Engineering, 17.06.2020 22:57 Abarrett7323

Terminal velocity of a falling ball: For objects falling through air, the drag law is not linear but quadratic. A ball of mass m is released from rest and falls through the air under gravity. Air resistance exerts a drag force with magnitude kv2 in a direction opposite to the velocity of the ball, with k being a constant. (a) Write down a force balance on the ball. What is the terminal velocity of the ball? (no need to solve differential equations to answer this) (b) Set up the differential equation for the velocity of the ball as a function of time v(t). Write down the the initial conditions. (c) Solve the differential equation in (b) for v(t). Check that your solution satisfies the initial conditions and approaches the terminal velocity you expect from (a) as t + 0. (Hint: You will need to use a partial fraction decomposition to solve.

Answers: 3

Show answers

Another question on Engineering

Engineering, 04.07.2019 18:10

Thermal stresses are developed in a metal when its a) initial temperature is changed b) final temperature is changed c) density is changed d) thermal deformation is prevented e) expansion is prevented f) contraction is prevented

Answers: 2

Answer

Engineering, 04.07.2019 18:10

Condition monitoring is a major component of. (clo4) a)- predictive maintenance. b)-preventive maintenance c)-proactive maintenance d)-reactive maintenance.

Answers: 1

Answer

Engineering, 04.07.2019 19:10

Asteel wire of 2 mm diameter is fixed between two points located 2 m apart. the tensile force in the wire is 250n, if its density of steel is given by 7830 kg/m3 the fundamental frequency of vibration hz? ?

Answers: 3

Answer

Engineering, 04.07.2019 19:10

Agas contained within a piston-cylinder assembly e end nation about same energy states, 1 and 2, where pi 10 bar, v undergoes two processes, a and b, between the sam 0.1 m3, ui-400 kj and p2 1 bar, v2 1.0 m2, u2 200 kj: process a: process from 1 to 2 during which the pressure- volume relation is pv constant process b: constant-volume process from state 1 to a pressure of 2 bar, followed by a linear pressure-volume process to +20 0 state 2 kinetic and potential energy effects can be ignored. for each of the processes a and b, (a) sketch the process on p-v coordinates, (b) evaluate the work, in kj, and (c) evaluate process the heat transfer, in kj

Answers: 2

Answer

You know the right answer?

Terminal velocity of a falling ball: For objects falling through air, the drag law is not linear but...

Questions