A box is suspended by two ropes as shown below.The scales read FL = 425 N and FR
ID: 2232379 • Letter: A
Question
A box is suspended by two ropes as shown below.The scales read FL = 425 N and FR = 601 N.
1) Determine the weight of the box, in N.
2) The problem is, no scale is perfect. Let's assume for the time being that the angles are quite accurate, but you know based on your past experience that these scales can be off by as much as 1 N. This uncertainty propagates through any calculation that involves the measured quantities. By how much (in N) could your estimation of the weight of the box be off? Hint: The easiest way to do this is by finding the highest and smallest possible values of the weight that can result from the range of values of the measured forces.
3) The protractor also has a limited precision, so there is always some uncertainty in the angle readings. This uncertainty will also propagate through the calculation of the weight, just like the uncertainty in the force readings does. The relationship between weight and the angles is not linear, though, so the propagation is not as straightforward.The easiest way to proceed is by looking at the highest and lowest values of the calculated quantity. Example: In a given experiment, a force is measured to be (483
Explanation / Answer
(2) 824N 1) 827
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