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VINNANDE VETANDE - Svenska Fysikersamfundet

VINNANDE VETANDE - Svenska Fysikersamfundet

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) Den resulterande tryckkraften utgör i detta fall centripetalkraft<br />

Fc = ∆p<br />

⋅ A = ρ ⋅ g ⋅ h ⋅ A.<br />

Olika delar av den horisontella vätskan har olika centripetalaccelerationer<br />

2<br />

eftersom a = x ⋅ω<br />

c<br />

Den resulterande kraften blir därför<br />

2 2<br />

l ⋅ω<br />

⋅ ρ ⋅ A<br />

l ⋅<br />

Detta ger = ρ ⋅ g ⋅ h ⋅ A som ger h =<br />

2<br />

2g<br />

Svar:<br />

2 2<br />

l ⋅ a<br />

l ⋅ω<br />

a) h = och b) h = .<br />

g<br />

2g<br />

F<br />

c<br />

289<br />

l<br />

2 2<br />

2<br />

l ⋅ω<br />

⋅ ρ ⋅ A<br />

= ∫ x ⋅ω<br />

⋅ ρ ⋅ A⋅<br />

dx<br />

=<br />

.<br />

2<br />

0<br />

2 2<br />

ω

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