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Chapter 1: Problem 6

Express a \(100 \mathrm{~kg}\) mass in units of slugs, blobs, and \(\mathrm{lb}_{\mathrm{m}}\). How much does this mass weigh in \(\mathrm{lb}_{\mathrm{f}}\) and in \(\mathrm{N}\) ?

Short Answer

Expert verified
The mass of 100 kg approximately equals 6.85 slugs, 40.30 blobs, 220.46 \(lb_m\). It weighs around 7092.18 \(lb_f\) and 981 N.

Step by step solution

01

Convert kilograms to slugs

Use the conversion factor \(1 slug \approx 14.59 kg\). Thus, to convert, divide 100 kg by this factor: \(mass_{slugs} = \frac{100kg}{14.59 kg/slug} \approx 6.85 slugs\).
02

Convert kilograms to blobs

The conversion factor is \(1 blob \approx 2.480160142 kg\). Divide 100 kg by this factor: \(mass_{blobs} = \frac{100kg}{2.480160142 kg/blob} \approx 40.30 blobs\).
03

Convert kilograms to pound-mass (\(lb_m\))

Use the conversion factor \(1 kg \approx 2.20462 lb_m\). Multiply 100 kg by this factor to get: \(mass_{lb_m} = 100kg * 2.20462 lb_m/kg \approx 220.46 lb_m\).
04

Convert mass to weight in pound-force (\(lb_f\))

Mass in pounds must be multiplied by the gravitational constant, \(g = 32.174 \, ft/s^2\). Hence, \(weight_{lb_f} = 220.46lb_m * 32.174 ft/s^2 \approx 7092.18 lb_f\).
05

Convert mass to weight in Newtons (N)

To convert from kilograms to Newtons, multiply the mass by the acceleration due to gravity (\(9.81 m/s^2\)): \(weight_N = 100kg * 9.81 N/kg = 981 N\).

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Most popular questions from this chapter

A \(250-\mathrm{lb}_{\mathrm{m}}\) mass is accelerated at \(40 \mathrm{in} / \mathrm{sec}^{2}\). Find the force in \(\mathrm{lb}\) needed for this acceleration.

Convert a mass of \(1000 \mathrm{lb}_{\mathrm{m}}\) to (a) \(\mathrm{lb}_{\mathrm{f}}\), (b) slugs, (c) blobs, (d) \(\mathrm{kg}\).
See all solutions

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