A thin-walled spherical tank has a diameter of 0.75 m and an inter-nal pressure of 20 MPa. The yield stress in tension is 920 MPa, the yield stress in shear is 475 MPa, and the factor of safety is 2.5. The modulus of elasticity is 210 GPa, Poisson’s ratio is 0.28, and maximum normal strain is 1220 3 1026. The minimum permissible thickness of the tank is approximately:



(A) 8.6 mm

(B) 9.9 mm

(C) 10.5 mm

(D) 11.1 mm


(C) 10.5 mm

Physics & Space Science

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a. 3.1 × 10^-19 J c. 1.7 × 10^-19 J b. 1.5 × 10^-19 J d. 3.3 × 10^-19 J

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Suppose 150 Joules of work is done on a system and that 300 Joules of heat are delivered to the system. Which of these is predicted by the first law of thermodynamics?

A. The internal energy U of the system increases by 450 J, since Q = +300 and W = -150 B. The internal energy U of the system increases by 150 J, since Q = +300 and W = +150 C. The internal energy U of the system decreases by 150 J, since Q = -300 and W = +150 D. The internal energy U of the system does not change

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Looking through your telescope tonight, you observe a distant galaxy called RXJ1800 and notice that it is very near in the sky to the bright star Vega. What can you conclude from this observation?

A) RXJ1800 and Vega will both set in the west at about the same time. B) Vega orbits the center of mass of RXJ1800. C) Vega and RXJ1800 must be no more than a few light-years apart. D) If you observe them again in a few nights, RXJ1800 and Vega will be farther apart than they appear tonight.

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A circuit consists of a 11.4-mH coil, a 19-? resistor, a 5.0-? resistor, a 10-V battery and a switch, all in series. What is the time constant of this circuit?

a. 2.1E–3 s b. 4.8E–3 s c. 2.9E–3 s d. 4.8E–4 s e. 4.2E–1 s

Physics & Space Science