How Do You Calculate Tension in a Descending Elevator?

[yosette_ledezma]

So I am really stuck on this physics problem, its an elevator that is accelerating downward at a constant acceleration and I need to find the Tension on the rope

T=?
m=2003kg
a=1.4m/s^2
g=-9.8

T+2003(-9.8)=2003(1.4)
T=22433.6
What am i doing wrong?

 

[mgb_phys]

If it is accelerating downwards, should the tension in the rope get more or less?
Hint - what would be the tension in the rope be if the elevator was free falling?

 

[m2003]

It seems like you have correctly set up the equation to solve for Tension. However, it is important to consider the direction of the forces involved. In this case, the tension force is acting upwards while the force of gravity is acting downwards. Therefore, the equation should be: T - 2003(9.8) = 2003(1.4). This will give you a tension force of 20506.2 N. Also, make sure to double check your units to ensure they are consistent. Keep up the good work!