![]() ![]() When Scotland’s Battlefield Band played in Utah, one musician remarked that the high altitude threw their bagpipes out of tune.The formula to find a Celsius temperature from Fahrenheit is: F (C × 9/5) + 32 The formula to find a Fahrenheit temperature from Celsius is: F (C × 9/5) + 32 The two temperature scales are equal at -40. Evaluate the speed of sound numerically for air at room temperature. Celsius and Fahrenheit are two important temperature scales that are commonly misspelled as Celcius and Farenheit. Compare your result to the formula for the RMS speed of the molecules in the gas. Derive an expression for the speed of sound in an ideal gas, in terms of its temperature and average molecular mass.Argue that for purposes of computing the speed of a sound wave, the adiabatic B is the one we should use. ![]() Compute the bulk modulus of an ideal gas, in terms of its pressure P, for both isothermal and adiabatic compressions.Here, f is the value in degrees Fahrenheit, c the value in degrees Celsius, and k the value in kelvins: f ☏ to c ☌: c f 32 / 1.8 c ☌ to f ☏: f c × 1.8 + 32 f ☏ to k K: k f. This definition is still ambiguous, however, because I haven't said whether the compression is to take place isothermally or adiabatically (or in some other way). For an exact conversion between degrees Fahrenheit and Celsius, and kelvins of a specific temperature point, the following formulas can be applied. Where ρ is the density of the medium (mass per unit volume) and B is the bulk modulus, a measure of the medium’s stiffness? More precisely, if we imagine applying an increase in pressure Δ P to a chunk of the material, and this increase results in a (negative) change in volume Δ V, then B is defined as the change in pressure divided by the magnitude of the fractional change in volume: By applying Newton’s laws to the oscillations of a continuous medium, one can show that the speed of a sound wave is given by ![]()
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