Find mass of uniform solid disk?

In summary, a uniform solid disk is a circular object with a constant density throughout its volume, also known as a circular plate or disc. To find its mass, you can use the formula: mass = density x volume, with density being mass divided by volume. The unit of measurement for mass is typically grams or kilograms. The mass of a uniform solid disk cannot vary due to its constant density. Mass and weight are often used interchangeably, but they are not the same thing. Mass is a measure of the amount of matter, while weight is a measure of the force of gravity acting on an object.
  • #1
saturn67
54
0
you need to design an industrial turntable that is 48.0 cm in diameter and has a kinetic energy of 0.300 J when turning at 31.0 rpm

i found that inertia of the turntable about the rotation axis
is = 5.71×10^-2 kg m^2

If your workshop makes this turntable in the shape of a uniform solid disk, what must be its mass?

it try to use I=mr^2
so mass = I/r^2

but that don't work
 
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  • #3
Woot it work thank you
 

What is a uniform solid disk?

A uniform solid disk is a type of object that has a circular shape and a constant density throughout its entire volume. It can also be referred to as a circular plate or disc.

How do you find the mass of a uniform solid disk?

To find the mass of a uniform solid disk, you can use the formula: mass = density x volume. The density can be found by dividing the total mass of the disk by its volume. The volume of a disk can be calculated using the formula: volume = π x radius^2 x height.

What is the unit of measurement for mass?

The unit of measurement for mass is typically grams (g) or kilograms (kg).

Can the mass of a uniform solid disk vary?

No, the mass of a uniform solid disk cannot vary because it has a constant density throughout its entire volume. This means that the mass will remain the same regardless of its size or shape.

What is the difference between mass and weight?

Mass and weight are often used interchangeably, but they are not the same thing. Mass is a measure of the amount of matter in an object, while weight is a measure of the force of gravity acting on an object. Mass is constant, but weight can vary depending on the strength of the gravitational pull.

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