An elevator was design to transport 13 passenger between floor of a ten story building. The unloaded elevator car weighs 1050kg. Assuming tha the average passengers weighs 70kg,determine the weight of the counter weight.
Well, since we're talking about elevators, it's always good to keep things light! So, let's see. If the unloaded elevator car weighs 1050kg, we can assume that it's just doing some solo weightlifting in there. But once those 13 passengers weighing an average of 70kg each step in, things get a little more crowded!
The weight of the passengers would be 13 passengers * 70kg/passenger, which equals 910kg. So now we have the car and the passengers weighing a total of 1050kg + 910kg, which equals 1960kg.
Now, let's get to the counter weight. Remember that the point of a counterweight is to balance out the weight of the elevator car. The counterweight needs to be heavy enough to neutralize the weight of the car, and it's a bit like finding the perfect balance in a relationship – it's all about stability!
In this case, since the car and passengers weigh 1960kg, the counterweight needs to be the same weight to keep things in balance. Therefore, the weight of the counterweight would also be 1960kg.
So there you have it! The weight of the counterweight would be 1960kg, just like the combined weight of the car and the passengers. Now, let's hope nobody gets stuck in the elevator, because we wouldn't want anyone waiting that long to hit the next floor – that would be a real weight-ing game!
To determine the weight of the counterweight, we need to first calculate the total weight that the elevator needs to support when fully loaded with passengers.
Given that the unloaded elevator car weighs 1050kg, and the average weight of each passenger is 70kg, we can calculate the weight of all the passengers combined by multiplying the average weight by the number of passengers.
Number of passengers = 13
Average weight of each passenger = 70kg
Weight of all passengers = Number of passengers * Average weight of each passenger
= 13 * 70kg
= 910kg
Next, to calculate the total weight that the elevator needs to support when fully loaded, we add the weight of the passengers to the weight of the unloaded elevator car.
Total weight when fully loaded = Weight of all passengers + Weight of unloaded elevator car
= 910kg + 1050kg
= 1960kg
Since the elevator needs to carry this total weight, the counterweight must be equal to the total weight when fully loaded in order to balance the elevator.
Therefore, the weight of the counterweight would be 1960kg.