Trucks Ceiling
Uncategorized June 20th. 2011, 3:09amTrucks Ceiling
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Find the magnitude and diretion of the net force acting on the baloon due to the air.?
A cube-shaped helium balloon, measuring 0.5 m along all sides, is in an empty truck, floating along the ceiling. The truck begins to accelerate at 1m/s^2. find the magnitude and direction of the net force acting on the balloon due to the air. Assume that air in the truck is incompressible, and that the balloon is oriented so that the sides are parallel to to the truck walls. (density of helium = 1 kg/m^3 and density of air = 1.2 kg/m^3)
ρh = 1 kg/m^3
ρa = 1.2 kg/m^3
Vh = 0.5^3 = 0.125 m^3
Mh = Vhx ρh = 0.125 kg
a = 1 m/s^2
The buoyant force acting on the balloon is
F1 = ρaxVhxg = 1.2x 0.5^3x9.8 = 1.47 N (vertically up)
The inertial force acting on the balloon is
F2 = Mhxa = Vh ρh x a = 0.5^3 x1x1 = 0.125 N ( horizontal and opposite to acceleration)
The net force acting on the balloon is
F = sqrt ( F1^2 + F2^2) = sqrt (1.47^2 + 0.125^2) = 1.475 N
The angle made by the net force with the (horizontal ) with F2 is
tanα = F1/F2 = 1.47/0.125 = 11.76
α = 85.14 deg ( with F2 towards F1)
ICT to present Peterbilt truck with a 132-inch ICT Sleeper


US $179.99
























































