Here R is the sphere's radius, p is the density of air, v is the velocity, and C is the called co...
Please help with Q1 a)b)c). Question 1: In the lectures we considered simple projectile motion. Here we extend the description to include air resistance. For macroscopic objects in air, the dynamics equations including air resistance may be written V and ^- where m is the mass of the object, g is the acceleration due to gravity, y is the vertical direction, C is a dimensionless drag coefficient, A is the cross-sectional area of the object, pa 1.2kg/m3 is the density...
10.13. The shear stress, Tw, on a flat surface that is caused by a fluid of density p and vis- cosity u flowing over the surface at a velocity V is given by where Re,- V Re where r is the distance from the upstream end of the flat surface. (a) Use the given shear stress distribution, w(x), to determine the drag force on a flat plate of width W and length L in terms of W, L, V, p,...
Problem No-3: Air at 20 c(p-1.21kg/mH-38x107 kg.m/s) and with a free stream velocity o 40 m/s flows past a smooth thin plate which is 3-m wide and 10-m long in the flow direction. turbulent boundary layer from the leading edge determine: (a) the boundary layer thickness 6 m from the leading edge (b) the drag coefficient and drag force exerted by the fluid on the thin plate Take density 1.2 kg/m3 and kinematic viscosity as 1.49 x 10-s m'/s: (12p)...
A Pendulum with air resistance Pendula are widely used in applications including accelerometers and seismometers and are a model system to study vibrations and damping. Consider a pendulum comprising a small mass m that is connected by a thin massless rod of length l to a hinged support The hinge is frictionless but the mass experiences air resistance as it swings. The air drag force on the mass is Fdrag-kv |v, where v is the velocity of the mass and...
Air at T=25°C and pressure P=1 bar flows over a square plate with a velocity V=1 m/s. This plate has a length L= 1 m and it is heated over its entire length; the plate temperature is constant Tp=100°C. The following data are given. For air: dynamic viscosity: mu = 1.9*10–5 kg/(m.s); density: rho = 1.05 kg/m3; conductivity k = 0.03 W/(m K); Specific heat Cp = 1.007 kJ/(kg K); Prandtl number Pr = 0.7 For laminar flow over a...
CODE GIVEN % Create a program to plot the motion of the ping pong ball with drag. % The program will take inputs for velocity in m/s and angle of launch. % note that with a high speed camera I estmated a launch speed for a ping % pong ball could be 30 m/s. vel=30; %m/s angle=60; % convert the degrees into radians so MATLAB likes it angle=angle*pi/180; % set initial values (time, distance, mass, gravity, drag) x(1)=0; % meters...
1. A football has a mass of mp = 0.413 kg. It can be approximated as an ellipsoid 6 in diameter and 12 in long. A 'Hail Mary' pass is thrown upward at a 45° angle with an initial velocity of 55 mph. Air density at sea level is p= 1.22 kg/m². Neglect any spin on the ball and any lift force. Assume turbulent flow and a constant air-drag coefficient of Cp = 0.13. The equation of motion of the...
is attached to a string and rotated in a vertical circle of radius 04 m with constant speed of 12 m/s. Calculate the tension of the bottom of the circle. string at the top and the (b) Moon is revolving around the earth once every 28 days. Determine its angular speed in rad/s. O If the distance between earth and the moon is 3.8 x 10 m, determine the mass of the earth. 6. A 0.2 kg ball is sliding...
t the Wackes in ersed from e with mantude of 15 The Black I haa t he block 2 has mass and Neck has a mass Calculate c t of inte friction between black and a (A) 0.34 B) 0.45 (C) 0.87 (D) 0:54 0.99 14 The work of a given force has its maximum positive value when CA) The vector of displacement and force are at the same direction B) The vector of displacement and force are at the...