external air pressure is po = 1.013 × 10° Pa. Under these conditions the density of air is pi = 1.2 kg/m³. Take g = 9.81 m.s-2. Assume that the pressure in the balloon is the same as the outside pressure except for part (c). (a) What temperature T, must the warmed air inside the balloon have to make the balloon just float? (b) First the balloon is held fast to the ground and the internal air is heated to a steady- state temperature of T3 = 110°C. The balloon is fastened with a rope. Calculate the force on the rope. (c) Consider the balloon being tied up at the bottom (the density of the internal air stays constant). With a steady-state temperature T3 = 110°C of the internal air the balloon rises in an isothermal atmosphere of 20°C and a ground pressure of Po 1.013 × 10° Pa. Which height h can be gained by the balloon under these conditions?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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3. Consider a hot-air balloon with fixed volume VB = 1.1 m³. The mass of the balloon
envelope, whose volume is to be neglected in comparison to VB, is m̟ = 0.187 kg. The
balloon shall be started, where the external air temperature is T1 = 20°C and the normal
%3D
Transcribed Image Text:3. Consider a hot-air balloon with fixed volume VB = 1.1 m³. The mass of the balloon envelope, whose volume is to be neglected in comparison to VB, is m̟ = 0.187 kg. The balloon shall be started, where the external air temperature is T1 = 20°C and the normal %3D
= 1.013 x 10° Pa. Under these conditions the density of air
external air pressure is p.
is pi = 1.2 kg/m³. Take g = 9.81 m.s-2. Assume that the pressure in the balloon is the
same as the outside pressure except for part (c).
(a) What temperature T, must the warmed air inside the balloon have to make the
balloon just float?
(b) First the balloon is held fast to the ground and the internal air is heated to a steady-
state temperature of T3 = 110°C. The balloon is fastened with a rope. Calculate
the force on the rope.
(c) Consider the balloon being tied up at the bottom (the density of the internal air
stays constant). With a steady-state temperature T3 = 110°C of the internal air
the balloon rises in an isothermal atmosphere of 20°C and a ground pressure of
1.013 x 10° Pa. Which height h can be gained by the balloon under these
Po =
conditions?
Transcribed Image Text:= 1.013 x 10° Pa. Under these conditions the density of air external air pressure is p. is pi = 1.2 kg/m³. Take g = 9.81 m.s-2. Assume that the pressure in the balloon is the same as the outside pressure except for part (c). (a) What temperature T, must the warmed air inside the balloon have to make the balloon just float? (b) First the balloon is held fast to the ground and the internal air is heated to a steady- state temperature of T3 = 110°C. The balloon is fastened with a rope. Calculate the force on the rope. (c) Consider the balloon being tied up at the bottom (the density of the internal air stays constant). With a steady-state temperature T3 = 110°C of the internal air the balloon rises in an isothermal atmosphere of 20°C and a ground pressure of 1.013 x 10° Pa. Which height h can be gained by the balloon under these Po = conditions?
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