A porcelain dinner plate is approximated as a thin flat disk with a diameter and

Question

A porcelain dinner plate is approximated as a thin flat disk with a diameter and thickness of 9.0 in and 0.20 in, respectively. The density of porcelain is = 144 lbm/ft3. The local gravitational acceleration is 3.71 m/s2 (we are on Mars!).

a) Find the plate’s mass in units of lbm (pound mass).

b) Determine the weight of the plate in units of N.

c) Given the number of significant figures in dimensions and density, what is the maximum plate mass in kg?

Note: Express both answers to two decimal places. (Ignore significant figures for now.)

Explanation / Answer

A)mass= volume* density

=3.14*4.5*4.5*0.20*144/(12" 12*12)

=1.05974986 pound

Nearly 1.06 lbm

B) mass in kg=1.05974986*0.454

Weight =m*acceleration=1.78497908

C) by significant digits

Mass=1.1pound ( as radius and width have 2 significant digit)

1.1*0.454

=0.50 kg (2 significant digits as 1.1 has 2 significant digit)

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