Given max tension, find max upward acceleration

AI Thread Summary
The discussion revolves around calculating the maximum upward acceleration of an elevator with a mass of 1600 kg and cables that can withstand a maximum tension of 24000 N. The formula used is a = T/m - g, where T is the tension, m is the mass, and g is the acceleration due to gravity. The correct calculation confirms that the maximum upward acceleration is 5.2 m/s². Participants emphasize the importance of proper notation and unit tracking in physics problems. The final consensus validates the calculation while suggesting improvements in presentation.
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
 
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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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