium and bends, use Snell's law — 주파수 usually stays the same while 속력 and 파동length change.

    단위

  • f → hertz (Hz). 변환 kHz → Hz (× 1000).
  • λ → metres (m). 변환 cm → m (÷ 100).
  • v → m/s.
  • Leaving λ in centimetres while expecting m/s is a classic exam trap.

    • 풀이 예제

    예제 1: find 파동 속력

    f = 50 Hz, λ = 2.0 m. v = f λ = (50)(2.0) = 100 m/s.

    예제 2: find 파동length

    v = 340 m/s (approx. air), f = 170 Hz. λ = v/f = 340/170 = 2.0 m.

    예제 3: find 주파수

    v = 3.0 × 10⁸ m/s, λ = 0.50 m. f = v/λ = 6.0 × 10⁸ Hz.

    예제 4: convert cm first

    f = 25 Hz, λ = 80 cm = 0.80 m. v = (25)(0.80) = 20 m/s. Using 80 m by 실수 would give 2000 m/s.

    흔한 실수

  • Leaving 파동length in centimetres while expecting m/s.
  • Using kHz as if it were Hz without converting.
  • Confusing 파동 속력 with the oscillation 속력 of a particle.
  • Assuming v always changes when f changes — in many media v is fixed and λ adjusts.

    • 확인 It on the 계산기

    파동 속력 calculator — v = fλ.

    Snell's law calculator.

    속도 calculator for ordinary particle 속력 v = d/t.

    학습 v = fλ and confirm every home일 number on the calculator.

    문서

    • 탄성 위치 에너지 공식 (U = ½kx²): 계산기 & 예제
    • 계산 방법 전기 전력 (P = VI, I²R, V²/R)
    • 계산 방법 무게 (W = mg): 질량 vs 힘
    • 계산 방법 밀도 (ρ = m/V): 질량 ÷ Volume
    • 계산 방법 가속도 (a = (v − u)/t)
    • 계산 방법 힘 (F = ma): Newton’s Second Law

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