Question

Транспортер поднимает 200 кг песка на автомашину за 1 c. Длина ленты транспортера 3 м, a угол наклона a=30градусов. КПД транспортера 0,85 Определите мощность, развиваемую электродвигателем.

Answer 1

Решение во вложении..!

Answer 2

Дано:

m=200кг

t=1c

a=3м

а=30гр

КПД=0,85=85%

N-?Bт

решение:

Из фоомулы для КПД: КПД=Апол/Азат*100%, где Апол=mgh, Азат=Nt, в результате чего получается: КПД=mgh/Nt*100%.

Так как угол в 30 гр, а катет, лежащий против угла в 30 гр равна половине гипотенузы:

т.е. это и есть та самая высота: h=3м/2=1,5м;

Теперь выражаем мощность из формулы КПД=mgh/Nt; N=mgh/КПДt=N=200кг*10м/с2**1,5м/0,85*1с=3000/0,85=посчитай плиз и все.

так наверное!!!

 

 

Answer 3

Calculation of Power Developed by the Electric Motor

To determine the power developed by the electric motor, we need to consider the weight of the sand being lifted, the length of the conveyor belt, the angle of inclination, and the efficiency of the conveyor.

Given information: - Weight of sand lifted: 200 kg - Length of the conveyor belt: 3 m - Angle of inclination: 30 degrees - Efficiency of the conveyor: 0.85

To calculate the power developed by the electric motor, we can use the formula:

Power = (Work Done) / (Time)

The work done can be calculated as the product of the force applied and the distance covered. In this case, the force applied is the weight of the sand lifted, and the distance covered is the length of the conveyor belt.

Work Done = Force x Distance

The force applied can be calculated as the product of the weight of the sand and the gravitational acceleration.

Force = Weight x Gravitational Acceleration

The gravitational acceleration is approximately 9.8 m/s^2.

Let's calculate the power developed by the electric motor step by step:

1. Calculate the force applied: - Force = Weight x Gravitational Acceleration - Force = 200 kg x 9.8 m/s^2

2. Calculate the work done: - Work Done = Force x Distance - Work Done = (200 kg x 9.8 m/s^2) x 3 m

3. Calculate the time taken: - Time = 1 second

4. Calculate the power developed: - Power = Work Done / Time - Power = [(200 kg x 9.8 m/s^2) x 3 m] / 1 s

Now, let's calculate the power developed by the electric motor using the given values:

Force = 200 kg x 9.8 m/s^2 = 1960 N

Work Done = (1960 N) x (3 m) = 5880 J

Power = (5880 J) / (1 s) = 5880 W

Therefore, the power developed by the electric motor is 5880 Watts.

Please note that the above calculation assumes ideal conditions and does not take into account any losses or inefficiencies in the system.