High School

One of the fastest elevators in the world is found in the Taipei 101 building. It ascends at 16.83 m/s and rises 382.2 m. Each elevator has a maximum load capacity of 1600 kg. What power \( P \) is required to raise a load of 1260 kg from the lowest level to the top floor?

Answer :

the power required to raise a load of 1260 kg from the lowest level to the top floor is approximately 207926.04 Watts (W).

To calculate the power required to raise a load in an elevator, we can use the formula:

P = F * v

where P is the power, F is the force applied, and v is the velocity.

Given:

Velocity, v = 16.83 m/s

Height, h = 382.2 m

Mass of the load, m = 1260 kg

To calculate the force, we need to consider the weight of the load:

Weight, W = m * g

where g is the acceleration due to gravity, which is approximately 9.8 m/s^2.

Weight, W = (1260 kg) * (9.8 m/s^2) = 12348 N

The force applied is equal to the weight, since we are raising the load vertically against gravity.

Force, F = 12348 N

Now we can calculate the power:

P = F * v = (12348 N) * (16.83 m/s) = 207926.04 W

To know more about acceleration visit:

brainly.com/question/2303856

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