Properties of Circular Motion | Santa Fe College - Edubirdie

University:
Santa Fe College
Course:
ETS 2527C | Electromechanical Components and Mechanisms
Academic year:

2024
Views:

174

Pages:

2
Author:

Jabin F.

# Properties of Circular Motion (Cyclotron Motion) (i) Radius of charge particle: mv²/r = qvB ⇒ r = mv / 2qB (ii) Momentum: p = mv = 2Br (iii) Time period of revolution: T = 2πr / v = 2πm / qB (iv) Frequency of revolution (cyclotron frequency): f = 1/T = qB / 2πm ω = angular frequency = qB / m V) Kinetic energy of charge particle (K): K = p²/2m K = q²B²r²/2m Vi) Angular deviation: ω = 2π/T = 2πf φ = (2π/T)xt = ωt Case 2(i): ⃗v ⊥ ⃗B, θ ≠ 0°, 90°, 180°, 270° θ = 30°, 45°, 60°, ... V∥ = Vcosθ V⊥ = Vsinθ

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