Question

You have been assigned to determine the safe amount of volume waste to be held by a drum. Knowing that the weight of the 45 [cm] diameter drum is 80 [kg] which contains waste material of mass density 1100 [kg/m3). The drum is being hoisted by a 30 [mm] diameter steel cable that has a module of elasticity of E = 210 [N/m2]. When the drum is to be hoisted 12 [m], the systems natural frequency is measured as 40 [HZ]. 1- Calculate the equivalent stiffness of the cable. 2- Calculate the total mass of the drum. 3- Calculate the mass of waste material. 4- Calculate the volume of the waste material. 5- Calculate the height of the waste material contained in the drum, is the height more than the drums height, the drum has a height of 70 [cm].

Answer 1

The modulus of elasticity of steel given in above problem is 210 Pa (which is wrong - the sum wont be solved). The correct modulus of elasticity of steel to be used is 210GPa. Rest all data is correct. Please refer below detailed solution to above problem.