On a part-time job, you are asked to bring a cylindrical iron rod of density 7800 kg/m3, length 81.5 cm and diameter 2.55 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. express your answer numerically in newtons.

To answer this question, we will follow these steps:

1 - get the volume of cylinder

2 - use the density and the volume to get the mass

3 - multiply the mass by acceleration due to gravity to get the weight

1 - Volume of cylinder can be calculated using the following rule:

volume = pi * r^2 * h where:

pi is a constant = 3.14

r is the radius = 2.55/2 = 1.275 cm = 0.01275 meters

h is the height = 81.5 cm = 0.815 m

volume = 3.14 * (0.01275) ^2 * (0.815) = 4.16 * 10^-4 m^3

2 - Density can be calculated using the following rule:

Density = mass / volume

mass = density * volume

mass = 7800 * 4.16 * 10^-4 = 3.2449 kg

3 - To get the weight, multiply the mass by acceleration due to gravity as follows:

weight = 3.2449 * 9.8 = 31.8 newtons