It takes 5 min to hoist a load of 30 kN through a height of 70 m. Calculate work done per min.
To find the work done per minute, we need to find the total work done and then divide it by the time it takes.
The work done is given by the equation:
Work = Force x Distance
In this case, the force (F) is 30 kN and the distance (d) is 70 m.
However, we need to convert the force from kilonewtons (kN) to newtons (N) since the unit for work is in joules (J).
Therefore, 30 kN = 30,000 N.
Now we can calculate the work done:
Work = 30,000 N x 70 m
Work = 2,100,000 J
The time taken is given as 5 minutes.
To find the work done per minute, we divide the total work done by the time taken:
Work per min = Work / Time
Work per min = 2,100,000 J / 5 min
Work per min = 420,000 J/min
Therefore, the work done per minute is 420,000 joules per minute.