A poundal is the force required to accelerate a mass of 1 lbm at a rate of 1 ft/s2 , and a slug is the mass of an object that will accelerat

Question

A poundal is the force required to accelerate a mass of 1 lbm at a rate of 1 ft/s2 , and a slug is the mass of an object that will accelerate at a rate of 1 ft/s2 when subjected to a force of 1 lbf. (a) Calculate the mass in slugs and the weight in poundals of a 135 lbm woman (i) on earth and (ii) on the moon, where the acceleration of gravity is one-sixth of its value on earth. (b) A force of 405 poundals is exerted on a 35.0-slug object. At what rate (m/s2 ) does the object accelerate?

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Vodka 4 years 2021-08-02T19:29:36+00:00 1 Answers 240 views 1

Answers ( )

  1. minhkhoi
    0
    2021-08-02T19:30:37+00:00
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    Answer:

    We are given that

    The

    Mass of person = 135lbm

    Weight of person on earth will be

    = mass x gravity constant

    = 135lbm x 32.174 ft/s2

    =4343.49 lbm-ft/s2 x 1 poundal-s2/lbm-ft

    = 4343.49 poundal

    Again we are given that

    Mass of person = 135 lbm

    But here remember Mass remains the same

    So

    Weight of person on moon will be

    mass x gravity constant on moon

    = 135 lbm x 32.174 ft/s2 x 1/6

    = 723.9 lbm-ft/s2 x 1 poundal-s2/lbm-ft

    = 723.9poundal

    But we know that

    1 ft slug / lbf-s2 = 32.174 ft lbm/ lbf-s2

    So

    1 slug = 32.174 lbm

    So then the Mass of person

    = 135lbm x 1slug/32.174 lbm

    =4.2slugs

    So finally

    Weight = 405 poundals is same as

    405 lbm-ft/s2

    So

    Mass = 35 slug x 32.174 lbm/slug = 1126.09 lbm

    Acceleration rate = weight /mass

    = (405 lbm-ft/s2) / (1126.09 lbm)

    = 0.3597ft/s2 x 0.305m/ft

    = 1.179 m/s²

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