nvestigate with dimensional analysis, is this equation true t = [ 2x / a ]1/2 B. Express 0.00034 m in microns C. Express 8.31 x 1014 seconds in pico seconds
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Please solve the sub parts A,B,C with the step.. The all part same the chapter thank u
A. Investigate with dimensional analysis, is this equation true
t = [ 2x / a ]1/2
B. Express 0.00034 m in microns
C. Express 8.31 x 1014 seconds in pico seconds
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- Check the following equation for dimensional homogeneity: mu = (Fcos) at where m is mass, v is velocity, F is force, is an angle, and it is time. Check that each term in the equation has the following dimensions: [MOLT] where you are to choose the coefficients a, b, c. Answers: b= C= i iCheck the following equation for dimensional homogeneity: mv = = 1.5² (Fcose) dt where m is mass, v is velocity, F is force, is an angle, and t is time. Check that each term in the equation has the following dimensions: [MªLbTC] where you are to choose the coefficients a, b, c. Answers: a = i b = i C=Thermal conductivity k is a measure of the ability of a material to conduct heat. For conduction heat transfer in the x-direction through a surface normal to the x-direction, Fourier’s law of heat conduction is expressed as: Q=-kA.dT/dx where ?̇ is the rate of heat transfer and A is the area normal to the direction of heat transfer. Determine the primary dimensions of thermal conductivity (k). Look up a value of k and verify that its SI units are consistent with your result. Write a set of primary SI units for k.
- Check the following equation for dimensional homogeneity: mv = [₁² ( (Fcose) dt where m is mass, v is velocity, F is force, 0 is an angle, and t is time. Check that each term in the equation has the following dimensions: [MªLºTc] where you are to choose the coefficients a, b, c. Answers: a = i b= i C = iEx5: If P is pressure, v a velocity and p a fluid density, what are the dimensions (in MLT) systemThe dynamic coefficient of viscosity m (viscosity of a fluid) is from, where v= velocity, d = distance, F = Force and A = area. Find the dimensions of m.
- If the following equation is dimensionally homogeneous, find the dimensions of the physical quantity K indicated in the system of fundamental physical quantities: Length, Mass and Time. Ep -G Mm K where Ep is the gravitational potential energy (same units as the kinetic energy E mv²/2), M and m are the mass of the earth and the mass of the body, respectively, and G is the universal gravitation constant G~ 6,67 x 10-11 N m² kg². I am planning to perform some volume-flow rate measurements in the Fluid Mechanics Laboratory. For this, I need a volumetric measuring tank (graduated cylinder) and a stopwatch. I considered the volume of the measured tank as 15 gallons and a stopwatch with reaction time as 1/10th of a second (though resolution of 1/1000th of a second). What is the volume flow rate if it takes 5 minutes to fill a 15-gallon of tank? Determine the smallest division to be on the tank in order to estimate the volume flow rate within an accuracy of ± 0.05 gpm.Time left 1:5 An ideal gas has its pressure (1.8) times and mass density (2.2) times increased. If the initial temperature is 265.4 °C, what is the final temperature in °C, and use one number after the decimal (xxx.x)? Answer: NEXT PAGE pe here to search DELL
- 1:54 3.11 A satellite in earth orbit has perigee and apogee radii ofr, = 7500km and r, = 16,000 km, respectively. Find its true anomaly 40 min after passing the true anomaly of 80°. (Ans.: 174.7°)Cold water enters a pipe, where it is heated by an external heat source . The inlet and outlet water temperatures are Tin and Tout, respectively. The total rate of heat transfer Q. from the surroundings into the water in the pipe is Q. = m·cp(Tout − Tin) where m . is the mass flow rate of water through the pipe, and cp is the specific heat of the water. Write the primary dimensions of each additive term in the equation, and verify that the equation is dimensionally homogeneous. Show all your work.Three students at NUST derive the following equations in which x refers to distance traveled, v the speed, a the acceleration (m/s2), and t the time, and the subscript (0) means a quantity at time t=0: (i) x=vt2+2at, (ii) x= v0t +at2 (iii) x=v0t +2at2 Which of these could be possibly be correct according to a dimensional check?