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How heavy is 974 grains?

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It's about two-fifths as heavy as a Billiard Ball.
In other words, 974 grains is 0.38718012422360 times the weight of a Billiard Ball, and the weight of a Billiard Ball is 2.58277720739220 times that amount.
(American-style, WPA specifications)
Per the World Pool-Billiard Association, a billiard ball weight must weigh between 2,406.250 grains and 2,625 grains. According to legend, the difficulty in obtaining elephant ivory for the manufacture of billiard balls in the 19th century inspired the search for a replacement material, which led to the development of the first industrial plastic.
It's about two-fifths as heavy as a Puck (Hockey).
In other words, 974 grains is 0.38718012422360 times the weight of a Puck (Hockey), and the weight of a Puck (Hockey) is 2.58277720739220 times that amount.
(Ice hockey)
A standard ice hockey puck weighs between 2,406.250 grains and 2,625 grains. Hockey pucks can be shot or passed at speeds of up to 160 kph (99 mph) during games.
It's about two-and-a-half times as heavy as a Battery (AA).
In other words, the weight of a Battery (AA) is 0.380 times 974 grains.
(Alkaline)
An "AA" size battery weighs 370 grains. AA batteries came into common use during World War II and were given their name by the American National Standards Institute (ANSI) Committee C18 because they were smaller than the "A" size batteries which were invented first.
It's about three times as heavy as a Mouse.
In other words, the weight of a Mouse is 0.330 times 974 grains.
(a.k.a. "House mouse", Mus musculus) (adult)
The weight of a mouse is typically an average of 320 grains. While most mice typically live two to three years, the Methuselah Mouse Prize — an award administered by a non-profit organization which advances aging-related research — was once awarded to a team of scientists whose research resulted in a mouse living just under five years.
It's about three-tenths as heavy as a Hamster.
In other words, the weight of a Hamster is 3 times 974 grains.
(for Syrian hamster, a.k.a. golden hamster, a.k.a. Mesocricetus auratus; adult)
An adult Syrian hamster has a typical weight of about 3,000 grains. Known for transporting food in the pouches of their cheeks so that they can bury it later, some hamsters can store up to 400,000 grains of food in their borrows.
It's about four times as heavy as a Compact disc.
In other words, 974 grains is 4.20 times the weight of a Compact disc, and the weight of a Compact disc is 0.240 times that amount.
(a.k.a. CD)
A compact disc typically weighs 230 grains. Data is stored on CDs by encoding into the track a series of tiny pits — each between 3.5 and 850 µm (0.00014 and 0.033 in) in length.
It's about one-fifth as heavy as a Human Heart.
In other words, the weight of a Human Heart is 5 times 974 grains.
(human; adult)
The average human heart weighs about 4,800 grains. Each minute, the heart pumps between 10 and 20 liters (3 to 5 gallons) of blood through its chambers.