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Engineering & Physics CalcyZone Calculator

Wave Speed Calculator (v = fλ)

Solve the wave equation for speed, frequency or wavelength.

Solved speed
343.2 m/s
Period
0.0023 s

Step-by-step working

  1. v = f λ
  2. v = 440 × 0.78 = 343.2 m/s

Mathematical Formula

v = f λ; period T = 1/f.

Overview & Explanation

For any periodic wave, speed equals frequency times wavelength.

How It Works

  • Pick the unknown.
  • Rearrange v = fλ.

Practical Applications

  • Sound and radio wavelengths.
  • Physics homework.

Example 1: wavelength of 440 Hz in air

Speed 343 m/s.

1

Inputs

Solve for: Wavelength λ · Frequency (Hz): 440 · Speed (m/s): 343

= entered
2

Step 1

v = f λ

3

Step 2

λ = 343 / 440 = 0.7795 m

4

Solved wavelength

Result

= 0.7795 m

Example 2: FM radio 100 MHz

λ ≈ 3 m.

1

Inputs

Solve for: Wavelength λ · Frequency (Hz): 100000000 · Speed (m/s): 299792458

= entered
2

Step 1

v = f λ

3

Step 2

λ = 299792458 / 100000000 = 2.9979 m

4

Solved wavelength

Result

= 2.9979 m

How it's calculated & sources

v = f λ; period T = 1/f.

Frequently Asked Questions

Speed of sound?
≈ 343 m/s in air at 20 °C.
Speed of light?
299,792,458 m/s exactly.
Does frequency change between media?
No, speed and wavelength change.