An 8-m-diameter hot air ballooon that has a total mass of 400 kg isstanding still in air on a windless day. The balloon suddenly is subjected to a 50 km/hrwind. Determine the initial acceleration of the balloon in the horizonal direction.

The value of acceleration of the balloon a = 2.9

Explanation:

Diameter = 8 m

Mass = 400 kg

Speed V = 50 = 13.89

Coefficient of drag = 0.2 for air

Area = = 50.24

We know that force on the balloon is given by

Put all the values in above equation we get

× 0.2

F = 1163.15 N

Now acceleration of the balloon is given by

a = 2.9

This is the value of acceleration of the balloon.

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