Physics Answers

The equation of a transverse sinusoidal wave is given by: y = 2x10^-3 sin (18x - 600t +30⁰) m. Find the:

(a) amplitude of the wave

(b) the wavelength

(c) the frequency

(d) the wave speed, and

(e) the displacement at position 0m and time 0s

(f) the maximum transverse particle speed.​

You are camping with two friends, Pal and Mer. Since all three of you like your privacy, you don’t pitch your tents close together. Pal’s tent is 30m from yours, in the direction 30o south of east. Mer’s tent is 50m from yours, in the direction 40o north of east. What is the distance between Pal’s tent and Mer’s tent? 

 Three horizontal ropes pull on a large stones stack in the ground, producing the vector forces A, B & C. Find the magnitude and direction of a fourth force on the stone that will make the vector sum of the four forces zero.

A = 150N 40o North of East

B = 90N 40o West of North

C = 50N 63o South of West 

1m3 of aluminum has a mass of 4x106 gram and 1m3 of iron has a mass of 10x106 gram. Find the radius of a solid aluminum sphere in meter that will balance a solid iron sphere of radius 4cm on an equal arm balance.

A bird is flying with a speed of 16.8 m/s over water when it accidentally drops a 2.50 kg fish.

The acceleration of gravity is 9.81 m/s2 .

If the altitude of the bird is 6.20 m and air resistance is disregarded, what is the speed of the fish when it hits the water?

Answer in units of m/s.

A gas turbine receives 1 lb/sec air at 300 atm, 450°R and expands it reversibly to 30 atm in an adiabatic steady flow manner; ∆P = 0; ∆K = 0. (a) Use the deviation charts and find the exit air temperature and the work. (b) Solve using ideal gas theory and compare with foregoing answers.

A gas turbine receives 1 lb/sec air at 300 atm, 450°R and expands it reversibly to 30 atm in an adiabatic steady flow manner; AP = 0; AK = 0. (a) Use the deviation charts and find the exit air temperature and the work. (b) Solve using ideal gas theory and compare with foregoing answers.

Oxygen initially at 1000psia and 0.4 ft³/lb undergoes an isothermal process to P2 = 200psia. If the process is steady flow with AK = -2 Btu/lb and performs ac cording to the Berthelot equation, determine a, b, -f v dp, and the work W. The mass flow rate is 16 lb/sec.

Methane at 600 psia, 100°F, is flowing in a pipe line at the rate of 10,000 cfm. Determine the mass flow rate using (a) ideal gas theory, (b) compressibility factor, (c) Redlich-Kwong equation.

Superheated vapor tables show that at 5500 psia, 1200°F the density of water vapor is 6.6 lb/ft³. Determine the percentage error involved if the density is calculated by using (a) the modified reduced van der Waals equation, (b) the ideal gas theory.