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An elevator weighing 6200 lb is pulled upward by a cable with an acceleration of 3.8 ft/s 2 . (a) What is the tension in the cable? (b) What is the tension when the elevator is accelerating downward at 3.8 ft/s 2 but is still moving upward?

An elevator weighing 6200 lb is pulled upward by a cable with an acceleration of 3.8 ft/s2. (a) What is the tension in the cable? (b) What is the tension when the elevator is accelerating downward at 3.8 ft/s2 but is still moving upward?

Grade:11

1 Answers

Kevin Nash
askIITians Faculty 332 Points
6 years ago
(a) The weight of the elevator in S.I units is:
234-2418_1.PNG
To calculate the mass of elevator divide the magnitude weight of the elevator by the magnitude of acceleration due to gravity,
234-921_1.PNG
Therefore the tension in the elevator when it is moving with upward acceleration is 30,836.2 N .
234-2004_1.PNG
Therefore the tension in the elevator when it is moving upward but with downward acceleration is 24,323.8 N .

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