Question

You are designing a high-speed elevator for a new skyscraper. The elevator will have a mass limit of 2400 kg (including passengers). For passenger comfort, you choose the maximum ascent speed to be 18.0 m/s, the maximum descent speed to be 10.0 m/s, and the maximum acceleration magnitude to be 3.30 m/s^2. Ignore friction. What is the maximum upward force that the supporting cables exert on the elevator car?

Answer 1

31,400 N

Step-by-step explanation:

The maximum upward force occurs when the elevator is accelerating upwards.

Using Newton's second law:

∑F = ma

T − mg = ma

T − (2400 kg) (9.8 m/s²) = (2400 kg) (3.30 m/s²)

T = 31,400 N