Average Speed or Mean Speed | Santa Fe College - Edubirdie

University:
Santa Fe College
Course:
PHY 2048 | General Physics 1 with Calculus
Academic year:

2024
Views:

236

Pages:

2
Author:

Jabin F.

Average Speed or Mean Speed τ=⟨c⟩= ∫ 0 ∞ p(c)dc ∫ 0 ∞ p(c)cdc ⟨ 𝑐 ⟩ = ∫ 0 ∞ 𝑒 − 𝑚 𝑐 2 2 𝑘 𝐵 𝑇 𝑐 3 𝑑 𝑐 ∫ 0 ∞ 𝑒 − 𝑚 𝑐 2 2 𝑘 𝐵 𝑇 𝑐 2 𝑑 𝑐 ⟨c⟩= ∫ 0 ∞ e − 2k B T mc 2 c 2 dc ∫ 0 ∞ e − 2k B T mc 2 c 3 dc ⟨ 𝑐 ⟩ = 2 𝜋 ( 𝑚 2 𝑘 𝐵 𝑇 ) 1 / 2 × 8 𝑘 𝐵 𝑇 𝜋 𝑚 ⟨c⟩= π 2 ( 2k B T m ) 1/2 × πm 8k B T ⟨ 𝑐 ⟩ = 8 𝑘 𝐵 𝑇 𝜋 𝑚 = 8 𝑅 𝑇 𝜋 𝑀 ⟨c⟩= πm 8k B T = πM 8RT

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