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How heavy is 0.01 tons?

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It's about 2,500,000 times as heavy as a Sesame Seed.
In other words, 0.01 tons is 2,490,000 times the weight of a Sesame Seed, and the weight of a Sesame Seed is 0.0000004020 times that amount.
(Sesamum indicum)
A sesame seed weighs approximately 0.000000004010 tons. The McDonald's Big Mac sandwich, which is well-known for its sesame seed top bun, accounts for the consumption of an estimated 2.210 tons of sesame seeds each day.
It's about 0.0000004 times as heavy as The Statue of Liberty.
In other words, 0.01 tons is 0.0000003680 times the weight of The Statue of Liberty, and the weight of The Statue of Liberty is 2,720,000 times that amount.
(a.k.a. Liberty Enlightening the World, a.k.a. La Liberté éclairant le monde) (total weight, including foundation)
The total weight of the Statue of Liberty, including her base is roughly 27,100 tons. The statue was designed using an optical trick known as "forced perspective" to make the statue appear proportionally correct when viewed from its base and is, in actuality, disproportionately large at the top.
It's about 0.00000008 times as heavy as The CN Tower.
In other words, 0.01 tons is 0.0000000769390 times the weight of The CN Tower, and the weight of The CN Tower is 12,997,000 times that amount.
(a.k.a. La Tour CN, a.k.a. Canadian National Tower, a.k.a. Canada's National Tower) (Toronto, Canada)
The CN Tower weighs approximately 129,970 tons. The Tower is home to the world's highest glass floor — a viewing area that allows visitors to look straight down 342 m (1,120 ft) to the ground below.
It's about 15,000,000 times as heavy as a Grain of Sugar.
In other words, 0.01 tons is 14,500,000 times the weight of a Grain of Sugar, and the weight of a Grain of Sugar is 0.0000000690 times that amount.
(a.k.a. white sugar, a.k.a. white refined sugar, a.k.a. table sugar, a.k.a. sucrose, a.k.a. saccharose)
A grain of sugar weighs approximately 0.0000000006890 tons. Sugar consumption varies widely by country; the average citizen of the United States consumes about 0.0675 tons of sugar each year.
It's about 0.00000005 times as heavy as The Sears Tower.
In other words, 0.01 tons is 0.000000044950 times the weight of The Sears Tower, and the weight of The Sears Tower is 22,250,000 times that amount.
(officially "Willis Tower" as of 2009) (Chicago, Illinois)
The Willis Tower weighs approximately 222,400 tons. The outer wall surface of the Tower is covered with black anodized aluminum panels which would total 110,000 sq. m (28 acres) if laid out together.
It's about 30,000,000 times as heavy as a Poppy Seed.
In other words, the weight of a Poppy Seed is 0.0000000330 times 0.01 tons.
(Papaver somniferum)
Fifty percent oil by weight, a poppy seed weighs approximately 0.000000000330 tons. The true pigment of a poppy seed is brown in color, while the characteristic bluish color is an optical illusion caused by a layer of calcium oxalate crystals refracting light rays.
It's about 0.00000003 times as heavy as The Empire State Building.
In other words, 0.01 tons is 0.00000002740 times the weight of The Empire State Building, and the weight of The Empire State Building is 36,500,000 times that amount.
(New York City, New York)
The Empire State Building weighs approximately 365,000 tons. About 4% of the building's weight is its 6,000 cu. m (200,000 cu. ft) of limestone façade.