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.
Similar Questions
Force = 1000 NDistance = 170 mTime = 50 secondsCalculate the power in kilowatts.Power = _____ kW
Force = 2560 NDistance = 0.6 kmTime = 8 minutesCalculate the power in kilowatts.Power = _____ kW
A forklift uses 5200 J of energy to lift a 50.0 kg mass to a height of 4.0 m at a constantspeed. What is the efficiency of the forklift?
16. Calculate the time it takes a 0.5 kW appliance to transfer 1.3 kJ of energy (1dp)
A vacuum cleaner transfers 90 000 J of energy.Calculate the power of the vacuum cleaner when used for 10 minutes.150900 000 W9 0009000 W150 W
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.