определить мощность электродвигателя приводящего в движение грузовой лифт, если его масса с грузом
800 кг, высота 10 м, время подъёма 2с, КПД 0,8Ответы на вопрос
Ответ:
P = Q*n/t = 0,8mgh/t = 0,8 * 800 * 10 * 10Вт/2 = 32000Вт
Ответ: 32000Вт
Calculating the Power of the Electric Motor for the Freight Elevator
To calculate the power of the electric motor driving the freight elevator, we can use the formula:
Power (P) = Work done / Time
Where: - Work done = Force × Distance - Force = Mass × Acceleration due to gravity - Distance = Height lifted - Time = Time taken for the lift
Given: - Mass of the elevator and cargo (m) = 800 kg - Height lifted (h) = 10 m - Time taken for the lift (t) = 2 s - Efficiency (η) = 0.8
First, we can calculate the work done, which is the force required to lift the elevator and cargo to the given height.
Calculating Force and Work Done
The force required to lift the elevator and cargo can be calculated using the formula:Force = Mass × Acceleration due to gravity
The acceleration due to gravity is approximately 9.8 m/s^2.
Force = 800 kg × 9.8 m/s^2
Now, we can calculate the work done using the formula:
Work done = Force × Distance
Work done = (800 kg × 9.8 m/s^2) × 10 m
Calculating Power
Now that we have the work done, we can calculate the power using the formula:Power (P) = Work done / Time
Power (P) = (800 kg × 9.8 m/s^2 × 10 m) / 2 s
Accounting for Efficiency
Finally, we need to account for the efficiency of the system. The actual power required from the motor is higher than the calculated power due to losses, and it can be calculated by dividing the calculated power by the efficiency.Actual Power = Power (P) / Efficiency
Actual Power = [(800 kg × 9.8 m/s^2 × 10 m) / 2 s] / 0.8
Result
The actual power of the electric motor required to drive the freight elevator is calculated to be approximately 3920 watts.
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