Mass of disk given mass per unit

[aaronfue]

Homework Statement

I need to find the mass of a disk with a hole, given inner and outer diameters of 0.10m and 0.30m, respectively. The disk has a mass per unit of 20 \frac{kg}{m^2}.

The Attempt at a Solution

Since I needed mass units, I thought that I could multiply the mass per unit by the area of each disk, the disk as a whole and the missing hole. (The missing will be subtracted from the whole)

So,

Whole disk:
20 \frac{kg}{m^2} × \pi × 0.30 m² = 5.65 kg

Missing hole:
20 \frac{kg}{m^2} × \pi × 0.10 m² =0.628 kg

Total mass of disk:
5.65 kg - 0.628kg = 5.03 kg

Is this correct?

I will also have another question that I will need answered related to this but I will try it on my own and provide my calculations.

Thanks for the help!

 

[SteamKing]

What is the formula for the area of a circle?

 

[aaronfue]

What is the formula for the area of a circle?

Area of Circle: \pir²

 

[SteamKing]

And have you used the correct r in your calculations? Hint: Read the OP again very carefully.

 

[aaronfue]

And have you used the correct r in your calculations? Hint: Read the OP again very carefully.

Oh...I used the diameter instead of the radius!

20\frac{kg}{m^2} × 0.15² = 1.414 kg

20\frac{kg}{m^2} × 0.05² = 0.158 kg

Total mass: 1.414 - 0.158 = 1.256 kg