03_circular_motion_formula_sheets_getmarks_app

Uniform Circular Motion

v = rω

Non-Uniform Circular Motion

mvr

Centripetal Force

F_c = (mv²)/r

Angle of Banking

θ = tan⁻¹(v²/(rg))

Static Friction

f_s ≤ μ_s N

Condition for No Skidding

f_s ≥ F_c

Vertical Circular Motion

T - mg = (mv²)/r

Mechanical Energy Conservation

E = KE + PE

Tension in String

T = mg + (mv²)/r

Toppling of Automobile

h > r

Angular Velocity

ω = Δθ/Δt

Centripetal Acceleration

a_c = ω²r

Gravitational Force

F_g = (Gm_1m_2)/r²

Kinetic Energy

KE = (1/2)mv²

Potential Energy

PE = mgh

Work-Energy Principle

W = ΔKE

Projectile Motion

Trajectory influenced by gravity and initial velocity.

Centrifugal Force

An apparent force acting outward on a body moving around a center.

Torque

τ = rF sin(θ)

Potential Energy

( PE = mgh )