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 fr
om 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
