A tower crane lifts an object 40 m off the ground within 2 minutes.The weight of the object is 231 kN.Calculate the power of the tower crane in kilowatts.Power = _____ kW

To calculate the power of the tower crane, we need to use the formula for power which is work done divided by time taken.

First, we need to calculate the work done. Work done is equal to force times distance. In this case, the force is the weight of the object and the distance is the height the object is lifted.

The weight of the object is given as 231 kN, which is equivalent to 231,000 N (since 1 kN = 1000 N). The distance the object is lifted is 40 m.

So, the work done = force x distance = 231,000 N x 40 m = 9,240,000 Joules.

Next, we need to convert the time taken from minutes to seconds because the standard unit of time in these calculations is seconds. 2 minutes is equal to 120 seconds.

Now we can calculate the power. Power = work done / time taken = 9,240,000 Joules / 120 seconds = 77,000 Watts.

Since 1 kilowatt (kW) is equal to 1,000 Watts, we convert the power to kilowatts by dividing by 1,000.

Power = 77,000 Watts / 1,000 = 77 kW.

So, the power of the tower crane is 77 kW.