A 1.5 m long aluminum rod must not stretch more than 1 mm and the normal stres hot exceed 40 MPa when the rod is subjected to a 3-kN axial load. Knowing that E= 70 GPa, determine the required diameter of the rod.
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- The pressure in solid copper of mass 100 kg is increased quasi-statically and isothermically at 0°C from 0 atm to 1000 atm (1 atm = 1.01325 x 10⁵ Pa). If you know that p = 8930 kg/m3 , k = 7.16 x 10^-12 Pa^-1, how many kJ of work will arise?A helium-filled toy balloon has a gauge pressure of 0.400 atm and a volume of 11.0 liters. How much greater is the internal energy (in J) of the helium in the balloon than it would be at zero gauge pressure?Long-term space missions require reclamation of the oxygen in the carbon dioxide exhaled by the crew. In one method of reclamation, 1.00 mol of carbon dioxide produces 1.00 mol of oxygen, with 1.00 mol of methane as a by-product. The methane is stored in a tank under pressure and is available to control the attitude of the spacecraft by controlled venting. A single astronaut exhales 1.13 kg of carbon dioxide each day. If the methane generated in the recycling of three astronauts' respiration during one week of flight is stored in an originally empty 120-L tank at -45.0°C, what is the final pressure in the tank? MPa Need Help? Read It
- Two evacuated bulbs are connected by a tube of negligible volume. The volume of one of the bulbs is twice that of the other. The larger volume bulb is placed in a 200K Isother constant-temperature bath and the other in a 300K bath, and then 1.00mol of an ideal me gas is injected into the system. Find the final number of moles of gas in each bulb.On a day that the temperature is 6.0°C, a concrete walk is poured in such a way that the ends of the walk are unable to move. Take Young's modulus for concrete to be 7.00 × 109 N/m² and the compressive strength to be 2.00 x 109 N/m². (The coefficient of linear expansion of concrete is 1.2 × 10-5 (°C-¹).) (a) What is the stress in the cement on a hot day of 49.0°C? N/m² (b) Does the concrete fracture? ○ Yes ○ NoIf the initial temperature of an ideal gas at 2.250 atm is 62.00 ˚C, what final temperature would cause the pressure to be reduced to 1.500 atm?