T = 90 min = 90 *60 s = 5400 s = 54 *10² s h = 430 km R = 6370 km R₁ = R + h = 6800 km = 6900000 m = 68 *10⁵ m a = ? a = V² / R ₁ a = V²/R+h V = 2πR₁ / T V = 2π (R + h ) / T V² = 4π² (R + h )² / T² a = 4π² (R + h )² / T² /R + h a = 4π²(R + h ) ( R + h ) / T² * 1 / (R+h) a = 4 π² ( R + h ) /T² a = 4 * (3,14)² * 68 *10⁵ m /( 54*10² s )² a = 4 *9,86 * 68 *10⁵ m /2916 *10⁴ s² a ≈ 9,2 m / s²
dane: T = 90 min = 90 x 60s = 5 400 s = 5,4 x 10^3 s h = 430 km R = 6370 km r = h+R = 430km+6370km = 6800 km = 6 800 000 m = 6,8 x 10^6 szukane: ar = ? ar = v^2 /r v = 2TTr/T v^2 = 4TT^2 /T2 ar = 4TT^2 *r^2 /T^2 : r = 4TT^2 *r/T^2 = 4 x 3,14^2 x 6,8 x 10^6/(5,4 x 10^3 s)^2 = = 39,4 x 6,8/29,16 m/s2 = 9,187 m/s2 ar = 9,2 m/s2 ============
