An electric hoist lifted a load with a mass of 250kg to a height of 80m in 39s , Calculate
Frank Steelman
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To calculate the work done by the electric hoist, we use the formula:
Work = Force × Distance
In this case, the force is equal to the weight of the load, and the distance is equal to the height it was lifted.
The weight of the load (force) can be calculated using the formula:
Weight = Mass × Gravity
where the mass is given as 250 kg and the acceleration due to gravity is approximately 9.8 m/s^2.
Weight = 250 kg × 9.8 m/s^2 = 2450 N
The work done by the hoist is:
Work = 2450 N × 80 m = 196,000 J (Joules)
To calculate the power (P) required to perform this work in a given time, we use the formula:
Power = Work / Time
The time given is 39 seconds.
Power = 196,000 J / 39 s = 5,025.64 W (Watts) or approximately 5.03 kW (kilowatts)
To calculate the work done by the electric hoist, we need to use the formula:
Work = Force × Distance
Where:
- Work is the energy transferred to lift the load (measured in joules).
- Force is the force exerted by the electric hoist (measured in newtons).
- Distance is the height the load was lifted (measured in meters).
First, we need to calculate the force exerted by the electric hoist. Force can be calculated using the formula:
Force = Mass × Acceleration due to gravity
Where:
- Mass is the mass of the load (measured in kilograms).
- Acceleration due to gravity is the acceleration caused by gravity, approximately equal to 9.8 m/s^2.
Force = 250 kg × 9.8 m/s^2 = 2450 N
Next, we can use the force calculated and the distance the load was lifted to find the work done:
Work = Force × Distance = 2450 N × 80 m = 196,000 J
Therefore, the work done by the electric hoist to lift the load is 196,000 joules.