Ask Question
16 August, 08:46

The drag force F on a boat varies jointly with the wet surface area A f the boat and the square of the speed s of the boat. A boat with a wet surface area of 50 ft^2 7 mph traveling atexperiences a drag force of 98n Find the speed of a boat experiencing a drag force of 135 nand having a wet surface area of 60ft^2.

+4
Answers (1)
  1. 16 August, 08:52
    0
    Answer: S = 237.2 mph

    Step-by-step explanation:

    Given that the drag force F on a boat varies jointly with the wet surface area A of the boat and the square of the speed s of the boat.

    That is. F = KAS^2

    Where

    F = drag force

    K = proportionality constant

    S = speed

    A boat with a wet surface area of 50 ft^2 traveling at 7 mph experiences a drag force of 98N

    1 square foot = 3.587*10^-8 square mile

    A = 50 * 3.587*10^-8

    A = 1.7935*10^-6

    Using the derived formula

    F = KAS^2

    98 = K * 1.7935*10^-6 * 7^2

    98 = 8.788x10^-5K

    K = 1115.14

    To Find the speed of a boat experiencing a drag force of 135 N and having a wet surface area of 60ft^2. We will use the same formula

    A = 60 * 3.587*10^-8

    A = 2.1522*10^-6

    F = KAS^2

    135 = 1115.14 * 2.1522*10^-6 * S^2

    S^2 = 56249.9

    S = 237.2 mph
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The drag force F on a boat varies jointly with the wet surface area A f the boat and the square of the speed s of the boat. A boat with a ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers