Your team is in charge of launching a large helium weather balloon that is spher

Question

Your team is in charge of launching a large helium weather balloon that is spherical in shape, and whose radius is 2.2 m and total mass is 17.1 kg (balloon plus helium plus equipment).

(a) What is the initial upward acceleration of the balloon when it is released from sea level? (m/s^2)

(b) If the drag force on the balloon is given by the equation below, where r is the balloon radius, ? is the density of air, and v is the balloon's ascension speed, calculate the terminal velocity of the ascending balloon. (m/s)

Explanation / Answer

Here Net Upward Force = Buoyant Force - Weight

= ((4/3)*pi*2.8^3)*1.18*9.8 - 14.4*9.8

= 922.2166 N

Acceleration = 922.2166/14.4

= 64.04 m/sec^2

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