A crane hoists a load of 2,2 tons by means of a chain. The crane hoisting drum has a rotational frequency of 60 r/min and a diameter of 750 mm. Calculate the following: 1.1.1 The torque required to hoist the load (1) 1.1.2 The rope speed of the load in m/s
May 22, 20231.1.1 To calculate the torque required to hoist the load, we can use the following formula: T = (F x D)/2 where T is the torque, F is the force (weight of the load), and D is the diameter of the hoisting drum. First, we need to convert the weight of the load from tons to Newtons: 2.2 tons x 1000 kg/ton x 9.81 m/s^2 = 21562 N Next, we need to convert the diameter of the hoisting drum from millimeters to meters: 750 mm = 0.75 m Now we can plug in the values into the formula: T = (21562 N x 0.75 m)/2 = 8071.25 Nm Therefore, the torque required to hoist the load is 8071.25 Nm. 1.1.2 To calculate the rope speed of the load in m/s, we can use the following formula: v = (π x D x n)/60 where v is the rope speed, D is the diameter of the hoisting drum, and n is the rotational frequency of the drum in revolutions per minute. First, we need to convert the rotational frequency from revolutions per minute to revolutions per second: 60 r/min = 1 r/s Now we can plug in the values into the formula: v = (π x 0.75 m x 1 r/s)/60 = 0.03927 m/s Therefore, the rope speed of the load is 0.03927 m/s.
May 23, 2023