It takes 5 min to hoist a load of 30 kN through a height of 70 m. Calculate power required

Answer 1

To calculate the power required, we will use the formula:

Power = Work / Time

First, we need to calculate the work done, which is given by:

Work = Force * Distance

The force is 30 kN, which is equal to 30,000 N. The distance is 70 m. Thus:

Work = 30,000 N * 70 m
= 2,100,000 Nm

Next, we need to convert the time from minutes to seconds since the standard unit for time in power calculations is seconds. There are 60 seconds in 1 minute. Thus, the time is:

Time = 5 min * 60 s/min
= 300 s

Now, we can calculate the power:

Power = Work / Time
= 2,100,000 Nm / 300 s
= 7,000 W

Therefore, the power required to hoist the load is 7,000 watts.