T00 u, N 8.6.E (a) Calculate the equilibrium temperature of a meteoroid of mass M, density p, and albedo A in the vicinity of the Earth. (b) Evaluate your result for a chondrite with M = 10° g, p = 2.5 g cm-3, and albedo A = 0.05 and for an achondrite with M = 10° g, p = 3 g cm¯³, and albedo A = 0.3. %3D
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- The following heat transfer formula quantifies the radiation emitted from the Sun: P = eoA(T4 – T?) Equation 5 where: P= radiated power (Watts) e = emissivity (=1 for ideal radiator; unitless) o = Stefan-Boltzmann constant = 5.67x10-8 W/m2-K+ A = radiating area (m²) T= temperature of radiator (Kelvin) Tc = temperature of surroundings (Kelvin) Q3 Using the following values, together with equation 5, calculate the power emitted by the Sun. sun's surface temperature = 5780 K temperature of the environment that the Sun is located in = 4 K emissivity of the Sun = 1 radius of the Sun = 695,700,000 m Stephen-Boltzmann constant o = 5.67 x 10-8 W/m2-K4 Show your work below-you may use the equation editor or insert a picture of your handwritten work.A hot steel plate with a surface area of 2.47 m2 and a constant surface temperature of 161°C is exposed to ambient air at 23°C. If the convection heat transfer coefficient is 18.2 W/m2· K, what is the rate of heat transfer (in W) from the plate to the air [round your final answer to zero decimal places]?For this problem, we want to estimate the answer, so our assumptions may be a little unrealistic. Suppose we want to estimate how much air we need to send to a space station, assuming we cannot recycle air. Suppose four astronauts are in a spherical space station. If each of them typically breathes about 500 cm³of air with each breathe, and take 15 breathes per minute (average resting value): a. What is the volume of air you would need in the space station if these four astronauts stayed for a full year? b. If the density of air is 1.25 kg/m³ and it costs (thanks to SpaceX) a mere $100/kg to send objects to the space station, how much money would the astronaut air supply cost?
- the average density of an atom is approximately 103 kg/m3. The nucleus of an atom has a radius about 10-5 times that of the entire atom, and contains nearly all the mass of the atom. What is the approximate density, in kilograms per cubic meter, of a nucleus?Compute the energy consumption in units of joules per year, gigawatts (GW), and watts per person as (a) fuel, (b) food, and (c) solar radiation for a country of population density 20 person/km2, an area of 1 million km2, and a fuel energy consumption rate of 250 GJ per person per year. Solar radiation reaching the ground is approximately 150 W/m2. The average person consumes food containing 2000 “calories” per day (1 calorie = 4182 J).An engineer who is working on the heat transfer analysis of a house in English units needs the convection heat transfer coefficient on the outer surface of the house. But the only value he can find from his handbooks is 22 W/m2·K, which is in SI units. The engineer does not have a direct conversion factor between the two unit systems for the convection heat transfer coefficient. Using the conversion factors between W and Btu/h, m and ft, and °C and °F, express the given convection heat transfer coefficient in Btu/h·ft2·°F.
- I need the answer as soon as possibleThe water depth in a harbour is 17.8 m at high tide and 10.2 m at low tide. One cycle takes 12.4 hours tocomplete. Determine a function, ?(?), that models the depth ? (in meters) of the water at time ? (in hours)with ? = 0 corresponding to low tideAn object has mass m, surface area A, temperature T, N molecules, and specific heat capacity c. The total thermal energy stored in the object is: Group of answer choices proportional to T^4 proportional to AT proportional to m proportional to cT proportional to NT
- 1. a. Derive the following expression for the fractional change in the speed of sound (dv/v) dv 1 dT related to a small change in temperature (dT): Start with the expression for the 2 T YRT M speed of sound related to temperature: v= where y is the ratio of heat capacities (a constant), R is the gas constant and M is the molar mass of the substance. Show enough steps (and words!) so that I can tell what you're doing. b. Use the red equation above to determine what the speed of sound in air at 21.0° C is, given that the speed of sound at 20.0° C is 344 m/s. Check your answer against any reference that has the speed of sound in air at different temperatures. Show your setup, and remember that the speed should not be terribly different! Hint: What temperature units should you be using?A hot tub with a surface area of 28 ft2 is filled with water to a depth of 29 in . Hint: volume is calculated as area × height (A × h). A) What is the volume of water in the tub, in liters? Express your answer to two significant figures and include the appropriate units. B) How many kilojoules are needed to heat the water from 59∘F to 103 ∘F? Express your answer to two significant figures and include the appropriate units. C) If the hot-tub heater provides 5900 kJ/min, how long, in hours, will it take to heat the water in the hot tub from 59∘F to 103∘F? Express your answer to two significant figures and include the appropriate units.A hot steel plate with a surface area of 2.17 m2 and a constant surface temperature of 165°C is exposed to ambient air at 24°C. If the convection heat transfer coefficient is 15.4 W/m2· K, what is the rate of heat transfer (in W) from the plate to the air [round your final answer to zero decimal places]?