Level:
Project ID:
1003124805
Accepted:
1
Clonable:
0
Easy:
0
On a spool of mass \( 0.5\,\mathrm{kg} \) is winded an aluminium wire of length \( 100\,\mathrm{m} \). Choose the function that describes the dependence of a mass of the spool with the wire \( m \) (in kilograms) on a diameter of the wire \( d \) (in millimetres). Wire density is \( 2\,700\frac{kg}{m^3} \).
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Hint: The density of an object is defined as the ratio of the mass and the volume of the object.
\( m=\frac{27\pi}{400} d^2+0.5 \)
\( m= 67 500\pi d^2+0.5 \)
\( m=\frac{27\pi}{400} d^2-0.5 \)
\( m=\frac{27\pi}{200} d^2+0.5 \)