In 1982 Larry Walters ascended from his home in Long Beach, California, to an altitude of 4900 m (16,000 ft) after tying 42 helium-filled, 1.9-m diameter weather balloons to his patio chair. Show that the buoyant force on these balloons at sea level would be 1800 N.
To show: The buoyant force on the balloons at sea level is
Explanation of Solution
Given:
Altitude achieved by weather balloons = 4900m
Diameter of balloon = 1.9m
Formula used:
The buoyant force acting on the balloon at the sea level is,
Here,
Calculation:
Total volume is equal to the volume of the 42 helium-filled balloons.
Here,
The radius of the balloon is,
Here,
Substitute
Substitute
Substitute
Round off the obtained value, the force is 1800 N.
Conclusion:
Therefore, the buoyant force on the balloons at sea level is
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