An empty lift has a weight of 4.1 kN.It takes half a minute to travel 150 m.Calculate the power of the lift in kilowatts.Power = _____ kW
Question
An empty lift has a weight of 4.1 kN.It takes half a minute to travel 150 m.Calculate the power of the lift in kilowatts.Power = _____ kW
Solution
To calculate the power of the lift, we first need to calculate the work done, and then divide it by the time taken.
Step 1: Calculate the work done Work done is given by the formula: Work = Force x Distance Here, the force is the weight of the lift and the distance is the height it travels.
Force = Weight = 4.1 kN = 4100 N (since 1 kN = 1000 N) Distance = 150 m
So, Work = 4100 N x 150 m = 615,000 Joules
Step 2: Calculate the power Power is given by the formula: Power = Work / Time Here, the work is what we calculated in the previous step and the time is given as half a minute, which is 30 seconds (since 1 minute = 60 seconds).
So, Power = 615,000 Joules / 30 seconds = 20,500 Watts
Step 3: Convert power to kilowatts 1 kilowatt = 1000 watts
So, Power = 20,500 Watts = 20.5 kW
Therefore, the power of the lift is 20.5 kW.
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