gm (e/m)t C) The velocity of a falling parachutist is given by v="-etelm ], where g= 9.8 m/s. For a parachutist with a drag coefficient C=14.75 kg/s, compute the mass (m) so that the velocity is v = 40 m/s at t- 10 s by two iterations of the False-Position Method, with initial guesses [65 - 80]. 1. m 68.1 2. m 75.7 3. m 77.3 4. m= 69.25
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- The friction in flows through the pipe is defined by a dimensionless number called the fanning friction factor (f). The Fanning friction factor is represented by another dimensionless number, the Reynolds number (Re).It depends on the diameter of the pipe and some parameters related to the fluid. An equation that can predict f given the Reynolds number is given as follows. If Re =4000, e/D=0.01 in this equation, find the value of f using the Simple Iteration method by taking f0=0.1 as the initial value for the solution (ԑ=0.0001)Use dimentional analysis to evaluate that in a problem involving shallow water waves (figure 6), both the Froude number and the Reynold's number are relevant dimensionless parameters. The wave speed, c of waves on the surface of a liquid is a function of depth h, gravitational acceleration g, fluid density, p and fluid viscosity μ. Manipulate your II's to get the parameters into the following form: Fr = c/(gh)1/2= f(Re) , where Re = pch/μThe amount of time it takes for a pendulum to swing “to-and-fro” through one complete cycle is called the “period” and is calculated using the following equation: where T = period in seconds, I = mass moment of inertia, m = mass of pendulum in kilograms g = gravitational acceleration, 9.8 m/s2, h = effective length of pendulum in meters What is the appropriate unit for I if the preceding equation is to be homogeneous in units? Please show all of your work.
- The friction force F on a smooth sphere falling in water depends on the sphere speed V, the sphere density ρ_s and diameter D_s, the density ρ and dynamic viscosity μ of the water, gravitational acceleration g. Choose the correct repeating variables. sphere diameter, dynamic viscosity, gravitational acceleration density, gravitational acceleration, dynamic viscosity friction force, gravitational acceleration, density density, sphere speed, sphere diameter friction force, sphere speed, sphere diameter1. Circle weather the following statements are true or false. If the statement is true justify your reasoning if the statement is false correct the statement to make it true or justify why it is false a. Impulse is the integral of a force vs distance graph b. In two dimensions analyzing linear and angular momentum provides up to three scalar equations. c. Linear acceleration and angular acceleration both have units of ft/s^2 or m/s^2 d. When absolute motion or a rigid body it is important to find a function that relates linear and angular position then integrate to find velocity e. Instantaneous centers can only be determined for velocity and only for a snapshot in timeFor the Following question Graph all 4 : [I just need all 4 graphs and please explain and make clean solution] Position vs time Velocity vs time Acceleration vs time Force vs time [For your convenience, I have solved the numerical solutions for the problem] (Please Look at the picture since it is much cleaner) Question : A 550 kilogram mass initially at rest acted upon by a force of F(t) = 50et Newtons. What are the acceleration, speed, and displacement of the mass at t = 4 second ? a =(50 e^t)/(550 ) [N/kg] v = ∫_0^t▒(50 e^t )dt/(550 )= v_0 +(50 e^t-50)/550=((e^t- 1))/11 x = ∫_0^t▒(e^t- 1)dt/(11 )= x_0 +(e^t- t - 1)/(11 ) a(4s)=(50*54.6)/550= 4.96[m/s^2 ] v(4s)=((e^4-1))/11= 4.87[m/s] x(4s)=((e^4- 4 - 1))/11= 4.51 [m]
- The drag on an airplane wing in flight is known to be a function of the density of air (), the viscosity of air(), the free-stream velocity (U), a characteristic dimension of the wing (s), and the shear stress on the surface of the wing (s). Show that the dimensionless drag, sU2, can be expressed as a function of the Reynolds number, Us.5.19 Suppose that the graph below shows measured values of for air in forced convection over a cylinder of diameter D. plotted on a logarithmic graph of as a function of ReD Pr. Write an appropriate dimensionless correlation for the average Nusselt number for these data and state any limitations to your equation.Engineering Economy A company has determined the price and the monthly demand of its products are related by the equation D = √775 - p, where p is the price per unit in dollar and D, is the monthly demand. The associated fixed costs are $2,125 per month and the variable costs are $100/ unit. Use this information to answer the following: a)What is the optimal number of units that should be produced and sold each month? b) What is the maximum profit? c)Determine the value of D that represents the break-even point?
- Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) f(x, y) = 9 sin(x) sin(y), −? < x < ?, −? < y < ? local maximum value(s) local minimum value(s) saddle point(s) (x, y) =The displacement of the apex of a sail mast is calculated by the following equation is given. In this equation, F = side wind load (lb/ft), L = height (ft), E=modulus of elasticity (lb/ft2 ) and I=moment of inertia(ft4 ). Using the data below Estimate the error for the variable y function? (Six digits after the comma in your transactions take it)Study the table to the right and then answer these questions by filling in the blank columns in the table.1. Convert the miles per gallon figures in the table tokilometers per liter (kpl).2. How many liters (and how many gallons) of gasolinewould each type of car use annually if it were driven19,300 kilometers (12,000 miles) per year?3. How many kilograms (and how many pounds) of carbon dioxide would be released into the atmosphereannually by each car, based on the fuel consumptioncalculated in question 2? Assume that the combustion of gasoline releases 2.3 kilograms of CO2 per liter(19 pounds per gallon).