Na statek o masie 1000 t płynacy z predkoscia 10 m/s dziala siła dosrodkowa o wartosci 100 kN.Ile wynosi jego promien skrętu?
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m = 1000t = 1000 000kg
v = 10m/s
F = 100kN = 100 000N
F = mv²/r => r = mv²/F
r = 1000 000kg x (10m/s)²/100 000N = 1000m
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dane:
m = 1000 t = 1 000 000 kg = 10⁶ kg
v = 10 m/s
Fd = 100 kN = 100 000 N = 10⁵ kg·m/s²
szukane:
r = ?
Fd = mv²/r I*r
r·Fd = mv² /:Fd
r = mv²/Fd = 10⁶kg·(10m/s)²/10⁵kg·m/s² = 1000 m
r = 1000 m
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Odp.Szukany promień wynosi 1000 m.