A mechanic uses a screw driver to install a 1⁄4-20 UNC bolt into a mechanical brace. What is the mechanical advantage of the system? What is

Question

A mechanic uses a screw driver to install a 1⁄4-20 UNC bolt into a mechanical brace. What is the mechanical advantage of the system? What is the resistance force if the effort force is 5 lb

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Lệ Thu 5 years 2021-08-18T21:12:06+00:00 1 Answers 50 views 0

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  1. Sigrid
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    2021-08-18T21:14:03+00:00
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    Answer:

    15.7 ; 78.5

    Explanation:

    Given that

    The mechanic use a screw driver to install 1⁄4-20 UNC bolt

    And, the effort force is 5lb

    We need to find out the mechanical advantage

    And, the resistance force

    As we know that

    The Mechanical advantage of a screw = Circumference ÷ pitch

    where,  

    Circumference = pi × d

     pi = 3.142, D = diameter

    So,  

    Circumference = 3.142 × (1 ÷ 4)

    = 0.785 in

    Now

    Pitch = 1 ÷ TPI

    Here TPI (thread per inch) = 20

    Pitch = 1 ÷  20 = 0.05

    So,

    Mechanical advantage = 0.785 ÷ 0.05

    = 15.7

    Now Resistance force if effort force is 5lb

    We know that

    Mechanical advantage = Fr ÷ Fe

    Here

    Fe = effort force, Fr = resistance force

    15.7 = Fr ÷ 5

    Fr = 15.7 × 5

    = 78.5 lbs

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