On a part-time job, you are asked to bring a cylindrical iron rod of density 7800 kg/m3 , length 90.8 cm and diameter 2.75 cm from a storage room to a machinist. Calculate the weight of the rod, w. The acceleration due to gravity, g = 9.81 m/s2 .

Respuesta :

Answer:

Weight of the rod, W = 41.202 N

Explanation:

It is given that,

Density of the cylindrical iron rod, [tex]d=7800\ kg/m^3[/tex]

Length of the cylindrical iron rod, l = 90.8 cm = 0.908 m

Diameter of the rod, d = 2.75 cm = 0.0275 m

Radius, r = 0.01375 m

Acceleration due to gravity, [tex]g=9.81\ m/s^2[/tex]

We know that the mass per unit volume is called density of a substance. Its relation is given by :

[tex]d=\dfrac{m}{V}[/tex]

[tex]m=d\times \pi r^2 l[/tex]

[tex]m=7800\times \pi (0.01375)^2 \times 0.908[/tex]

m = 4.20 kg

Weight of the rod,

W = mg

[tex]W=4.2\ kg\times 9.81\ m/s^2[/tex]

W = 41.202 N

So, the weight of the rod is 41.202. Hence, this is the required solution.