Given max tension, find max upward acceleration

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SUMMARY

The maximum upward acceleration of an elevator with a mass of 1600 kg and cables that can withstand a maximum tension of 24000 N is calculated to be 5.2 m/s². This is derived using the formula a = (T/m) - g, where T is the maximum tension, m is the mass of the elevator, and g is the acceleration due to gravity (9.8 m/s²). The calculation confirms that the upward acceleration does not exceed the limits set by the cable's maximum tension.

PREREQUISITES
  • Understanding of Newton's second law (F = ma)
  • Basic knowledge of forces and tension in physics
  • Familiarity with gravitational acceleration (9.8 m/s²)
  • Ability to perform unit conversions and calculations
NEXT STEPS
  • Study the implications of tension in different mechanical systems
  • Learn about the effects of mass and acceleration on force calculations
  • Explore advanced topics in dynamics, such as free body diagrams
  • Investigate safety factors in engineering design for lifting systems
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Physics students, mechanical engineers, and anyone involved in the design and analysis of lifting systems, such as elevators.

bigman8424
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a elevator with very worn cables has mass of 1600 kb, cables can withstand max tension of 24000 N, what is max upward acceleration if the cables are not to break

please confirm my answer to be amax = 24000/16000 -9.8 = 5.2 m/s2
 
Last edited:
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bigman8424 said:
a elevator with very worn cables has mass of 1600 kb, cables can withstand max tension of 24000 N, what is max upward acceleration if the cables are not to break

start this problem with Ef = ma?

Show us your attempt to solve this problem.
 
please confirm 24000/16000 -9.8 = 5.2 m/s2

please confirm 24000/16000 -9.8 = 5.2 m/s2
 
bigman8424 said:
please confirm 24000/16000 -9.8 = 5.2 m/s2

Too many zeros in 16000, but the result is OK. It's better to write your exponents as s^2 rather than s2. It's even better to use the built in LaTex and keep track of units to write

a = \frac{24000N}{1600kg} - g = 5.2 m/s^2
 

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