Question

A rope has a density and thickness such that a 3.25 cm long segment of it weighs 61.40 g. there are 28.3495 g in an ounce and 2.54 cm in an inch. how many ounces would a 19.45 inch length of the same Rope weigh?

Answer 1

To find the weight of a 19.45 inch length of the rope, we can use the provided information. By converting the length to centimeters and setting up a proportion, we can calculate the weight of the 19.45 inch length. The weight is 32.77 ounces.

Step-by-step explanation:

To find the weight of a 19.45 inch length of the same rope, we can use the information provided. We know that a 3.25 cm long segment of the rope weighs 61.40 g. We can calculate the weight of the 19.45 inch length using the following steps:

1. Convert the 19.45 inches to centimeters using the conversion factor: 1 inch = 2.54 cm. 19.45 inches = 19.45 x 2.54 cm = 49.305 cm.
2. Now we can set up a proportion to find the weight. We know that the weight of the 3.25 cm length is 61.40 g, so:

Weight of the 19.45 inch length / Weight of the 3.25 cm length = Length of the 19.45 inch length / Length of the 3.25 cm length

Solving for the weight of the 19.45 inch length, we get:

Weight of the 19.45 inch length = (61.40 g x Length of the 19.45 inch length) / Length of the 3.25 cm length

Plugging in the values, we get:

Weight of the 19.45 inch length = (61.40 g x 49.305 cm) / 3.25 cm = 930.36 g

Now we can convert the weight to ounces. Using the conversion factor: 1 ounce = 28.3495 g, we can calculate the weight in ounces:

Weight of the 19.45 inch length in ounces = 930.36 g / 28.3495 g = 32.77 oz