Calculating Tension in Two Ropes

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SUMMARY

The discussion focuses on calculating the tension in two ropes supporting a 250 kg weight, with angles of 30.0 degrees and 60.0 degrees above the horizontal. The correct tensions are 1420 N and 2470 N, as indicated in the answer sheet. The discrepancy in calculations may arise from using different gravitational constants, such as g = 10 m/s², or from rounding approximations. The method employed by the user is validated as correct, emphasizing the importance of consistent values in physics calculations.

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  • Knowledge of trigonometry, specifically sine and cosine functions.
  • Familiarity with gravitational acceleration values, particularly g = 9.81 m/s² and g = 10 m/s².
  • Ability to perform vector resolution of forces.
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Homework Statement



A 2.50X102Kg weight is suspended from two ropes that are angled at 30.0degrees and 60.0 degrees above horizontal. What is the tension in the two ropes?

The work i did is in the attachements .. The answer sheet says the answer of the two forces is 1420 N and 2470 N i can't seem to match those answers =( please tell me where i went wrong
 

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In this question you have got a lot of calculations. Maybe the answer sheet has shown answers with g = 10 and some other approximations. Also the answers like 1420 N and 2470 N suggests this . Your method is correct.:approve:
 

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